λ
Ratio Atlas

40,479,273

32 × 29 × 31 × 5003
Deficient Odd Composite

40,479,273 factors as 3^2 × 29 × 31 × 5003. Its 24 positive divisors give a proper-divisor sum of 21,970,647, so this integer is deficient. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 31 × 5003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 62,449,920
Proper Divisor Sum 21,970,647
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40479269 ← → #40479289

Radix Representation

Decimal 40479273
Binary 10011010011010101000101001 (26 bits)
Octal 0o232325051
Hexadecimal 0x269AA29

Divisor Catalog (24)

Collatz Trajectory (222 steps to reach 1)

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

40,479,273 121,437,820 60,718,910 30,359,455 91,078,366 45,539,183 136,617,550 68,308,775 204,926,326 102,463,163 307,389,490 153,694,745 461,084,236 230,542,118 115,271,059 345,813,178 172,906,589 518,719,768 259,359,884 129,679,942 64,839,971 194,519,914 97,259,957 291,779,872 145,889,936 72,944,968 36,472,484 18,236,242 9,118,121 27,354,364 13,677,182 6,838,591 20,515,774 10,257,887 30,773,662 15,386,831 46,160,494 23,080,247 69,240,742 34,620,371 103,861,114 51,930,557 155,791,672 77,895,836 38,947,918 19,473,959 58,421,878 29,210,939 87,632,818 43,816,409 131,449,228 65,724,614 32,862,307 98,586,922 49,293,461 147,880,384 73,940,192 36,970,096 18,485,048 9,242,524

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