λ
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Atlas › Integer Profiles › Node 57,764,955

57,764,955

3 × 5 × 29 × 372 × 97
Deficient Odd Composite

57,764,955 factors as 3 × 5 × 29 × 37^2 × 97. Its 48 positive divisors give a proper-divisor sum of 41,512,965, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 37^2 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,277,920
Proper Divisor Sum 41,512,965
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57764951 ← → #57764957

Radix Representation

Decimal 57764955
Binary 11011100010110110001011011 (26 bits)
Octal 0o334266133
Hexadecimal 0x3716C5B

Divisor Catalog (48)

1 3 5 15 29 37 87 97 111 145 185 291 435 485 555 1,073 1,369 1,455 2,813 3,219 3,589 4,107 5,365 6,845 8,439 10,767 14,065 16,095 17,945 20,535 39,701 42,195 53,835 104,081 119,103 132,793 198,505 312,243 398,379 520,405 595,515 663,965 1,561,215 1,991,895 3,850,997 11,552,991 19,254,985 57,764,955

Collatz Trajectory (145 steps to reach 1)

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

57,764,955 173,294,866 86,647,433 259,942,300 129,971,150 64,985,575 194,956,726 97,478,363 292,435,090 146,217,545 438,652,636 219,326,318 109,663,159 328,989,478 164,494,739 493,484,218 246,742,109 740,226,328 370,113,164 185,056,582 92,528,291 277,584,874 138,792,437 416,377,312 208,188,656 104,094,328 52,047,164 26,023,582 13,011,791 39,035,374 19,517,687 58,553,062 29,276,531 87,829,594 43,914,797 131,744,392 65,872,196 32,936,098 16,468,049 49,404,148 24,702,074 12,351,037 37,053,112 18,526,556 9,263,278 4,631,639 13,894,918 6,947,459 20,842,378 10,421,189 31,263,568 15,631,784 7,815,892 3,907,946 1,953,973 5,861,920 2,930,960 1,465,480 732,740 366,370

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