λ
Ratio Atlas

42,428,489

61 × 137 × 5077
Deficient Odd Composite

42,428,489 factors as 61 × 137 × 5077. Its 8 positive divisors give a proper-divisor sum of 1,018,879, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 61 × 137 × 5077
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 43,447,368
Proper Divisor Sum 1,018,879
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #42428483 ← → #42428509

Radix Representation

Decimal 42428489
Binary 10100001110110100001001001 (26 bits)
Octal 0o241664111
Hexadecimal 0x2876849

Divisor Catalog (8)

Collatz Trajectory (178 steps to reach 1)

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

42,428,489 127,285,468 63,642,734 31,821,367 95,464,102 47,732,051 143,196,154 71,598,077 214,794,232 107,397,116 53,698,558 26,849,279 80,547,838 40,273,919 120,821,758 60,410,879 181,232,638 90,616,319 271,848,958 135,924,479 407,773,438 203,886,719 611,660,158 305,830,079 917,490,238 458,745,119 1,376,235,358 688,117,679 2,064,353,038 1,032,176,519 3,096,529,558 1,548,264,779 4,644,794,338 2,322,397,169 6,967,191,508 3,483,595,754 1,741,797,877 5,225,393,632 2,612,696,816 1,306,348,408 653,174,204 326,587,102 163,293,551 489,880,654 244,940,327 734,820,982 367,410,491 1,102,231,474 551,115,737 1,653,347,212 826,673,606 413,336,803 1,240,010,410 620,005,205 1,860,015,616 930,007,808 465,003,904 232,501,952 116,250,976 58,125,488

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