10,247,724

2² × 3² × 284659

10,247,724 factors as 2^2 × 3^2 × 284659. Its 18 positive divisors give a proper-divisor sum of 15,656,336, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 284659

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 25,904,060

Proper Divisor Sum 15,656,336

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10247693 ← → #10247747

Radix Representation

Decimal	10247724
Binary	100111000101111000101100 (24 bits)
Octal	0o47057054
Hexadecimal	0x9C5E2C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 284,659 569,318 853,977 1,138,636 1,707,954 2,561,931 3,415,908 5,123,862 10,247,724

Collatz Trajectory (158 steps to reach 1)

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

10,247,724 5,123,862 2,561,931 7,685,794 3,842,897 11,528,692 5,764,346 2,882,173 8,646,520 4,323,260 2,161,630 1,080,815 3,242,446 1,621,223 4,863,670 2,431,835 7,295,506 3,647,753 10,943,260 5,471,630 2,735,815 8,207,446 4,103,723 12,311,170 6,155,585 18,466,756 9,233,378 4,616,689 13,850,068 6,925,034 3,462,517 10,387,552 5,193,776 2,596,888 1,298,444 649,222 324,611 973,834 486,917 1,460,752 730,376 365,188 182,594 91,297 273,892 136,946 68,473 205,420 102,710 51,355 154,066 77,033 231,100 115,550 57,775 173,326 86,663 259,990 129,995 389,986

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