λ
Ratio Atlas

57,715,327

57715327
Deficient Odd Prime

57,715,327 factors as 57715327. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 57715327
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 57,715,328
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57715321 ← → #57715337

Radix Representation

Decimal 57715327
Binary 11011100001010101001111111 (26 bits)
Octal 0o334125177
Hexadecimal 0x370AA7F

Divisor Catalog (2)

Collatz Trajectory (238 steps to reach 1)

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

57,715,327 173,145,982 86,572,991 259,718,974 129,859,487 389,578,462 194,789,231 584,367,694 292,183,847 876,551,542 438,275,771 1,314,827,314 657,413,657 1,972,240,972 986,120,486 493,060,243 1,479,180,730 739,590,365 2,218,771,096 1,109,385,548 554,692,774 277,346,387 832,039,162 416,019,581 1,248,058,744 624,029,372 312,014,686 156,007,343 468,022,030 234,011,015 702,033,046 351,016,523 1,053,049,570 526,524,785 1,579,574,356 789,787,178 394,893,589 1,184,680,768 592,340,384 296,170,192 148,085,096 74,042,548 37,021,274 18,510,637 55,531,912 27,765,956 13,882,978 6,941,489 20,824,468 10,412,234 5,206,117 15,618,352 7,809,176 3,904,588 1,952,294 976,147 2,928,442 1,464,221 4,392,664 2,196,332

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