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18,593,440

25 × 5 × 79 × 1471
Abundant Even Composite

18,593,440 factors as 2^5 × 5 × 79 × 1471. Its 48 positive divisors give a proper-divisor sum of 25,919,840, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 79 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 44,513,280
Proper Divisor Sum 25,919,840
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18593429 ← → #18593447

Radix Representation

Decimal 18593440
Binary 1000110111011011010100000 (25 bits)
Octal 0o106733240
Hexadecimal 0x11BB6A0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1,264 1,471 1,580 2,528 2,942 3,160 5,884 6,320 7,355 11,768 12,640 14,710 23,536 29,420 47,072 58,840 116,209 117,680 232,418 235,360 464,836 581,045 929,672 1,162,090 1,859,344 2,324,180 3,718,688 4,648,360 9,296,720 18,593,440

Collatz Trajectory (58 steps to reach 1)

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

18,593,440 9,296,720 4,648,360 2,324,180 1,162,090 581,045 1,743,136 871,568 435,784 217,892 108,946 54,473 163,420 81,710 40,855 122,566 61,283 183,850 91,925 275,776 137,888 68,944 34,472 17,236 8,618 4,309 12,928 6,464 3,232 1,616 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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