λ
Integer Codex

2,210,641

29 × 31 × 2459
Deficient Odd Composite

For 2,210,641, the 8 positive divisors have a total of 2,361,600. Removing 2,210,641 leaves 150,959, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 31 × 2459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,361,600
Proper Divisor Sum 150,959
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2210633 ← → #2210651

Radix Representation

Decimal 2210641
Binary 1000011011101101010001 (22 bits)
Octal 0o10335521
Hexadecimal 0x21BB51

Divisor Catalog (8)

1 29 31 899 2,459 71,311 76,229 2,210,641

Collatz Trajectory (241 steps to reach 1)

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

2,210,641 6,631,924 3,315,962 1,657,981 4,973,944 2,486,972 1,243,486 621,743 1,865,230 932,615 2,797,846 1,398,923 4,196,770 2,098,385 6,295,156 3,147,578 1,573,789 4,721,368 2,360,684 1,180,342 590,171 1,770,514 885,257 2,655,772 1,327,886 663,943 1,991,830 995,915 2,987,746 1,493,873 4,481,620 2,240,810 1,120,405 3,361,216 1,680,608 840,304 420,152 210,076 105,038 52,519 157,558 78,779 236,338 118,169 354,508 177,254 88,627 265,882 132,941 398,824 199,412 99,706 49,853 149,560 74,780 37,390 18,695 56,086 28,043 84,130

More profiles

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