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Atlas › Integer Profiles › Node 23,930,704

23,930,704

24 × 7 × 43 × 4969
Abundant Even Composite

23,930,704 factors as 2^4 × 7 × 43 × 4969. Its 40 positive divisors give a proper-divisor sum of 30,301,936, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 43 × 4969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 54,232,640
Proper Divisor Sum 30,301,936
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #23930701 ← → #23930723

Radix Representation

Decimal 23930704
Binary 1011011010010011101010000 (25 bits)
Octal 0o133223520
Hexadecimal 0x16D2750

Divisor Catalog (40)

1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1,204 2,408 4,816 4,969 9,938 19,876 34,783 39,752 69,566 79,504 139,132 213,667 278,264 427,334 556,528 854,668 1,495,669 1,709,336 2,991,338 3,418,672 5,982,676 11,965,352 23,930,704

Collatz Trajectory (79 steps to reach 1)

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

23,930,704 11,965,352 5,982,676 2,991,338 1,495,669 4,487,008 2,243,504 1,121,752 560,876 280,438 140,219 420,658 210,329 630,988 315,494 157,747 473,242 236,621 709,864 354,932 177,466 88,733 266,200 133,100 66,550 33,275 99,826 49,913 149,740 74,870 37,435 112,306 56,153 168,460 84,230 42,115 126,346 63,173 189,520 94,760 47,380 23,690 11,845 35,536 17,768 8,884 4,442 2,221 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704

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