λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,947,482
29,947,482
2 × 34 × 401 × 461
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 401 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 67,417,812
Proper Divisor Sum 37,470,330
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #29947471 ← → #29947483

Radix Representation

Decimal 29947482
Binary 1110010001111011001011010 (25 bits)
Octal 0o162173132
Hexadecimal 0x1C8F65A

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 162 401 461 802 922 1,203 1,383 2,406 2,766 3,609 4,149 7,218 8,298 10,827 12,447 21,654 24,894 32,481 37,341 64,962 74,682 184,861 369,722 554,583 1,109,166 1,663,749 3,327,498 4,991,247 9,982,494 14,973,741 29,947,482

Collatz Trajectory (281 steps to reach 1)

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

29,947,482 14,973,741 44,921,224 22,460,612 11,230,306 5,615,153 16,845,460 8,422,730 4,211,365 12,634,096 6,317,048 3,158,524 1,579,262 789,631 2,368,894 1,184,447 3,553,342 1,776,671 5,330,014 2,665,007 7,995,022 3,997,511 11,992,534 5,996,267 17,988,802 8,994,401 26,983,204 13,491,602 6,745,801 20,237,404 10,118,702 5,059,351 15,178,054 7,589,027 22,767,082 11,383,541 34,150,624 17,075,312 8,537,656 4,268,828 2,134,414 1,067,207 3,201,622 1,600,811 4,802,434 2,401,217 7,203,652 3,601,826 1,800,913 5,402,740 2,701,370 1,350,685 4,052,056 2,026,028 1,013,014 506,507 1,519,522 759,761 2,279,284 1,139,642

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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