879,780

2² × 3 × 5 × 11 × 31 × 43

879,780 factors as 2^2 × 3 × 5 × 11 × 31 × 43. Its 96 positive divisors give a proper-divisor sum of 1,958,748, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 31 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,838,528

Proper Divisor Sum 1,958,748

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #879743 ← → #879797

Radix Representation

Decimal	879780
Binary	11010110110010100100 (20 bits)
Octal	0o3266244
Hexadecimal	0xD6CA4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 43 44 55 60 62 66 86 93 110 124 129 132 155 165 172 186 215 220 258 310 330 341 372 430 465 473 516 620 645 660 682 860 930 946 1,023 1,290 1,333 1,364 1,419 1,705 1,860 1,892 2,046 2,365 2,580

Collatz Trajectory (126 steps to reach 1)

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

879,780 439,890 219,945 659,836 329,918 164,959 494,878 247,439 742,318 371,159 1,113,478 556,739 1,670,218 835,109 2,505,328 1,252,664 626,332 313,166 156,583 469,750 234,875 704,626 352,313 1,056,940 528,470 264,235 792,706 396,353 1,189,060 594,530 297,265 891,796 445,898 222,949 668,848 334,424 167,212 83,606 41,803 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582

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