917,815

5 × 23² × 347

917,815 factors as 5 × 23^2 × 347. Its 12 positive divisors give a proper-divisor sum of 236,849, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 5 × 23^2 × 347

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,154,664

Proper Divisor Sum 236,849

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #917809 ← → #917827

Radix Representation

Decimal	917815
Binary	11100000000100110111 (20 bits)
Octal	0o3400467
Hexadecimal	0xE0137

Divisor Catalog (12)

1 5 23 115 347 529 1,735 2,645 7,981 39,905 183,563 917,815

Collatz Trajectory (139 steps to reach 1)

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

917,815 2,753,446 1,376,723 4,130,170 2,065,085 6,195,256 3,097,628 1,548,814 774,407 2,323,222 1,161,611 3,484,834 1,742,417 5,227,252 2,613,626 1,306,813 3,920,440 1,960,220 980,110 490,055 1,470,166 735,083 2,205,250 1,102,625 3,307,876 1,653,938 826,969 2,480,908 1,240,454 620,227 1,860,682 930,341 2,791,024 1,395,512 697,756 348,878 174,439 523,318 261,659 784,978 392,489 1,177,468 588,734 294,367 883,102 441,551 1,324,654 662,327 1,986,982 993,491 2,980,474 1,490,237 4,470,712 2,235,356 1,117,678 558,839 1,676,518 838,259 2,514,778 1,257,389

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