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Atlas › Integer Profiles › Node 57,724,880

57,724,880

24 × 5 × 721561
Abundant Even Composite

57,724,880 factors as 2^4 × 5 × 721561. Its 20 positive divisors give a proper-divisor sum of 76,485,652, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 721561
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 134,210,532
Proper Divisor Sum 76,485,652
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57724879 ← → #57724913

Radix Representation

Decimal 57724880
Binary 11011100001100111111010000 (26 bits)
Octal 0o334147720
Hexadecimal 0x370CFD0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 721,561 1,443,122 2,886,244 3,607,805 5,772,488 7,215,610 11,544,976 14,431,220 28,862,440 57,724,880

Collatz Trajectory (75 steps to reach 1)

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

57,724,880 28,862,440 14,431,220 7,215,610 3,607,805 10,823,416 5,411,708 2,705,854 1,352,927 4,058,782 2,029,391 6,088,174 3,044,087 9,132,262 4,566,131 13,698,394 6,849,197 20,547,592 10,273,796 5,136,898 2,568,449 7,705,348 3,852,674 1,926,337 5,779,012 2,889,506 1,444,753 4,334,260 2,167,130 1,083,565 3,250,696 1,625,348 812,674 406,337 1,219,012 609,506 304,753 914,260 457,130 228,565 685,696 342,848 171,424 85,712 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

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