λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,469,415
12,469,415
5 × 7 × 17 × 19 × 1103
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 17 × 19 × 1103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,077,120
Proper Divisor Sum 6,607,705
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #12469403 ← → #12469417

Radix Representation

Decimal 12469415
Binary 101111100100010010100111 (24 bits)
Octal 0o57442247
Hexadecimal 0xBE44A7

Divisor Catalog (32)

1 5 7 17 19 35 85 95 119 133 323 595 665 1,103 1,615 2,261 5,515 7,721 11,305 18,751 20,957 38,605 93,755 104,785 131,257 146,699 356,269 656,285 733,495 1,781,345 2,493,883 12,469,415

Collatz Trajectory (184 steps to reach 1)

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

12,469,415 37,408,246 18,704,123 56,112,370 28,056,185 84,168,556 42,084,278 21,042,139 63,126,418 31,563,209 94,689,628 47,344,814 23,672,407 71,017,222 35,508,611 106,525,834 53,262,917 159,788,752 79,894,376 39,947,188 19,973,594 9,986,797 29,960,392 14,980,196 7,490,098 3,745,049 11,235,148 5,617,574 2,808,787 8,426,362 4,213,181 12,639,544 6,319,772 3,159,886 1,579,943 4,739,830 2,369,915 7,109,746 3,554,873 10,664,620 5,332,310 2,666,155 7,998,466 3,999,233 11,997,700 5,998,850 2,999,425 8,998,276 4,499,138 2,249,569 6,748,708 3,374,354 1,687,177 5,061,532 2,530,766 1,265,383 3,796,150 1,898,075 5,694,226 2,847,113

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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