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2,590,632

23 × 32 × 11 × 3271
Abundant Even Composite

2,590,632 factors as 2^3 × 3^2 × 11 × 3271. Its 48 positive divisors give a proper-divisor sum of 5,065,848, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 3271
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,656,480
Proper Divisor Sum 5,065,848
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2590597 ← → #2590633

Radix Representation

Decimal 2590632
Binary 1001111000011110101000 (22 bits)
Octal 0o11703650
Hexadecimal 0x2787A8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 3,271 6,542 9,813 13,084 19,626 26,168 29,439 35,981 39,252 58,878 71,962 78,504 107,943 117,756 143,924 215,886 235,512 287,848 323,829 431,772 647,658 863,544 1,295,316 2,590,632

Collatz Trajectory (81 steps to reach 1)

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

2,590,632 1,295,316 647,658 323,829 971,488 485,744 242,872 121,436 60,718 30,359 91,078 45,539 136,618 68,309 204,928 102,464 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

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