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Atlas › Integer Profiles › Node 57,745,528

57,745,528

23 × 61 × 241 × 491
Deficient Even Composite

57,745,528 factors as 2^3 × 61 × 241 × 491. Its 32 positive divisors give a proper-divisor sum of 52,983,992, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 241 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 110,729,520
Proper Divisor Sum 52,983,992
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #57745511 ← → #57745531

Radix Representation

Decimal 57745528
Binary 11011100010010000001111000 (26 bits)
Octal 0o334220170
Hexadecimal 0x3712078

Divisor Catalog (32)

1 2 4 8 61 122 241 244 482 488 491 964 982 1,928 1,964 3,928 14,701 29,402 29,951 58,804 59,902 117,608 118,331 119,804 236,662 239,608 473,324 946,648 7,218,191 14,436,382 28,872,764 57,745,528

Collatz Trajectory (238 steps to reach 1)

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

57,745,528 28,872,764 14,436,382 7,218,191 21,654,574 10,827,287 32,481,862 16,240,931 48,722,794 24,361,397 73,084,192 36,542,096 18,271,048 9,135,524 4,567,762 2,283,881 6,851,644 3,425,822 1,712,911 5,138,734 2,569,367 7,708,102 3,854,051 11,562,154 5,781,077 17,343,232 8,671,616 4,335,808 2,167,904 1,083,952 541,976 270,988 135,494 67,747 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437 64,312 32,156 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054

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