2² × 3 × 5² × 11 × 17 × 1291

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 17 × 1291

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 242,234,496

Proper Divisor Sum 169,809,396

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #72425081 ← → #72425123

Radix Representation

Decimal	72425100
Binary	100010100010001111010001100 (27 bits)
Octal	0o424217214
Hexadecimal	0x4511E8C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1,020 1,100 1,122 1,275 1,291 1,650 1,700 1,870 2,244

Collatz Trajectory (135 steps to reach 1)

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

72,425,100 36,212,550 18,106,275 54,318,826 27,159,413 81,478,240 40,739,120 20,369,560 10,184,780 5,092,390 2,546,195 7,638,586 3,819,293 11,457,880 5,728,940 2,864,470 1,432,235 4,296,706 2,148,353 6,445,060 3,222,530 1,611,265 4,833,796 2,416,898 1,208,449 3,625,348 1,812,674 906,337 2,719,012 1,359,506 679,753 2,039,260 1,019,630 509,815 1,529,446 764,723 2,294,170 1,147,085 3,441,256 1,720,628 860,314 430,157 1,290,472 645,236 322,618 161,309 483,928 241,964 120,982 60,491 181,474 90,737 272,212 136,106 68,053 204,160 102,080 51,040 25,520 12,760

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #72,425,099 Browse Full Index Next Integer #72,425,101 →