λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,074,620
10,074,620
22 × 5 × 353 × 1427
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 353 × 1427
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,231,504
Proper Divisor Sum 11,156,884
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #10074613 ← → #10074653

Radix Representation

Decimal 10074620
Binary 100110011011100111111100 (24 bits)
Octal 0o46334774
Hexadecimal 0x99B9FC

Divisor Catalog (24)

1 2 4 5 10 20 353 706 1,412 1,427 1,765 2,854 3,530 5,708 7,060 7,135 14,270 28,540 503,731 1,007,462 2,014,924 2,518,655 5,037,310 10,074,620

Collatz Trajectory (145 steps to reach 1)

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

10,074,620 5,037,310 2,518,655 7,555,966 3,777,983 11,333,950 5,666,975 17,000,926 8,500,463 25,501,390 12,750,695 38,252,086 19,126,043 57,378,130 28,689,065 86,067,196 43,033,598 21,516,799 64,550,398 32,275,199 96,825,598 48,412,799 145,238,398 72,619,199 217,857,598 108,928,799 326,786,398 163,393,199 490,179,598 245,089,799 735,269,398 367,634,699 1,102,904,098 551,452,049 1,654,356,148 827,178,074 413,589,037 1,240,767,112 620,383,556 310,191,778 155,095,889 465,287,668 232,643,834 116,321,917 348,965,752 174,482,876 87,241,438 43,620,719 130,862,158 65,431,079 196,293,238 98,146,619 294,439,858 147,219,929 441,659,788 220,829,894 110,414,947 331,244,842 165,622,421 496,867,264

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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