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Atlas › Integer Profiles › Node 57,597,075

57,597,075

35 × 52 × 19 × 499
Deficient Odd Composite

57,597,075 factors as 3^5 × 5^2 × 19 × 499. Its 72 positive divisors give a proper-divisor sum of 55,242,925, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^5 × 5^2 × 19 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 112,840,000
Proper Divisor Sum 55,242,925
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #57597047 ← → #57597079

Radix Representation

Decimal 57597075
Binary 11011011101101110010010011 (26 bits)
Octal 0o333556223
Hexadecimal 0x36EDC93

Divisor Catalog (60 of 72)

1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 243 285 405 475 499 513 675 855 1,215 1,425 1,497 1,539 2,025 2,495 2,565 4,275 4,491 4,617 6,075 7,485 7,695 9,481 12,475 12,825 13,473 22,455 23,085 28,443 37,425 38,475 40,419 47,405 67,365 85,329 112,275 115,425 121,257 142,215 202,095 237,025 255,987 336,825 426,645 606,285

Collatz Trajectory (145 steps to reach 1)

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

57,597,075 172,791,226 86,395,613 259,186,840 129,593,420 64,796,710 32,398,355 97,195,066 48,597,533 145,792,600 72,896,300 36,448,150 18,224,075 54,672,226 27,336,113 82,008,340 41,004,170 20,502,085 61,506,256 30,753,128 15,376,564 7,688,282 3,844,141 11,532,424 5,766,212 2,883,106 1,441,553 4,324,660 2,162,330 1,081,165 3,243,496 1,621,748 810,874 405,437 1,216,312 608,156 304,078 152,039 456,118 228,059 684,178 342,089 1,026,268 513,134 256,567 769,702 384,851 1,154,554 577,277 1,731,832 865,916 432,958 216,479 649,438 324,719 974,158 487,079 1,461,238 730,619 2,191,858

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