2⁵ × 3⁵ × 29

Prime Factor Structure

Factorization String 2^5 × 3^5 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 687,960

Proper Divisor Sum 462,456

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #225503 ← → #225509

Radix Representation

Decimal	225504
Binary	110111000011100000 (18 bits)
Octal	0o670340
Hexadecimal	0x370E0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1,044 1,296 1,392 1,566 1,944 2,088 2,349 2,592 2,784 3,132 3,888 4,176 4,698 6,264 7,047 7,776

Collatz Trajectory (111 steps to reach 1)

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

225,504 112,752 56,376 28,188 14,094 7,047 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

← Previous Integer #225,503 Browse Full Index Next Integer #225,505 →