831,165

3 × 5 × 55411

831,165 is odd and not a perfect square. Its factorization is 3 × 5 × 55411 and its 8 divisors sum to 1,329,888.

Prime Factor Structure

Factorization String 3 × 5 × 55411

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,329,888

Proper Divisor Sum 498,723

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #831163 ← → #831167

Radix Representation

Decimal	831165
Binary	11001010111010111101 (20 bits)
Octal	0o3127275
Hexadecimal	0xCAEBD

Divisor Catalog (8)

1 3 5 15 55,411 166,233 277,055 831,165

Collatz Trajectory (175 steps to reach 1)

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

831,165 2,493,496 1,246,748 623,374 311,687 935,062 467,531 1,402,594 701,297 2,103,892 1,051,946 525,973 1,577,920 788,960 394,480 197,240 98,620 49,310 24,655 73,966 36,983 110,950 55,475 166,426 83,213 249,640 124,820 62,410 31,205 93,616 46,808 23,404 11,702 5,851 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880

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