λ
Ratio Atlas

74,015,038

2 × 223 × 263 × 631
Deficient Even Composite

74,015,038 factors as 2 × 223 × 263 × 631. Its 16 positive divisors give a proper-divisor sum of 38,106,818, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 223 × 263 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 112,121,856
Proper Divisor Sum 38,106,818
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #74015027 ← → #74015041

Radix Representation

Decimal 74015038
Binary 100011010010110000100111110 (27 bits)
Octal 0o432260476
Hexadecimal 0x469613E

Divisor Catalog (16)

Collatz Trajectory (166 steps to reach 1)

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

74,015,038 37,007,519 111,022,558 55,511,279 166,533,838 83,266,919 249,800,758 124,900,379 374,701,138 187,350,569 562,051,708 281,025,854 140,512,927 421,538,782 210,769,391 632,308,174 316,154,087 948,462,262 474,231,131 1,422,693,394 711,346,697 2,134,040,092 1,067,020,046 533,510,023 1,600,530,070 800,265,035 2,400,795,106 1,200,397,553 3,601,192,660 1,800,596,330 900,298,165 2,700,894,496 1,350,447,248 675,223,624 337,611,812 168,805,906 84,402,953 253,208,860 126,604,430 63,302,215 189,906,646 94,953,323 284,859,970 142,429,985 427,289,956 213,644,978 106,822,489 320,467,468 160,233,734 80,116,867 240,350,602 120,175,301 360,525,904 180,262,952 90,131,476 45,065,738 22,532,869 67,598,608 33,799,304 16,899,652

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