λ
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Atlas › Integer Profiles › Node 57,701,735

57,701,735

5 × 7 × 13 × 29 × 4373
Deficient Odd Composite

57,701,735 factors as 5 × 7 × 13 × 29 × 4373. Its 32 positive divisors give a proper-divisor sum of 30,478,105, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 29 × 4373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,179,840
Proper Divisor Sum 30,478,105
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57701729 ← → #57701737

Radix Representation

Decimal 57701735
Binary 11011100000111010101100111 (26 bits)
Octal 0o334072547
Hexadecimal 0x3707567

Divisor Catalog (32)

1 5 7 13 29 35 65 91 145 203 377 455 1,015 1,885 2,639 4,373 13,195 21,865 30,611 56,849 126,817 153,055 284,245 397,943 634,085 887,719 1,648,621 1,989,715 4,438,595 8,243,105 11,540,347 57,701,735

Collatz Trajectory (282 steps to reach 1)

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

57,701,735 173,105,206 86,552,603 259,657,810 129,828,905 389,486,716 194,743,358 97,371,679 292,115,038 146,057,519 438,172,558 219,086,279 657,258,838 328,629,419 985,888,258 492,944,129 1,478,832,388 739,416,194 369,708,097 1,109,124,292 554,562,146 277,281,073 831,843,220 415,921,610 207,960,805 623,882,416 311,941,208 155,970,604 77,985,302 38,992,651 116,977,954 58,488,977 175,466,932 87,733,466 43,866,733 131,600,200 65,800,100 32,900,050 16,450,025 49,350,076 24,675,038 12,337,519 37,012,558 18,506,279 55,518,838 27,759,419 83,278,258 41,639,129 124,917,388 62,458,694 31,229,347 93,688,042 46,844,021 140,532,064 70,266,032 35,133,016 17,566,508 8,783,254 4,391,627 13,174,882

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