λ
Ratio Atlas

57,740,921

7 × 659 × 12517
Deficient Odd Composite

57,740,921 factors as 7 × 659 × 12517. Its 8 positive divisors give a proper-divisor sum of 8,354,119, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 7 × 659 × 12517
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 66,095,040
Proper Divisor Sum 8,354,119
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #57740911 ← → #57740923

Radix Representation

Decimal 57740921
Binary 11011100010000111001111001 (26 bits)
Octal 0o334207171
Hexadecimal 0x3710E79

Divisor Catalog (8)

Collatz Trajectory (207 steps to reach 1)

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

57,740,921 173,222,764 86,611,382 43,305,691 129,917,074 64,958,537 194,875,612 97,437,806 48,718,903 146,156,710 73,078,355 219,235,066 109,617,533 328,852,600 164,426,300 82,213,150 41,106,575 123,319,726 61,659,863 184,979,590 92,489,795 277,469,386 138,734,693 416,204,080 208,102,040 104,051,020 52,025,510 26,012,755 78,038,266 39,019,133 117,057,400 58,528,700 29,264,350 14,632,175 43,896,526 21,948,263 65,844,790 32,922,395 98,767,186 49,383,593 148,150,780 74,075,390 37,037,695 111,113,086 55,556,543 166,669,630 83,334,815 250,004,446 125,002,223 375,006,670 187,503,335 562,510,006 281,255,003 843,765,010 421,882,505 1,265,647,516 632,823,758 316,411,879 949,235,638 474,617,819

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