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Atlas › Integer Profiles › Node 10,247,730

10,247,730

2 × 3 × 5 × 29 × 11779
Abundant Even Composite

10,247,730 factors as 2 × 3 × 5 × 29 × 11779. Its 32 positive divisors give a proper-divisor sum of 15,197,070, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 29 × 11779
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,444,800
Proper Divisor Sum 15,197,070
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10247693 ← → #10247747

Radix Representation

Decimal 10247730
Binary 100111000101111000110010 (24 bits)
Octal 0o47057062
Hexadecimal 0x9C5E32

Divisor Catalog (32)

1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 11,779 23,558 35,337 58,895 70,674 117,790 176,685 341,591 353,370 683,182 1,024,773 1,707,955 2,049,546 3,415,910 5,123,865 10,247,730

Collatz Trajectory (158 steps to reach 1)

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

10,247,730 5,123,865 15,371,596 7,685,798 3,842,899 11,528,698 5,764,349 17,293,048 8,646,524 4,323,262 2,161,631 6,484,894 3,242,447 9,727,342 4,863,671 14,591,014 7,295,507 21,886,522 10,943,261 32,829,784 16,414,892 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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