18,791

19 × 23 × 43

18,791 has digital root 8. The neighboring primes are 18787 and 18793; its proper-divisor sum differs from the starting integer by -16,462.

Prime Factor Structure

Factorization String 19 × 23 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 21,120

Proper Divisor Sum 2,329

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #18787 ← → #18793

Radix Representation

Decimal	18791
Binary	100100101100111 (15 bits)
Octal	0o44547
Hexadecimal	0x4967

Divisor Catalog (8)

1 19 23 43 437 817 989 18,791

Collatz Trajectory (229 steps to reach 1)

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

18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756

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