λ
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Atlas › Integer Profiles › Node 64,046,844

64,046,844

22 × 32 × 1153 × 1543
Abundant Even Composite

64,046,844 factors as 2^2 × 3^2 × 1153 × 1543. Its 36 positive divisors give a proper-divisor sum of 98,094,772, so this integer is abundant. The Collatz stopping time is 264 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1153 × 1543
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 162,141,616
Proper Divisor Sum 98,094,772
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #64046833 ← → #64046861

Radix Representation

Decimal 64046844
Binary 11110100010100011011111100 (26 bits)
Octal 0o364243374
Hexadecimal 0x3D146FC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 1,153 1,543 2,306 3,086 3,459 4,612 4,629 6,172 6,918 9,258 10,377 13,836 13,887 18,516 20,754 27,774 41,508 55,548 1,779,079 3,558,158 5,337,237 7,116,316 10,674,474 16,011,711 21,348,948 32,023,422 64,046,844

Collatz Trajectory (264 steps to reach 1)

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

64,046,844 32,023,422 16,011,711 48,035,134 24,017,567 72,052,702 36,026,351 108,079,054 54,039,527 162,118,582 81,059,291 243,177,874 121,588,937 364,766,812 182,383,406 91,191,703 273,575,110 136,787,555 410,362,666 205,181,333 615,544,000 307,772,000 153,886,000 76,943,000 38,471,500 19,235,750 9,617,875 28,853,626 14,426,813 43,280,440 21,640,220 10,820,110 5,410,055 16,230,166 8,115,083 24,345,250 12,172,625 36,517,876 18,258,938 9,129,469 27,388,408 13,694,204 6,847,102 3,423,551 10,270,654 5,135,327 15,405,982 7,702,991 23,108,974 11,554,487 34,663,462 17,331,731 51,995,194 25,997,597 77,992,792 38,996,396 19,498,198 9,749,099 29,247,298 14,623,649

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