875,277

3² × 13 × 7481

875,277 factors as 3^2 × 13 × 7481. Its 12 positive divisors give a proper-divisor sum of 486,447, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 7481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,361,724

Proper Divisor Sum 486,447

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #875269 ← → #875297

Radix Representation

Decimal	875277
Binary	11010101101100001101 (20 bits)
Octal	0o3255415
Hexadecimal	0xD5B0D

Divisor Catalog (12)

1 3 9 13 39 117 7,481 22,443 67,329 97,253 291,759 875,277

Collatz Trajectory (188 steps to reach 1)

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

875,277 2,625,832 1,312,916 656,458 328,229 984,688 492,344 246,172 123,086 61,543 184,630 92,315 276,946 138,473 415,420 207,710 103,855 311,566 155,783 467,350 233,675 701,026 350,513 1,051,540 525,770 262,885 788,656 394,328 197,164 98,582 49,291 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395 70,186 35,093 105,280 52,640 26,320 13,160 6,580 3,290 1,645 4,936 2,468 1,234 617 1,852 926

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