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Atlas › Integer Profiles › Node 2,138,490

2,138,490

2 × 32 × 5 × 23761
Abundant Even Composite

2,138,490 factors as 2 × 3^2 × 5 × 23761. Its 24 positive divisors give a proper-divisor sum of 3,421,818, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23761
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,560,308
Proper Divisor Sum 3,421,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2138483 ← → #2138491

Radix Representation

Decimal 2138490
Binary 1000001010000101111010 (22 bits)
Octal 0o10120572
Hexadecimal 0x20A17A

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 23,761 47,522 71,283 118,805 142,566 213,849 237,610 356,415 427,698 712,830 1,069,245 2,138,490

Collatz Trajectory (73 steps to reach 1)

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

2,138,490 1,069,245 3,207,736 1,603,868 801,934 400,967 1,202,902 601,451 1,804,354 902,177 2,706,532 1,353,266 676,633 2,029,900 1,014,950 507,475 1,522,426 761,213 2,283,640 1,141,820 570,910 285,455 856,366 428,183 1,284,550 642,275 1,926,826 963,413 2,890,240 1,445,120 722,560 361,280 180,640 90,320 45,160 22,580 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11

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