786,597

3 × 7² × 5351

786,597 factors as 3 × 7^2 × 5351. Its 12 positive divisors give a proper-divisor sum of 433,659, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 5351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,220,256

Proper Divisor Sum 433,659

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #786589 ← → #786613

Radix Representation

Decimal	786597
Binary	11000000000010100101 (20 bits)
Octal	0o3000245
Hexadecimal	0xC00A5

Divisor Catalog (12)

1 3 7 21 49 147 5,351 16,053 37,457 112,371 262,199 786,597

Collatz Trajectory (100 steps to reach 1)

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

786,597 2,359,792 1,179,896 589,948 294,974 147,487 442,462 221,231 663,694 331,847 995,542 497,771 1,493,314 746,657 2,239,972 1,119,986 559,993 1,679,980 839,990 419,995 1,259,986 629,993 1,889,980 944,990 472,495 1,417,486 708,743 2,126,230 1,063,115 3,189,346 1,594,673 4,784,020 2,392,010 1,196,005 3,588,016 1,794,008 897,004 448,502 224,251 672,754 336,377 1,009,132 504,566 252,283 756,850 378,425 1,135,276 567,638 283,819 851,458 425,729 1,277,188 638,594 319,297 957,892 478,946 239,473 718,420 359,210 179,605

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