2,008,397

17 × 31 × 37 × 103

2,008,397 factors as 17 × 31 × 37 × 103. Its 16 positive divisors give a proper-divisor sum of 267,955, so this integer is deficient. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 17 × 31 × 37 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,276,352

Proper Divisor Sum 267,955

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2008393 ← → #2008403

Radix Representation

Decimal	2008397
Binary	111101010010101001101 (21 bits)
Octal	0o7522515
Hexadecimal	0x1EA54D

Divisor Catalog (16)

1 17 31 37 103 527 629 1,147 1,751 3,193 3,811 19,499 54,281 64,787 118,141 2,008,397

Collatz Trajectory (140 steps to reach 1)

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

2,008,397 6,025,192 3,012,596 1,506,298 753,149 2,259,448 1,129,724 564,862 282,431 847,294 423,647 1,270,942 635,471 1,906,414 953,207 2,859,622 1,429,811 4,289,434 2,144,717 6,434,152 3,217,076 1,608,538 804,269 2,412,808 1,206,404 603,202 301,601 904,804 452,402 226,201 678,604 339,302 169,651 508,954 254,477 763,432 381,716 190,858 95,429 286,288 143,144 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743

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