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Atlas › Integer Profiles › Node 45,877,464

45,877,464

23 × 32 × 137 × 4651
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 137 × 4651
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 125,185,320
Proper Divisor Sum 79,307,856
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #45877463 ← → #45877471

Radix Representation

Decimal 45877464
Binary 10101111000000100011011000 (26 bits)
Octal 0o257004330
Hexadecimal 0x2BC08D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1,096 1,233 1,644 2,466 3,288 4,651 4,932 9,302 9,864 13,953 18,604 27,906 37,208 41,859 55,812 83,718 111,624 167,436 334,872 637,187 1,274,374 1,911,561 2,548,748 3,823,122 5,097,496 5,734,683 7,646,244 11,469,366 15,292,488 22,938,732 45,877,464

Collatz Trajectory (354 steps to reach 1)

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

45,877,464 22,938,732 11,469,366 5,734,683 17,204,050 8,602,025 25,806,076 12,903,038 6,451,519 19,354,558 9,677,279 29,031,838 14,515,919 43,547,758 21,773,879 65,321,638 32,660,819 97,982,458 48,991,229 146,973,688 73,486,844 36,743,422 18,371,711 55,115,134 27,557,567 82,672,702 41,336,351 124,009,054 62,004,527 186,013,582 93,006,791 279,020,374 139,510,187 418,530,562 209,265,281 627,795,844 313,897,922 156,948,961 470,846,884 235,423,442 117,711,721 353,135,164 176,567,582 88,283,791 264,851,374 132,425,687 397,277,062 198,638,531 595,915,594 297,957,797 893,873,392 446,936,696 223,468,348 111,734,174 55,867,087 167,601,262 83,800,631 251,401,894 125,700,947 377,102,842

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