7,549,430

2 × 5 × 7³ × 31 × 71

7,549,430 factors as 2 × 5 × 7^3 × 31 × 71. Its 64 positive divisors give a proper-divisor sum of 9,039,370, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 31 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 16,588,800

Proper Divisor Sum 9,039,370

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7549429 ← → #7549439

Radix Representation

Decimal	7549430
Binary	11100110011000111110110 (23 bits)
Octal	0o34630766
Hexadecimal	0x7331F6

Divisor Catalog (60 of 64)

1 2 5 7 10 14 31 35 49 62 70 71 98 142 155 217 245 310 343 355 434 490 497 686 710 994 1,085 1,519 1,715 2,170 2,201 2,485 3,038 3,430 3,479 4,402 4,970 6,958 7,595 10,633 11,005 15,190 15,407 17,395 21,266 22,010 24,353 30,814 34,790 48,706 53,165 77,035 106,330 107,849 121,765 154,070 215,698 243,530 539,245 754,943

Collatz Trajectory (217 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,549,430 3,774,715 11,324,146 5,662,073 16,986,220 8,493,110 4,246,555 12,739,666 6,369,833 19,109,500 9,554,750 4,777,375 14,332,126 7,166,063 21,498,190 10,749,095 32,247,286 16,123,643 48,370,930 24,185,465 72,556,396 36,278,198 18,139,099 54,417,298 27,208,649 81,625,948 40,812,974 20,406,487 61,219,462 30,609,731 91,829,194 45,914,597 137,743,792 68,871,896 34,435,948 17,217,974 8,608,987 25,826,962 12,913,481 38,740,444 19,370,222 9,685,111 29,055,334 14,527,667 43,583,002 21,791,501 65,374,504 32,687,252 16,343,626 8,171,813 24,515,440 12,257,720 6,128,860 3,064,430 1,532,215 4,596,646 2,298,323 6,894,970 3,447,485 10,342,456

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