λ
Ratio Atlas

41,702,334

2 × 3 × 6950389
Abundant Even Composite

41,702,334 factors as 2 × 3 × 6950389. Its 8 positive divisors give a proper-divisor sum of 41,702,346, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 3 × 6950389
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 83,404,680
Proper Divisor Sum 41,702,346
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41702333 ← → #41702351

Radix Representation

Decimal 41702334
Binary 10011111000101001110111110 (26 bits)
Octal 0o237051676
Hexadecimal 0x27C53BE

Divisor Catalog (8)

Collatz Trajectory (160 steps to reach 1)

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

41,702,334 20,851,167 62,553,502 31,276,751 93,830,254 46,915,127 140,745,382 70,372,691 211,118,074 105,559,037 316,677,112 158,338,556 79,169,278 39,584,639 118,753,918 59,376,959 178,130,878 89,065,439 267,196,318 133,598,159 400,794,478 200,397,239 601,191,718 300,595,859 901,787,578 450,893,789 1,352,681,368 676,340,684 338,170,342 169,085,171 507,255,514 253,627,757 760,883,272 380,441,636 190,220,818 95,110,409 285,331,228 142,665,614 71,332,807 213,998,422 106,999,211 320,997,634 160,498,817 481,496,452 240,748,226 120,374,113 361,122,340 180,561,170 90,280,585 270,841,756 135,420,878 67,710,439 203,131,318 101,565,659 304,696,978 152,348,489 457,045,468 228,522,734 114,261,367 342,784,102

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