916,447

7² × 59 × 317

916,447 factors as 7^2 × 59 × 317. Its 12 positive divisors give a proper-divisor sum of 171,113, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 7^2 × 59 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,087,560

Proper Divisor Sum 171,113

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #916441 ← → #916451

Radix Representation

Decimal	916447
Binary	11011111101111011111 (20 bits)
Octal	0o3375737
Hexadecimal	0xDFBDF

Divisor Catalog (12)

1 7 49 59 317 413 2,219 2,891 15,533 18,703 130,921 916,447

Collatz Trajectory (108 steps to reach 1)

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

916,447 2,749,342 1,374,671 4,124,014 2,062,007 6,186,022 3,093,011 9,279,034 4,639,517 13,918,552 6,959,276 3,479,638 1,739,819 5,219,458 2,609,729 7,829,188 3,914,594 1,957,297 5,871,892 2,935,946 1,467,973 4,403,920 2,201,960 1,100,980 550,490 275,245 825,736 412,868 206,434 103,217 309,652 154,826 77,413 232,240 116,120 58,060 29,030 14,515 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818

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