2² × 3⁵ × 7 × 13 × 31

Prime Factor Structure

Factorization String 2^2 × 3^5 × 7 × 13 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 9,132,032

Proper Divisor Sum 6,390,020

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2742007 ← → #2742013

Radix Representation

Decimal	2742012
Binary	1010011101011011111100 (22 bits)
Octal	0o12353374
Hexadecimal	0x29D6FC

Divisor Catalog (60 of 144)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 52 54 62 63 78 81 84 91 93 108 117 124 126 156 162 182 186 189 217 234 243 252 273 279 324 351 364 372 378 403 434 468 486 546 558 567 651 702 756 806 819

Collatz Trajectory (231 steps to reach 1)

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

2,742,012 1,371,006 685,503 2,056,510 1,028,255 3,084,766 1,542,383 4,627,150 2,313,575 6,940,726 3,470,363 10,411,090 5,205,545 15,616,636 7,808,318 3,904,159 11,712,478 5,856,239 17,568,718 8,784,359 26,353,078 13,176,539 39,529,618 19,764,809 59,294,428 29,647,214 14,823,607 44,470,822 22,235,411 66,706,234 33,353,117 100,059,352 50,029,676 25,014,838 12,507,419 37,522,258 18,761,129 56,283,388 28,141,694 14,070,847 42,212,542 21,106,271 63,318,814 31,659,407 94,978,222 47,489,111 142,467,334 71,233,667 213,701,002 106,850,501 320,551,504 160,275,752 80,137,876 40,068,938 20,034,469 60,103,408 30,051,704 15,025,852 7,512,926 3,756,463

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 #2,742,011 Browse Full Index Next Integer #2,742,013 →