λ
Integer Codex

184,496

24 × 13 × 887
Abundant Even Composite

For 184,496, the 20 positive divisors have a total of 385,392. Removing 184,496 leaves 200,896, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 13 × 887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 385,392
Proper Divisor Sum 200,896
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #184489 ← → #184511

Radix Representation

Decimal 184496
Binary 101101000010110000 (18 bits)
Octal 0o550260
Hexadecimal 0x2D0B0

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 887 1,774 3,548 7,096 11,531 14,192 23,062 46,124 92,248 184,496

Collatz Trajectory (59 steps to reach 1)

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

184,496 92,248 46,124 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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