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Ratio Atlas
Atlas › Integer Profiles › Node 36,928,359
36,928,359
33 × 132 × 8093
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 13^2 × 8093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 59,248,080
Proper Divisor Sum 22,319,721
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36928349 ← → #36928373

Radix Representation

Decimal 36928359
Binary 10001100110111101101100111 (26 bits)
Octal 0o214675547
Hexadecimal 0x2337B67

Divisor Catalog (24)

1 3 9 13 27 39 117 169 351 507 1,521 4,563 8,093 24,279 72,837 105,209 218,511 315,627 946,881 1,367,717 2,840,643 4,103,151 12,309,453 36,928,359

Collatz Trajectory (165 steps to reach 1)

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

36,928,359 110,785,078 55,392,539 166,177,618 83,088,809 249,266,428 124,633,214 62,316,607 186,949,822 93,474,911 280,424,734 140,212,367 420,637,102 210,318,551 630,955,654 315,477,827 946,433,482 473,216,741 1,419,650,224 709,825,112 354,912,556 177,456,278 88,728,139 266,184,418 133,092,209 399,276,628 199,638,314 99,819,157 299,457,472 149,728,736 74,864,368 37,432,184 18,716,092 9,358,046 4,679,023 14,037,070 7,018,535 21,055,606 10,527,803 31,583,410 15,791,705 47,375,116 23,687,558 11,843,779 35,531,338 17,765,669 53,297,008 26,648,504 13,324,252 6,662,126 3,331,063 9,993,190 4,996,595 14,989,786 7,494,893 22,484,680 11,242,340 5,621,170 2,810,585 8,431,756

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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