2² × 3⁵ × 5² × 17

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,421,784

Proper Divisor Sum 1,008,684

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #413093 ← → #413111

Radix Representation

Decimal	413100
Binary	1100100110110101100 (19 bits)
Octal	0o1446654
Hexadecimal	0x64DAC

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 81 85 90 100 102 108 135 150 153 162 170 180 204 225 243 255 270 300 306 324 340 405 425 450 459 486 510 540 612 675 765 810 850 900 918

Collatz Trajectory (81 steps to reach 1)

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

413,100 206,550 103,275 309,826 154,913 464,740 232,370 116,185 348,556 174,278 87,139 261,418 130,709 392,128 196,064 98,032 49,016 24,508 12,254 6,127 18,382 9,191 27,574 13,787 41,362 20,681 62,044 31,022 15,511 46,534 23,267 69,802 34,901 104,704 52,352 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74

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 #413,099 Browse Full Index Next Integer #413,101 →