λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,126,431
10,126,431
33 × 7 × 131 × 409
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 131 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,318,400
Proper Divisor Sum 7,191,969
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10126421 ← → #10126439

Radix Representation

Decimal 10126431
Binary 100110101000010001011111 (24 bits)
Octal 0o46502137
Hexadecimal 0x9A845F

Divisor Catalog (32)

1 3 7 9 21 27 63 131 189 393 409 917 1,179 1,227 2,751 2,863 3,537 3,681 8,253 8,589 11,043 24,759 25,767 53,579 77,301 160,737 375,053 482,211 1,125,159 1,446,633 3,375,477 10,126,431

Collatz Trajectory (251 steps to reach 1)

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

10,126,431 30,379,294 15,189,647 45,568,942 22,784,471 68,353,414 34,176,707 102,530,122 51,265,061 153,795,184 76,897,592 38,448,796 19,224,398 9,612,199 28,836,598 14,418,299 43,254,898 21,627,449 64,882,348 32,441,174 16,220,587 48,661,762 24,330,881 72,992,644 36,496,322 18,248,161 54,744,484 27,372,242 13,686,121 41,058,364 20,529,182 10,264,591 30,793,774 15,396,887 46,190,662 23,095,331 69,285,994 34,642,997 103,928,992 51,964,496 25,982,248 12,991,124 6,495,562 3,247,781 9,743,344 4,871,672 2,435,836 1,217,918 608,959 1,826,878 913,439 2,740,318 1,370,159 4,110,478 2,055,239 6,165,718 3,082,859 9,248,578 4,624,289 13,872,868

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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