829,969

7 × 139 × 853

829,969 factors as 7 × 139 × 853. Its 8 positive divisors give a proper-divisor sum of 126,511, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 7 × 139 × 853

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 956,480

Proper Divisor Sum 126,511

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #829967 ← → #829979

Radix Representation

Decimal	829969
Binary	11001010101000010001 (20 bits)
Octal	0o3125021
Hexadecimal	0xCAA11

Divisor Catalog (8)

1 7 139 853 973 5,971 118,567 829,969

Collatz Trajectory (175 steps to reach 1)

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

829,969 2,489,908 1,244,954 622,477 1,867,432 933,716 466,858 233,429 700,288 350,144 175,072 87,536 43,768 21,884 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881

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