λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,543,775
29,543,775
3 × 52 × 31 × 97 × 131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 97 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 51,330,048
Proper Divisor Sum 21,786,273
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #29543749 ← → #29543783

Radix Representation

Decimal 29543775
Binary 1110000101100110101011111 (25 bits)
Octal 0o160546537
Hexadecimal 0x1C2CD5F

Divisor Catalog (48)

1 3 5 15 25 31 75 93 97 131 155 291 393 465 485 655 775 1,455 1,965 2,325 2,425 3,007 3,275 4,061 7,275 9,021 9,825 12,183 12,707 15,035 20,305 38,121 45,105 60,915 63,535 75,175 101,525 190,605 225,525 304,575 317,675 393,917 953,025 1,181,751 1,969,585 5,908,755 9,847,925 29,543,775

Collatz Trajectory (312 steps to reach 1)

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

29,543,775 88,631,326 44,315,663 132,946,990 66,473,495 199,420,486 99,710,243 299,130,730 149,565,365 448,696,096 224,348,048 112,174,024 56,087,012 28,043,506 14,021,753 42,065,260 21,032,630 10,516,315 31,548,946 15,774,473 47,323,420 23,661,710 11,830,855 35,492,566 17,746,283 53,238,850 26,619,425 79,858,276 39,929,138 19,964,569 59,893,708 29,946,854 14,973,427 44,920,282 22,460,141 67,380,424 33,690,212 16,845,106 8,422,553 25,267,660 12,633,830 6,316,915 18,950,746 9,475,373 28,426,120 14,213,060 7,106,530 3,553,265 10,659,796 5,329,898 2,664,949 7,994,848 3,997,424 1,998,712 999,356 499,678 249,839 749,518 374,759 1,124,278

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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