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Ratio Atlas
Atlas › Integer Profiles › Node 37,107
37,107
32 × 7 × 19 × 31
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 31
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 66,560
Proper Divisor Sum 29,453
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #37097 ← → #37117

Radix Representation

Decimal 37107
Binary 1001000011110011 (16 bits)
Octal 0o110363
Hexadecimal 0x90F3

Divisor Catalog (24)

1 3 7 9 19 21 31 57 63 93 133 171 217 279 399 589 651 1,197 1,767 1,953 4,123 5,301 12,369 37,107

Collatz Trajectory (62 steps to reach 1)

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

37,107 111,322 55,661 166,984 83,492 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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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