9,727,496

2³ × 41 × 47 × 631

9,727,496 has digital root 8. The neighboring primes are 9727493 and 9727541; its proper-divisor sum differs from the starting integer by -343,312.

Prime Factor Structure

Factorization String 2^3 × 41 × 47 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,111,680

Proper Divisor Sum 9,384,184

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9727493 ← → #9727541

Radix Representation

Decimal	9727496
Binary	100101000110111000001000 (24 bits)
Octal	0o45067010
Hexadecimal	0x946E08

Divisor Catalog (32)

1 2 4 8 41 47 82 94 164 188 328 376 631 1,262 1,927 2,524 3,854 5,048 7,708 15,416 25,871 29,657 51,742 59,314 103,484 118,628 206,968 237,256 1,215,937 2,431,874 4,863,748 9,727,496

Collatz Trajectory (145 steps to reach 1)

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

9,727,496 4,863,748 2,431,874 1,215,937 3,647,812 1,823,906 911,953 2,735,860 1,367,930 683,965 2,051,896 1,025,948 512,974 256,487 769,462 384,731 1,154,194 577,097 1,731,292 865,646 432,823 1,298,470 649,235 1,947,706 973,853 2,921,560 1,460,780 730,390 365,195 1,095,586 547,793 1,643,380 821,690 410,845 1,232,536 616,268 308,134 154,067 462,202 231,101 693,304 346,652 173,326 86,663 259,990 129,995 389,986 194,993 584,980 292,490 146,245 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283

← Previous Integer #9,727,495 Browse Full Index Next Integer #9,727,497 →