λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,632,812
2,632,812
22 × 3 × 7 × 13 × 2411
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 2411
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,564,032
Proper Divisor Sum 4,931,220
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2632801 ← → #2632829

Radix Representation

Decimal 2632812
Binary 1010000010110001101100 (22 bits)
Octal 0o12026154
Hexadecimal 0x282C6C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 2,411 4,822 7,233 9,644 14,466 16,877 28,932 31,343 33,754 50,631 62,686 67,508 94,029 101,262 125,372 188,058 202,524 219,401 376,116 438,802 658,203 877,604 1,316,406 2,632,812

Collatz Trajectory (187 steps to reach 1)

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

2,632,812 1,316,406 658,203 1,974,610 987,305 2,961,916 1,480,958 740,479 2,221,438 1,110,719 3,332,158 1,666,079 4,998,238 2,499,119 7,497,358 3,748,679 11,246,038 5,623,019 16,869,058 8,434,529 25,303,588 12,651,794 6,325,897 18,977,692 9,488,846 4,744,423 14,233,270 7,116,635 21,349,906 10,674,953 32,024,860 16,012,430 8,006,215 24,018,646 12,009,323 36,027,970 18,013,985 54,041,956 27,020,978 13,510,489 40,531,468 20,265,734 10,132,867 30,398,602 15,199,301 45,597,904 22,798,952 11,399,476 5,699,738 2,849,869 8,549,608 4,274,804 2,137,402 1,068,701 3,206,104 1,603,052 801,526 400,763 1,202,290 601,145

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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