λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,969,079
29,969,079
3 × 7 × 17 × 127 × 661
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 127 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,807,936
Proper Divisor Sum 18,838,857
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #29969063 ← → #29969083

Radix Representation

Decimal 29969079
Binary 1110010010100101010110111 (25 bits)
Octal 0o162245267
Hexadecimal 0x1C94AB7

Divisor Catalog (32)

1 3 7 17 21 51 119 127 357 381 661 889 1,983 2,159 2,667 4,627 6,477 11,237 13,881 15,113 33,711 45,339 78,659 83,947 235,977 251,841 587,629 1,427,099 1,762,887 4,281,297 9,989,693 29,969,079

Collatz Trajectory (162 steps to reach 1)

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

29,969,079 89,907,238 44,953,619 134,860,858 67,430,429 202,291,288 101,145,644 50,572,822 25,286,411 75,859,234 37,929,617 113,788,852 56,894,426 28,447,213 85,341,640 42,670,820 21,335,410 10,667,705 32,003,116 16,001,558 8,000,779 24,002,338 12,001,169 36,003,508 18,001,754 9,000,877 27,002,632 13,501,316 6,750,658 3,375,329 10,125,988 5,062,994 2,531,497 7,594,492 3,797,246 1,898,623 5,695,870 2,847,935 8,543,806 4,271,903 12,815,710 6,407,855 19,223,566 9,611,783 28,835,350 14,417,675 43,253,026 21,626,513 64,879,540 32,439,770 16,219,885 48,659,656 24,329,828 12,164,914 6,082,457 18,247,372 9,123,686 4,561,843 13,685,530 6,842,765

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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