2³ × 3 × 7² × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 109,440

Proper Divisor Sum 72,984

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #36451 ← → #36457

Radix Representation

Decimal	36456
Binary	1000111001101000 (16 bits)
Octal	0o107150
Hexadecimal	0x8E68

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 372 392 434 588 651 744 868 1,176 1,302 1,519 1,736 2,604 3,038 4,557 5,208 6,076 9,114 12,152 18,228 36,456

Collatz Trajectory (62 steps to reach 1)

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

36,456 18,228 9,114 4,557 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #36,455 Browse Full Index Next Integer #36,457 →