4,490,784

2⁵ × 3² × 31 × 503

4,490,784 factors as 2^5 × 3^2 × 31 × 503. Its 72 positive divisors give a proper-divisor sum of 8,718,048, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 31 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 13,208,832

Proper Divisor Sum 8,718,048

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4490779 ← → #4490831

Radix Representation

Decimal	4490784
Binary	10001001000011000100000 (23 bits)
Octal	0o21103040
Hexadecimal	0x448620

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 503 558 744 992 1,006 1,116 1,488 1,509 2,012 2,232 2,976 3,018 4,024 4,464 4,527 6,036 8,048 8,928 9,054 12,072 15,593 16,096 18,108 24,144 31,186 36,216 46,779 48,288 62,372 72,432 93,558 124,744 140,337

Collatz Trajectory (87 steps to reach 1)

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

4,490,784 2,245,392 1,122,696 561,348 280,674 140,337 421,012 210,506 105,253 315,760 157,880 78,940 39,470 19,735 59,206 29,603 88,810 44,405 133,216 66,608 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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