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Atlas › Integer Profiles › Node 21,364,590

21,364,590

2 × 3 × 5 × 13 × 29 × 1889
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 29 × 1889
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 57,153,600
Proper Divisor Sum 35,789,010
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21364547 ← → #21364591

Radix Representation

Decimal 21364590
Binary 1010001011111111101101110 (25 bits)
Octal 0o121377556
Hexadecimal 0x145FF6E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1,131 1,885 1,889 2,262 3,770 3,778 5,655 5,667 9,445 11,310 11,334 18,890 24,557 28,335 49,114 54,781 56,670 73,671 109,562 122,785 147,342 164,343 245,570 273,905 328,686 368,355 547,810 712,153 736,710 821,715 1,424,306 1,643,430 2,136,459 3,560,765

Collatz Trajectory (203 steps to reach 1)

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

21,364,590 10,682,295 32,046,886 16,023,443 48,070,330 24,035,165 72,105,496 36,052,748 18,026,374 9,013,187 27,039,562 13,519,781 40,559,344 20,279,672 10,139,836 5,069,918 2,534,959 7,604,878 3,802,439 11,407,318 5,703,659 17,110,978 8,555,489 25,666,468 12,833,234 6,416,617 19,249,852 9,624,926 4,812,463 14,437,390 7,218,695 21,656,086 10,828,043 32,484,130 16,242,065 48,726,196 24,363,098 12,181,549 36,544,648 18,272,324 9,136,162 4,568,081 13,704,244 6,852,122 3,426,061 10,278,184 5,139,092 2,569,546 1,284,773 3,854,320 1,927,160 963,580 481,790 240,895 722,686 361,343 1,084,030 542,015 1,626,046 813,023

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