Integer 727,265 Profile | Ratio Atlas

727,265

5 × 7 × 11 × 1889

Prime Factor Structure

Factorization String 5 × 7 × 11 × 1889

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,088,640

Proper Divisor Sum 361,375

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #727261 ← → #727267

Radix Representation

Decimal	727265
Binary	10110001100011100001 (20 bits)
Octal	0o2614341
Hexadecimal	0xB18E1

Divisor Catalog (16)

1 5 7 11 35 55 77 385 1,889 9,445 13,223 20,779 66,115 103,895 145,453 727,265

Collatz Trajectory (273 steps to reach 1)

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

727,265 2,181,796 1,090,898 545,449 1,636,348 818,174 409,087 1,227,262 613,631 1,840,894 920,447 2,761,342 1,380,671 4,142,014 2,071,007 6,213,022 3,106,511 9,319,534 4,659,767 13,979,302 6,989,651 20,968,954 10,484,477 31,453,432 15,726,716 7,863,358 3,931,679 11,795,038 5,897,519 17,692,558 8,846,279 26,538,838 13,269,419 39,808,258 19,904,129 59,712,388 29,856,194 14,928,097 44,784,292 22,392,146 11,196,073 33,588,220 16,794,110 8,397,055 25,191,166 12,595,583 37,786,750 18,893,375 56,680,126 28,340,063 85,020,190 42,510,095 127,530,286 63,765,143 191,295,430 95,647,715 286,943,146 143,471,573 430,414,720 215,207,360

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

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