λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,190,845
21,190,845
3 × 5 × 13 × 271 × 401
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 271 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,739,584
Proper Divisor Sum 15,548,739
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21190837 ← → #21190847

Radix Representation

Decimal 21190845
Binary 1010000110101100010111101 (25 bits)
Octal 0o120654275
Hexadecimal 0x14358BD

Divisor Catalog (32)

1 3 5 13 15 39 65 195 271 401 813 1,203 1,355 2,005 3,523 4,065 5,213 6,015 10,569 15,639 17,615 26,065 52,845 78,195 108,671 326,013 543,355 1,412,723 1,630,065 4,238,169 7,063,615 21,190,845

Collatz Trajectory (190 steps to reach 1)

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

21,190,845 63,572,536 31,786,268 15,893,134 7,946,567 23,839,702 11,919,851 35,759,554 17,879,777 53,639,332 26,819,666 13,409,833 40,229,500 20,114,750 10,057,375 30,172,126 15,086,063 45,258,190 22,629,095 67,887,286 33,943,643 101,830,930 50,915,465 152,746,396 76,373,198 38,186,599 114,559,798 57,279,899 171,839,698 85,919,849 257,759,548 128,879,774 64,439,887 193,319,662 96,659,831 289,979,494 144,989,747 434,969,242 217,484,621 652,453,864 326,226,932 163,113,466 81,556,733 244,670,200 122,335,100 61,167,550 30,583,775 91,751,326 45,875,663 137,626,990 68,813,495 206,440,486 103,220,243 309,660,730 154,830,365 464,491,096 232,245,548 116,122,774 58,061,387 174,184,162

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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