λ
Ratio Atlas

57,747,815

5 × 79 × 146197
Deficient Odd Composite

57,747,815 factors as 5 × 79 × 146197. Its 8 positive divisors give a proper-divisor sum of 12,427,225, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 5 × 79 × 146197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 70,175,040
Proper Divisor Sum 12,427,225
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57747797 ← → #57747841

Radix Representation

Decimal 57747815
Binary 11011100010010100101100111 (26 bits)
Octal 0o334224547
Hexadecimal 0x3712967

Divisor Catalog (8)

Collatz Trajectory (132 steps to reach 1)

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

57,747,815 173,243,446 86,621,723 259,865,170 129,932,585 389,797,756 194,898,878 97,449,439 292,348,318 146,174,159 438,522,478 219,261,239 657,783,718 328,891,859 986,675,578 493,337,789 1,480,013,368 740,006,684 370,003,342 185,001,671 555,005,014 277,502,507 832,507,522 416,253,761 1,248,761,284 624,380,642 312,190,321 936,570,964 468,285,482 234,142,741 702,428,224 351,214,112 175,607,056 87,803,528 43,901,764 21,950,882 10,975,441 32,926,324 16,463,162 8,231,581 24,694,744 12,347,372 6,173,686 3,086,843 9,260,530 4,630,265 13,890,796 6,945,398 3,472,699 10,418,098 5,209,049 15,627,148 7,813,574 3,906,787 11,720,362 5,860,181 17,580,544 8,790,272 4,395,136 2,197,568

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