λ
Ratio Atlas

36,938,718

2 × 32 × 859 × 2389
Abundant Even Composite

36,938,718 factors as 2 × 3^2 × 859 × 2389. Its 24 positive divisors give a proper-divisor sum of 43,221,882, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 859 × 2389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 80,160,600
Proper Divisor Sum 43,221,882
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36938687 ← → #36938719

Radix Representation

Decimal 36938718
Binary 10001100111010001111011110 (26 bits)
Octal 0o214721736
Hexadecimal 0x233A3DE

Divisor Catalog (24)

Collatz Trajectory (214 steps to reach 1)

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

36,938,718 18,469,359 55,408,078 27,704,039 83,112,118 41,556,059 124,668,178 62,334,089 187,002,268 93,501,134 46,750,567 140,251,702 70,125,851 210,377,554 105,188,777 315,566,332 157,783,166 78,891,583 236,674,750 118,337,375 355,012,126 177,506,063 532,518,190 266,259,095 798,777,286 399,388,643 1,198,165,930 599,082,965 1,797,248,896 898,624,448 449,312,224 224,656,112 112,328,056 56,164,028 28,082,014 14,041,007 42,123,022 21,061,511 63,184,534 31,592,267 94,776,802 47,388,401 142,165,204 71,082,602 35,541,301 106,623,904 53,311,952 26,655,976 13,327,988 6,663,994 3,331,997 9,995,992 4,997,996 2,498,998 1,249,499 3,748,498 1,874,249 5,622,748 2,811,374 1,405,687

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