9,727,662

2 × 3 × 7 × 231611

9,727,662 factors as 2 × 3 × 7 × 231611. Its 16 positive divisors give a proper-divisor sum of 12,507,090, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 231611

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,234,752

Proper Divisor Sum 12,507,090

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9727661 ← → #9727681

Radix Representation

Decimal	9727662
Binary	100101000110111010101110 (24 bits)
Octal	0o45067256
Hexadecimal	0x946EAE

Divisor Catalog (16)

1 2 3 6 7 14 21 42 231,611 463,222 694,833 1,389,666 1,621,277 3,242,554 4,863,831 9,727,662

Collatz Trajectory (119 steps to reach 1)

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

9,727,662 4,863,831 14,591,494 7,295,747 21,887,242 10,943,621 32,830,864 16,415,432 8,207,716 4,103,858 2,051,929 6,155,788 3,077,894 1,538,947 4,616,842 2,308,421 6,925,264 3,462,632 1,731,316 865,658 432,829 1,298,488 649,244 324,622 162,311 486,934 243,467 730,402 365,201 1,095,604 547,802 273,901 821,704 410,852 205,426 102,713 308,140 154,070 77,035 231,106 115,553 346,660 173,330 86,665 259,996 129,998 64,999 194,998 97,499 292,498 146,249 438,748 219,374 109,687 329,062 164,531 493,594 246,797 740,392 370,196

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,727,661 Browse Full Index Next Integer #9,727,663 →