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Atlas › Integer Profiles › Node 23,023,924

23,023,924

22 × 72 × 11 × 59 × 181
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11 × 59 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 52,284,960
Proper Divisor Sum 29,261,036
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #23023907 ← → #23023993

Radix Representation

Decimal 23023924
Binary 1010111110101000100110100 (25 bits)
Octal 0o127650464
Hexadecimal 0x15F5134

Divisor Catalog (60 of 72)

1 2 4 7 11 14 22 28 44 49 59 77 98 118 154 181 196 236 308 362 413 539 649 724 826 1,078 1,267 1,298 1,652 1,991 2,156 2,534 2,596 2,891 3,982 4,543 5,068 5,782 7,964 8,869 9,086 10,679 11,564 13,937 17,738 18,172 21,358 27,874 31,801 35,476 42,716 55,748 63,602 74,753 97,559 117,469 127,204 149,506 195,118 234,938

Collatz Trajectory (172 steps to reach 1)

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

23,023,924 11,511,962 5,755,981 17,267,944 8,633,972 4,316,986 2,158,493 6,475,480 3,237,740 1,618,870 809,435 2,428,306 1,214,153 3,642,460 1,821,230 910,615 2,731,846 1,365,923 4,097,770 2,048,885 6,146,656 3,073,328 1,536,664 768,332 384,166 192,083 576,250 288,125 864,376 432,188 216,094 108,047 324,142 162,071 486,214 243,107 729,322 364,661 1,093,984 546,992 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846 14,423 43,270 21,635 64,906 32,453 97,360 48,680 24,340

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