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Atlas › Integer Profiles › Node 8,788,752

8,788,752

24 × 32 × 7 × 8719
Abundant Even Composite

8,788,752 factors as 2^4 × 3^2 × 7 × 8719. Its 60 positive divisors give a proper-divisor sum of 19,324,528, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 8719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 28,113,280
Proper Divisor Sum 19,324,528
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8788729 ← → #8788757

Radix Representation

Decimal 8788752
Binary 100001100001101100010000 (24 bits)
Octal 0o41415420
Hexadecimal 0x861B10

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 8,719 17,438 26,157 34,876 52,314 61,033 69,752 78,471 104,628 122,066 139,504 156,942 183,099 209,256 244,132 313,884 366,198 418,512 488,264 549,297 627,768 732,396 976,528 1,098,594 1,255,536 1,464,792 2,197,188 2,929,584 4,394,376 8,788,752

Collatz Trajectory (119 steps to reach 1)

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

8,788,752 4,394,376 2,197,188 1,098,594 549,297 1,647,892 823,946 411,973 1,235,920 617,960 308,980 154,490 77,245 231,736 115,868 57,934 28,967 86,902 43,451 130,354 65,177 195,532 97,766 48,883 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154 19,577 58,732 29,366 14,683 44,050 22,025 66,076 33,038 16,519 49,558 24,779 74,338 37,169 111,508 55,754

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