812,959

7² × 47 × 353

812,959 factors as 7^2 × 47 × 353. Its 12 positive divisors give a proper-divisor sum of 155,585, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 7^2 × 47 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 968,544

Proper Divisor Sum 155,585

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #812939 ← → #812963

Radix Representation

Decimal	812959
Binary	11000110011110011111 (20 bits)
Octal	0o3063637
Hexadecimal	0xC679F

Divisor Catalog (12)

1 7 47 49 329 353 2,303 2,471 16,591 17,297 116,137 812,959

Collatz Trajectory (144 steps to reach 1)

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

812,959 2,438,878 1,219,439 3,658,318 1,829,159 5,487,478 2,743,739 8,231,218 4,115,609 12,346,828 6,173,414 3,086,707 9,260,122 4,630,061 13,890,184 6,945,092 3,472,546 1,736,273 5,208,820 2,604,410 1,302,205 3,906,616 1,953,308 976,654 488,327 1,464,982 732,491 2,197,474 1,098,737 3,296,212 1,648,106 824,053 2,472,160 1,236,080 618,040 309,020 154,510 77,255 231,766 115,883 347,650 173,825 521,476 260,738 130,369 391,108 195,554 97,777 293,332 146,666 73,333 220,000 110,000 55,000 27,500 13,750 6,875 20,626 10,313 30,940

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