91,336

2³ × 7² × 233

91,336 has digital root 4. The neighboring primes are 91331 and 91367; its proper-divisor sum differs from the starting integer by 17,398.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 233

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 200,070

Proper Divisor Sum 108,734

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #91331 ← → #91367

Radix Representation

Decimal	91336
Binary	10110010011001000 (17 bits)
Octal	0o262310
Hexadecimal	0x164C8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1,631 1,864 3,262 6,524 11,417 13,048 22,834 45,668 91,336

Collatz Trajectory (133 steps to reach 1)

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

91,336 45,668 22,834 11,417 34,252 17,126 8,563 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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