2⁴ × 3 × 7 × 13 × 17

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 249,984

Proper Divisor Sum 175,728

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #74231 ← → #74257

Radix Representation

Decimal	74256
Binary	10010001000010000 (17 bits)
Octal	0o221020
Hexadecimal	0x12210

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1,092 1,326 1,428 1,456

Collatz Trajectory (63 steps to reach 1)

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

74,256 37,128 18,564 9,282 4,641 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #74,255 Browse Full Index Next Integer #74,257 →