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Atlas › Integer Profiles › Node 54,801,696

54,801,696

25 × 3 × 570851
Abundant Even Composite

54,801,696 factors as 2^5 × 3 × 570851. Its 24 positive divisors give a proper-divisor sum of 89,053,008, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 570851
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 143,854,704
Proper Divisor Sum 89,053,008
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #54801689 ← → #54801701

Radix Representation

Decimal 54801696
Binary 11010001000011010100100000 (26 bits)
Octal 0o321032440
Hexadecimal 0x3443520

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 570,851 1,141,702 1,712,553 2,283,404 3,425,106 4,566,808 6,850,212 9,133,616 13,700,424 18,267,232 27,400,848 54,801,696

Collatz Trajectory (194 steps to reach 1)

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

54,801,696 27,400,848 13,700,424 6,850,212 3,425,106 1,712,553 5,137,660 2,568,830 1,284,415 3,853,246 1,926,623 5,779,870 2,889,935 8,669,806 4,334,903 13,004,710 6,502,355 19,507,066 9,753,533 29,260,600 14,630,300 7,315,150 3,657,575 10,972,726 5,486,363 16,459,090 8,229,545 24,688,636 12,344,318 6,172,159 18,516,478 9,258,239 27,774,718 13,887,359 41,662,078 20,831,039 62,493,118 31,246,559 93,739,678 46,869,839 140,609,518 70,304,759 210,914,278 105,457,139 316,371,418 158,185,709 474,557,128 237,278,564 118,639,282 59,319,641 177,958,924 88,979,462 44,489,731 133,469,194 66,734,597 200,203,792 100,101,896 50,050,948 25,025,474 12,512,737

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