1,138,371

3 × 13 × 17² × 101

1,138,371 factors as 3 × 13 × 17^2 × 101. Its 24 positive divisors give a proper-divisor sum of 615,213, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,753,584

Proper Divisor Sum 615,213

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1138369 ← → #1138391

Radix Representation

Decimal	1138371
Binary	100010101111011000011 (21 bits)
Octal	0o4257303
Hexadecimal	0x115EC3

Divisor Catalog (24)

Collatz Trajectory (178 steps to reach 1)

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

1,138,371 3,415,114 1,707,557 5,122,672 2,561,336 1,280,668 640,334 320,167 960,502 480,251 1,440,754 720,377 2,161,132 1,080,566 540,283 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729 2,735,188 1,367,594 683,797 2,051,392 1,025,696 512,848 256,424 128,212 64,106 32,053 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229

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