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Atlas › Integer Profiles › Node 57,712,592

57,712,592

24 × 72 × 73613
Abundant Even Composite

57,712,592 factors as 2^4 × 7^2 × 73613. Its 30 positive divisors give a proper-divisor sum of 72,363,346, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 73613
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 130,075,938
Proper Divisor Sum 72,363,346
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57712591 ← → #57712619

Radix Representation

Decimal 57712592
Binary 11011100001001111111010000 (26 bits)
Octal 0o334117720
Hexadecimal 0x3709FD0

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 73,613 147,226 294,452 515,291 588,904 1,030,582 1,177,808 2,061,164 3,607,037 4,122,328 7,214,074 8,244,656 14,428,148 28,856,296 57,712,592

Collatz Trajectory (238 steps to reach 1)

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

57,712,592 28,856,296 14,428,148 7,214,074 3,607,037 10,821,112 5,410,556 2,705,278 1,352,639 4,057,918 2,028,959 6,086,878 3,043,439 9,130,318 4,565,159 13,695,478 6,847,739 20,543,218 10,271,609 30,814,828 15,407,414 7,703,707 23,111,122 11,555,561 34,666,684 17,333,342 8,666,671 26,000,014 13,000,007 39,000,022 19,500,011 58,500,034 29,250,017 87,750,052 43,875,026 21,937,513 65,812,540 32,906,270 16,453,135 49,359,406 24,679,703 74,039,110 37,019,555 111,058,666 55,529,333 166,588,000 83,294,000 41,647,000 20,823,500 10,411,750 5,205,875 15,617,626 7,808,813 23,426,440 11,713,220 5,856,610 2,928,305 8,784,916 4,392,458 2,196,229

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