λ
Ratio Atlas

40,378,702

2 × 7 × 13 × 149 × 1489
Deficient Even Composite

40,378,702 factors as 2 × 7 × 13 × 149 × 1489. Its 32 positive divisors give a proper-divisor sum of 34,717,298, so this integer is deficient. The Collatz stopping time is 245 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 149 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 75,096,000
Proper Divisor Sum 34,717,298
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40378669 ← → #40378703

Radix Representation

Decimal 40378702
Binary 10011010000010000101001110 (26 bits)
Octal 0o232020516
Hexadecimal 0x268214E

Divisor Catalog (32)

Collatz Trajectory (245 steps to reach 1)

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

40,378,702 20,189,351 60,568,054 30,284,027 90,852,082 45,426,041 136,278,124 68,139,062 34,069,531 102,208,594 51,104,297 153,312,892 76,656,446 38,328,223 114,984,670 57,492,335 172,477,006 86,238,503 258,715,510 129,357,755 388,073,266 194,036,633 582,109,900 291,054,950 145,527,475 436,582,426 218,291,213 654,873,640 327,436,820 163,718,410 81,859,205 245,577,616 122,788,808 61,394,404 30,697,202 15,348,601 46,045,804 23,022,902 11,511,451 34,534,354 17,267,177 51,801,532 25,900,766 12,950,383 38,851,150 19,425,575 58,276,726 29,138,363 87,415,090 43,707,545 131,122,636 65,561,318 32,780,659 98,341,978 49,170,989 147,512,968 73,756,484 36,878,242 18,439,121 55,317,364

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