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17,838,464

27 × 7 × 43 × 463
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 43 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 41,648,640
Proper Divisor Sum 23,810,176
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #17838463 ← → #17838487

Radix Representation

Decimal 17838464
Binary 1000100000011000110000000 (25 bits)
Octal 0o104030600
Hexadecimal 0x1103180

Divisor Catalog (60 of 64)

1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 463 602 688 896 926 1,204 1,376 1,852 2,408 2,752 3,241 3,704 4,816 5,504 6,482 7,408 9,632 12,964 14,816 19,264 19,909 25,928 29,632 38,528 39,818 51,856 59,264 79,636 103,712 139,363 159,272 207,424 278,726 318,544 414,848 557,452 637,088 1,114,904 1,274,176 2,229,808

Collatz Trajectory (63 steps to reach 1)

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

17,838,464 8,919,232 4,459,616 2,229,808 1,114,904 557,452 278,726 139,363 418,090 209,045 627,136 313,568 156,784 78,392 39,196 19,598 9,799 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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