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Atlas › Integer Profiles › Node 57,732,705

57,732,705

32 × 5 × 929 × 1381
Deficient Odd Composite

57,732,705 factors as 3^2 × 5 × 929 × 1381. Its 24 positive divisors give a proper-divisor sum of 42,517,575, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 929 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 100,250,280
Proper Divisor Sum 42,517,575
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #57732673 ← → #57732721

Radix Representation

Decimal 57732705
Binary 11011100001110111001100001 (26 bits)
Octal 0o334167141
Hexadecimal 0x370EE61

Divisor Catalog (24)

1 3 5 9 15 45 929 1,381 2,787 4,143 4,645 6,905 8,361 12,429 13,935 20,715 41,805 62,145 1,282,949 3,848,847 6,414,745 11,546,541 19,244,235 57,732,705

Collatz Trajectory (207 steps to reach 1)

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

57,732,705 173,198,116 86,599,058 43,299,529 129,898,588 64,949,294 32,474,647 97,423,942 48,711,971 146,135,914 73,067,957 219,203,872 109,601,936 54,800,968 27,400,484 13,700,242 6,850,121 20,550,364 10,275,182 5,137,591 15,412,774 7,706,387 23,119,162 11,559,581 34,678,744 17,339,372 8,669,686 4,334,843 13,004,530 6,502,265 19,506,796 9,753,398 4,876,699 14,630,098 7,315,049 21,945,148 10,972,574 5,486,287 16,458,862 8,229,431 24,688,294 12,344,147 37,032,442 18,516,221 55,548,664 27,774,332 13,887,166 6,943,583 20,830,750 10,415,375 31,246,126 15,623,063 46,869,190 23,434,595 70,303,786 35,151,893 105,455,680 52,727,840 26,363,920 13,181,960

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