86,779

7³ × 11 × 23

86,779 factors as 7^3 × 11 × 23. Its 16 positive divisors give a proper-divisor sum of 28,421, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 7^3 × 11 × 23

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 115,200

Proper Divisor Sum 28,421

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #86771 ← → #86783

Radix Representation

Decimal	86779
Binary	10101001011111011 (17 bits)
Octal	0o251373
Hexadecimal	0x152FB

Divisor Catalog (16)

1 7 11 23 49 77 161 253 343 539 1,127 1,771 3,773 7,889 12,397 86,779

Collatz Trajectory (133 steps to reach 1)

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

86,779 260,338 130,169 390,508 195,254 97,627 292,882 146,441 439,324 219,662 109,831 329,494 164,747 494,242 247,121 741,364 370,682 185,341 556,024 278,012 139,006 69,503 208,510 104,255 312,766 156,383 469,150 234,575 703,726 351,863 1,055,590 527,795 1,583,386 791,693 2,375,080 1,187,540 593,770 296,885 890,656 445,328 222,664 111,332 55,666 27,833 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817

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