779,079

3 × 7 × 23 × 1613

779,079 factors as 3 × 7 × 23 × 1613. Its 16 positive divisors give a proper-divisor sum of 460,473, so this integer is deficient. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 1613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,239,552

Proper Divisor Sum 460,473

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #779069 ← → #779081

Radix Representation

Decimal	779079
Binary	10111110001101000111 (20 bits)
Octal	0o2761507
Hexadecimal	0xBE347

Divisor Catalog (16)

1 3 7 21 23 69 161 483 1,613 4,839 11,291 33,873 37,099 111,297 259,693 779,079

Collatz Trajectory (330 steps to reach 1)

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

779,079 2,337,238 1,168,619 3,505,858 1,752,929 5,258,788 2,629,394 1,314,697 3,944,092 1,972,046 986,023 2,958,070 1,479,035 4,437,106 2,218,553 6,655,660 3,327,830 1,663,915 4,991,746 2,495,873 7,487,620 3,743,810 1,871,905 5,615,716 2,807,858 1,403,929 4,211,788 2,105,894 1,052,947 3,158,842 1,579,421 4,738,264 2,369,132 1,184,566 592,283 1,776,850 888,425 2,665,276 1,332,638 666,319 1,998,958 999,479 2,998,438 1,499,219 4,497,658 2,248,829 6,746,488 3,373,244 1,686,622 843,311 2,529,934 1,264,967 3,794,902 1,897,451 5,692,354 2,846,177 8,538,532 4,269,266 2,134,633 6,403,900

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