λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,459,010
15,459,010
2 × 5 × 73 × 4507
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7^3 × 4507
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,457,600
Proper Divisor Sum 16,998,590
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15458983 ← → #15459011

Radix Representation

Decimal 15459010
Binary 111010111110001011000010 (24 bits)
Octal 0o72761302
Hexadecimal 0xEBE2C2

Divisor Catalog (32)

1 2 5 7 10 14 35 49 70 98 245 343 490 686 1,715 3,430 4,507 9,014 22,535 31,549 45,070 63,098 157,745 220,843 315,490 441,686 1,104,215 1,545,901 2,208,430 3,091,802 7,729,505 15,459,010

Collatz Trajectory (187 steps to reach 1)

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

15,459,010 7,729,505 23,188,516 11,594,258 5,797,129 17,391,388 8,695,694 4,347,847 13,043,542 6,521,771 19,565,314 9,782,657 29,347,972 14,673,986 7,336,993 22,010,980 11,005,490 5,502,745 16,508,236 8,254,118 4,127,059 12,381,178 6,190,589 18,571,768 9,285,884 4,642,942 2,321,471 6,964,414 3,482,207 10,446,622 5,223,311 15,669,934 7,834,967 23,504,902 11,752,451 35,257,354 17,628,677 52,886,032 26,443,016 13,221,508 6,610,754 3,305,377 9,916,132 4,958,066 2,479,033 7,437,100 3,718,550 1,859,275 5,577,826 2,788,913 8,366,740 4,183,370 2,091,685 6,275,056 3,137,528 1,568,764 784,382 392,191 1,176,574 588,287

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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