λ
Ratio Atlas

36,970,386

2 × 3 × 97 × 139 × 457
Abundant Even Composite

36,970,386 factors as 2 × 3 × 97 × 139 × 457. Its 32 positive divisors give a proper-divisor sum of 38,434,734, so this integer is abundant. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 139 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,405,120
Proper Divisor Sum 38,434,734
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36970369 ← → #36970457

Radix Representation

Decimal 36970386
Binary 10001101000001111110010010 (26 bits)
Octal 0o215017622
Hexadecimal 0x2341F92

Divisor Catalog (32)

Collatz Trajectory (276 steps to reach 1)

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

36,970,386 18,485,193 55,455,580 27,727,790 13,863,895 41,591,686 20,795,843 62,387,530 31,193,765 93,581,296 46,790,648 23,395,324 11,697,662 5,848,831 17,546,494 8,773,247 26,319,742 13,159,871 39,479,614 19,739,807 59,219,422 29,609,711 88,829,134 44,414,567 133,243,702 66,621,851 199,865,554 99,932,777 299,798,332 149,899,166 74,949,583 224,848,750 112,424,375 337,273,126 168,636,563 505,909,690 252,954,845 758,864,536 379,432,268 189,716,134 94,858,067 284,574,202 142,287,101 426,861,304 213,430,652 106,715,326 53,357,663 160,072,990 80,036,495 240,109,486 120,054,743 360,164,230 180,082,115 540,246,346 270,123,173 810,369,520 405,184,760 202,592,380 101,296,190 50,648,095

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