λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,972,575
12,972,575
52 × 7 × 11 × 23 × 293
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 11 × 23 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,998,656
Proper Divisor Sum 8,026,081
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #12972571 ← → #12972577

Radix Representation

Decimal 12972575
Binary 110001011111001000011111 (24 bits)
Octal 0o61371037
Hexadecimal 0xC5F21F

Divisor Catalog (48)

1 5 7 11 23 25 35 55 77 115 161 175 253 275 293 385 575 805 1,265 1,465 1,771 1,925 2,051 3,223 4,025 6,325 6,739 7,325 8,855 10,255 16,115 22,561 33,695 44,275 47,173 51,275 74,129 80,575 112,805 168,475 235,865 370,645 518,903 564,025 1,179,325 1,853,225 2,594,515 12,972,575

Collatz Trajectory (210 steps to reach 1)

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

12,972,575 38,917,726 19,458,863 58,376,590 29,188,295 87,564,886 43,782,443 131,347,330 65,673,665 197,020,996 98,510,498 49,255,249 147,765,748 73,882,874 36,941,437 110,824,312 55,412,156 27,706,078 13,853,039 41,559,118 20,779,559 62,338,678 31,169,339 93,508,018 46,754,009 140,262,028 70,131,014 35,065,507 105,196,522 52,598,261 157,794,784 78,897,392 39,448,696 19,724,348 9,862,174 4,931,087 14,793,262 7,396,631 22,189,894 11,094,947 33,284,842 16,642,421 49,927,264 24,963,632 12,481,816 6,240,908 3,120,454 1,560,227 4,680,682 2,340,341 7,021,024 3,510,512 1,755,256 877,628 438,814 219,407 658,222 329,111 987,334 493,667

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
← Previous Integer #12,972,574 Browse Full Index Next Integer #12,972,576 →