7,756,210

2 × 5 × 7² × 11 × 1439

7,756,210 factors as 2 × 5 × 7^2 × 11 × 1439. Its 48 positive divisors give a proper-divisor sum of 9,973,070, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 11 × 1439

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,729,280

Proper Divisor Sum 9,973,070

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7756193 ← → #7756223

Radix Representation

Decimal	7756210
Binary	11101100101100110110010 (23 bits)
Octal	0o35454662
Hexadecimal	0x7659B2

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1,078 1,439 2,695 2,878 5,390 7,195 10,073 14,390 15,829 20,146 31,658 50,365 70,511 79,145 100,730 110,803 141,022 158,290 221,606 352,555 554,015 705,110 775,621 1,108,030 1,551,242 3,878,105 7,756,210

Collatz Trajectory (155 steps to reach 1)

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

7,756,210 3,878,105 11,634,316 5,817,158 2,908,579 8,725,738 4,362,869 13,088,608 6,544,304 3,272,152 1,636,076 818,038 409,019 1,227,058 613,529 1,840,588 920,294 460,147 1,380,442 690,221 2,070,664 1,035,332 517,666 258,833 776,500 388,250 194,125 582,376 291,188 145,594 72,797 218,392 109,196 54,598 27,299 81,898 40,949 122,848 61,424 30,712 15,356 7,678 3,839 11,518 5,759 17,278 8,639 25,918 12,959 38,878 19,439 58,318 29,159 87,478 43,739 131,218 65,609 196,828 98,414 49,207

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