917,574

2 × 3 × 7² × 3121

917,574 factors as 2 × 3 × 7^2 × 3121. Its 24 positive divisors give a proper-divisor sum of 1,217,874, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 3121

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,135,448

Proper Divisor Sum 1,217,874

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #917573 ← → #917591

Radix Representation

Decimal	917574
Binary	11100000000001000110 (20 bits)
Octal	0o3400106
Hexadecimal	0xE0046

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 3,121 6,242 9,363 18,726 21,847 43,694 65,541 131,082 152,929 305,858 458,787 917,574

Collatz Trajectory (82 steps to reach 1)

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

917,574 458,787 1,376,362 688,181 2,064,544 1,032,272 516,136 258,068 129,034 64,517 193,552 96,776 48,388 24,194 12,097 36,292 18,146 9,073 27,220 13,610 6,805 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976

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