λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,312,155
10,312,155
32 × 5 × 7 × 19 × 1723
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 19 × 1723
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,515,520
Proper Divisor Sum 11,203,365
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10312147 ← → #10312177

Radix Representation

Decimal 10312155
Binary 100111010101100111011011 (24 bits)
Octal 0o47254733
Hexadecimal 0x9D59DB

Divisor Catalog (48)

1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1,197 1,723 1,995 5,169 5,985 8,615 12,061 15,507 25,845 32,737 36,183 60,305 77,535 98,211 108,549 163,685 180,915 229,159 294,633 491,055 542,745 687,477 1,145,795 1,473,165 2,062,431 3,437,385 10,312,155

Collatz Trajectory (251 steps to reach 1)

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

10,312,155 30,936,466 15,468,233 46,404,700 23,202,350 11,601,175 34,803,526 17,401,763 52,205,290 26,102,645 78,307,936 39,153,968 19,576,984 9,788,492 4,894,246 2,447,123 7,341,370 3,670,685 11,012,056 5,506,028 2,753,014 1,376,507 4,129,522 2,064,761 6,194,284 3,097,142 1,548,571 4,645,714 2,322,857 6,968,572 3,484,286 1,742,143 5,226,430 2,613,215 7,839,646 3,919,823 11,759,470 5,879,735 17,639,206 8,819,603 26,458,810 13,229,405 39,688,216 19,844,108 9,922,054 4,961,027 14,883,082 7,441,541 22,324,624 11,162,312 5,581,156 2,790,578 1,395,289 4,185,868 2,092,934 1,046,467 3,139,402 1,569,701 4,709,104 2,354,552

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
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