2⁴ × 3³ × 17 × 31

Prime Factor Structure

Factorization String 2^4 × 3^3 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 714,240

Proper Divisor Sum 486,576

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #227663 ← → #227671

Radix Representation

Decimal	227664
Binary	110111100101010000 (18 bits)
Octal	0o674520
Hexadecimal	0x37950

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 372 408 432 459 496 527 558 612 744 816 837 918 1,054 1,116 1,224 1,488 1,581 1,674 1,836 2,108 2,232 2,448 3,162 3,348

Collatz Trajectory (155 steps to reach 1)

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

227,664 113,832 56,916 28,458 14,229 42,688 21,344 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #227,663 Browse Full Index Next Integer #227,665 →