λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,072,008
10,072,008
23 × 32 × 59 × 2371
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 59 × 2371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,752,400
Proper Divisor Sum 17,680,392
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10072001 ← → #10072009

Radix Representation

Decimal 10072008
Binary 100110011010111111001000 (24 bits)
Octal 0o46327710
Hexadecimal 0x99AFC8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1,062 1,416 2,124 2,371 4,248 4,742 7,113 9,484 14,226 18,968 21,339 28,452 42,678 56,904 85,356 139,889 170,712 279,778 419,667 559,556 839,334 1,119,112 1,259,001 1,678,668 2,518,002 3,357,336 5,036,004 10,072,008

Collatz Trajectory (158 steps to reach 1)

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

10,072,008 5,036,004 2,518,002 1,259,001 3,777,004 1,888,502 944,251 2,832,754 1,416,377 4,249,132 2,124,566 1,062,283 3,186,850 1,593,425 4,780,276 2,390,138 1,195,069 3,585,208 1,792,604 896,302 448,151 1,344,454 672,227 2,016,682 1,008,341 3,025,024 1,512,512 756,256 378,128 189,064 94,532 47,266 23,633 70,900 35,450 17,725 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651

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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