9,792,320

2⁶ × 5 × 71 × 431

9,792,320 factors as 2^6 × 5 × 71 × 431. Its 56 positive divisors give a proper-divisor sum of 13,908,928, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 71 × 431

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 23,701,248

Proper Divisor Sum 13,908,928

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9792301 ← → #9792329

Radix Representation

Decimal	9792320
Binary	100101010110101101000000 (24 bits)
Octal	0o45265500
Hexadecimal	0x956B40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 431 568 710 862 1,136 1,420 1,724 2,155 2,272 2,840 3,448 4,310 4,544 5,680 6,896 8,620 11,360 13,792 17,240 22,720 27,584 30,601 34,480 61,202 68,960 122,404 137,920 153,005 244,808 306,010 489,616 612,020 979,232 1,224,040 1,958,464 2,448,080 4,896,160 9,792,320

Collatz Trajectory (207 steps to reach 1)

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

9,792,320 4,896,160 2,448,080 1,224,040 612,020 306,010 153,005 459,016 229,508 114,754 57,377 172,132 86,066 43,033 129,100 64,550 32,275 96,826 48,413 145,240 72,620 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126

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