86,076

2² × 3³ × 797

86,076 factors as 2^2 × 3^3 × 797. Its 24 positive divisors give a proper-divisor sum of 137,364, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 223,440

Proper Divisor Sum 137,364

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #86069 ← → #86077

Radix Representation

Decimal	86076
Binary	10101000000111100 (17 bits)
Octal	0o250074
Hexadecimal	0x1503C

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 797 1,594 2,391 3,188 4,782 7,173 9,564 14,346 21,519 28,692 43,038 86,076

Collatz Trajectory (195 steps to reach 1)

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

86,076 43,038 21,519 64,558 32,279 96,838 48,419 145,258 72,629 217,888 108,944 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097

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