λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,802,003
29,802,003
3 × 7 × 11 × 17 × 7589
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 17 × 7589
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 52,462,080
Proper Divisor Sum 22,660,077
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #29801971 ← → #29802011

Radix Representation

Decimal 29802003
Binary 1110001101011111000010011 (25 bits)
Octal 0o161537023
Hexadecimal 0x1C6BE13

Divisor Catalog (32)

1 3 7 11 17 21 33 51 77 119 187 231 357 561 1,309 3,927 7,589 22,767 53,123 83,479 129,013 159,369 250,437 387,039 584,353 903,091 1,419,143 1,753,059 2,709,273 4,257,429 9,934,001 29,802,003

Collatz Trajectory (250 steps to reach 1)

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

29,802,003 89,406,010 44,703,005 134,109,016 67,054,508 33,527,254 16,763,627 50,290,882 25,145,441 75,436,324 37,718,162 18,859,081 56,577,244 28,288,622 14,144,311 42,432,934 21,216,467 63,649,402 31,824,701 95,474,104 47,737,052 23,868,526 11,934,263 35,802,790 17,901,395 53,704,186 26,852,093 80,556,280 40,278,140 20,139,070 10,069,535 30,208,606 15,104,303 45,312,910 22,656,455 67,969,366 33,984,683 101,954,050 50,977,025 152,931,076 76,465,538 38,232,769 114,698,308 57,349,154 28,674,577 86,023,732 43,011,866 21,505,933 64,517,800 32,258,900 16,129,450 8,064,725 24,194,176 12,097,088 6,048,544 3,024,272 1,512,136 756,068 378,034 189,017

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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