17,513,398

2 × 7 × 67 × 18671

17,513,398 factors as 2 × 7 × 67 × 18671. Its 16 positive divisors give a proper-divisor sum of 12,959,306, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2 × 7 × 67 × 18671

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 30,472,704

Proper Divisor Sum 12,959,306

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17513381 ← → #17513401

Radix Representation

Decimal	17513398
Binary	1000010110011101110110110 (25 bits)
Octal	0o102635666
Hexadecimal	0x10B3BB6

Divisor Catalog (16)

1 2 7 14 67 134 469 938 18,671 37,342 130,697 261,394 1,250,957 2,501,914 8,756,699 17,513,398

Collatz Trajectory (169 steps to reach 1)

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

17,513,398 8,756,699 26,270,098 13,135,049 39,405,148 19,702,574 9,851,287 29,553,862 14,776,931 44,330,794 22,165,397 66,496,192 33,248,096 16,624,048 8,312,024 4,156,012 2,078,006 1,039,003 3,117,010 1,558,505 4,675,516 2,337,758 1,168,879 3,506,638 1,753,319 5,259,958 2,629,979 7,889,938 3,944,969 11,834,908 5,917,454 2,958,727 8,876,182 4,438,091 13,314,274 6,657,137 19,971,412 9,985,706 4,992,853 14,978,560 7,489,280 3,744,640 1,872,320 936,160 468,080 234,040 117,020 58,510 29,255 87,766 43,883 131,650 65,825 197,476 98,738 49,369 148,108 74,054 37,027 111,082

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