2³ × 3⁴ × 5² × 4447

Prime Factor Structure

Factorization String 2^3 × 3^4 × 5^2 × 4447

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 250,266,720

Proper Divisor Sum 178,225,320

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #72041399 ← → #72041413

Radix Representation

Decimal	72041400
Binary	100010010110100001110111000 (27 bits)
Octal	0o422641670
Hexadecimal	0x44B43B8

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1,080 1,350 1,620 1,800 2,025 2,700 3,240 4,050 4,447 5,400 8,100

Collatz Trajectory (197 steps to reach 1)

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

72,041,400 36,020,700 18,010,350 9,005,175 27,015,526 13,507,763 40,523,290 20,261,645 60,784,936 30,392,468 15,196,234 7,598,117 22,794,352 11,397,176 5,698,588 2,849,294 1,424,647 4,273,942 2,136,971 6,410,914 3,205,457 9,616,372 4,808,186 2,404,093 7,212,280 3,606,140 1,803,070 901,535 2,704,606 1,352,303 4,056,910 2,028,455 6,085,366 3,042,683 9,128,050 4,564,025 13,692,076 6,846,038 3,423,019 10,269,058 5,134,529 15,403,588 7,701,794 3,850,897 11,552,692 5,776,346 2,888,173 8,664,520 4,332,260 2,166,130 1,083,065 3,249,196 1,624,598 812,299 2,436,898 1,218,449 3,655,348 1,827,674 913,837 2,741,512

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 #72,041,399 Browse Full Index Next Integer #72,041,401 →