λ
Ratio Atlas

40,376,374

2 × 313 × 64499
Deficient Even Composite

40,376,374 factors as 2 × 313 × 64499. Its 8 positive divisors give a proper-divisor sum of 20,382,626, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 313 × 64499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 60,759,000
Proper Divisor Sum 20,382,626
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40376359 ← → #40376383

Radix Representation

Decimal 40376374
Binary 10011010000001100000110110 (26 bits)
Octal 0o232014066
Hexadecimal 0x2681836

Divisor Catalog (8)

Collatz Trajectory (147 steps to reach 1)

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

40,376,374 20,188,187 60,564,562 30,282,281 90,846,844 45,423,422 22,711,711 68,135,134 34,067,567 102,202,702 51,101,351 153,304,054 76,652,027 229,956,082 114,978,041 344,934,124 172,467,062 86,233,531 258,700,594 129,350,297 388,050,892 194,025,446 97,012,723 291,038,170 145,519,085 436,557,256 218,278,628 109,139,314 54,569,657 163,708,972 81,854,486 40,927,243 122,781,730 61,390,865 184,172,596 92,086,298 46,043,149 138,129,448 69,064,724 34,532,362 17,266,181 51,798,544 25,899,272 12,949,636 6,474,818 3,237,409 9,712,228 4,856,114 2,428,057 7,284,172 3,642,086 1,821,043 5,463,130 2,731,565 8,194,696 4,097,348 2,048,674 1,024,337 3,073,012 1,536,506

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