λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,245,465
10,245,465
32 × 5 × 19 × 23 × 521
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 23 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,543,680
Proper Divisor Sum 9,298,215
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #10245463 ← → #10245467

Radix Representation

Decimal 10245465
Binary 100111000101010101011001 (24 bits)
Octal 0o47052531
Hexadecimal 0x9C5559

Divisor Catalog (48)

1 3 5 9 15 19 23 45 57 69 95 115 171 207 285 345 437 521 855 1,035 1,311 1,563 2,185 2,605 3,933 4,689 6,555 7,815 9,899 11,983 19,665 23,445 29,697 35,949 49,495 59,915 89,091 107,847 148,485 179,745 227,677 445,455 539,235 683,031 1,138,385 2,049,093 3,415,155 10,245,465

Collatz Trajectory (189 steps to reach 1)

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

10,245,465 30,736,396 15,368,198 7,684,099 23,052,298 11,526,149 34,578,448 17,289,224 8,644,612 4,322,306 2,161,153 6,483,460 3,241,730 1,620,865 4,862,596 2,431,298 1,215,649 3,646,948 1,823,474 911,737 2,735,212 1,367,606 683,803 2,051,410 1,025,705 3,077,116 1,538,558 769,279 2,307,838 1,153,919 3,461,758 1,730,879 5,192,638 2,596,319 7,788,958 3,894,479 11,683,438 5,841,719 17,525,158 8,762,579 26,287,738 13,143,869 39,431,608 19,715,804 9,857,902 4,928,951 14,786,854 7,393,427 22,180,282 11,090,141 33,270,424 16,635,212 8,317,606 4,158,803 12,476,410 6,238,205 18,714,616 9,357,308 4,678,654 2,339,327

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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