19,126

2 × 73 × 131

19,126 has digital root 1. The neighboring primes are 19121 and 19139; its proper-divisor sum differs from the starting integer by -8,948.

Prime Factor Structure

Factorization String 2 × 73 × 131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 29,304

Proper Divisor Sum 10,178

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #19121 ← → #19139

Radix Representation

Decimal	19126
Binary	100101010110110 (15 bits)
Octal	0o45266
Hexadecimal	0x4AB6

Divisor Catalog (8)

1 2 73 131 146 262 9,563 19,126

Collatz Trajectory (198 steps to reach 1)

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

19,126 9,563 28,690 14,345 43,036 21,518 10,759 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462

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