λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,312,140
10,312,140
22 × 3 × 5 × 171869
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 171869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 28,874,160
Proper Divisor Sum 18,562,020
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #10312123 ← → #10312147

Radix Representation

Decimal 10312140
Binary 100111010101100111001100 (24 bits)
Octal 0o47254714
Hexadecimal 0x9D59CC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 171,869 343,738 515,607 687,476 859,345 1,031,214 1,718,690 2,062,428 2,578,035 3,437,380 5,156,070 10,312,140

Collatz Trajectory (251 steps to reach 1)

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

10,312,140 5,156,070 2,578,035 7,734,106 3,867,053 11,601,160 5,800,580 2,900,290 1,450,145 4,350,436 2,175,218 1,087,609 3,262,828 1,631,414 815,707 2,447,122 1,223,561 3,670,684 1,835,342 917,671 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 #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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