4,040,732

2² × 23 × 167 × 263

4,040,732 factors as 2^2 × 23 × 167 × 263. Its 24 positive divisors give a proper-divisor sum of 3,410,404, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 167 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,451,136

Proper Divisor Sum 3,410,404

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4040723 ← → #4040737

Radix Representation

Decimal	4040732
Binary	1111011010100000011100 (22 bits)
Octal	0o17324034
Hexadecimal	0x3DA81C

Divisor Catalog (24)

Collatz Trajectory (136 steps to reach 1)

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

4,040,732 2,020,366 1,010,183 3,030,550 1,515,275 4,545,826 2,272,913 6,818,740 3,409,370 1,704,685 5,114,056 2,557,028 1,278,514 639,257 1,917,772 958,886 479,443 1,438,330 719,165 2,157,496 1,078,748 539,374 269,687 809,062 404,531 1,213,594 606,797 1,820,392 910,196 455,098 227,549 682,648 341,324 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642

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