1,815,005

5 × 17 × 131 × 163

1,815,005 factors as 5 × 17 × 131 × 163. Its 16 positive divisors give a proper-divisor sum of 522,979, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 5 × 17 × 131 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,337,984

Proper Divisor Sum 522,979

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1815001 ← → #1815007

Radix Representation

Decimal	1815005
Binary	110111011000111011101 (21 bits)
Octal	0o6730735
Hexadecimal	0x1BB1DD

Divisor Catalog (16)

1 5 17 85 131 163 655 815 2,227 2,771 11,135 13,855 21,353 106,765 363,001 1,815,005

Collatz Trajectory (70 steps to reach 1)

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

1,815,005 5,445,016 2,722,508 1,361,254 680,627 2,041,882 1,020,941 3,062,824 1,531,412 765,706 382,853 1,148,560 574,280 287,140 143,570 71,785 215,356 107,678 53,839 161,518 80,759 242,278 121,139 363,418 181,709 545,128 272,564 136,282 68,141 204,424 102,212 51,106 25,553 76,660 38,330 19,165 57,496 28,748 14,374 7,187 21,562 10,781 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320

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