9,949,920

2⁵ × 3 × 5 × 19 × 1091

9,949,920 factors as 2^5 × 3 × 5 × 19 × 1091. Its 96 positive divisors give a proper-divisor sum of 23,072,160, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 19 × 1091

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 33,022,080

Proper Divisor Sum 23,072,160

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9949909 ← → #9949931

Radix Representation

Decimal	9949920
Binary	100101111101001011100000 (24 bits)
Octal	0o45751340
Hexadecimal	0x97D2E0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1,091 1,140 1,520 1,824 2,182 2,280 3,040 3,273 4,364 4,560 5,455 6,546 8,728 9,120 10,910 13,092 16,365 17,456 20,729

Collatz Trajectory (176 steps to reach 1)

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

9,949,920 4,974,960 2,487,480 1,243,740 621,870 310,935 932,806 466,403 1,399,210 699,605 2,098,816 1,049,408 524,704 262,352 131,176 65,588 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762

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