λ
Integer Codex

2,361,515

5 × 13 × 47 × 773
Deficient Odd Composite

For 2,361,515, the 16 positive divisors have a total of 3,120,768. Removing 2,361,515 leaves 759,253, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 47 × 773
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,120,768
Proper Divisor Sum 759,253
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2361509 ← → #2361539

Radix Representation

Decimal 2361515
Binary 1001000000100010101011 (22 bits)
Octal 0o11004253
Hexadecimal 0x2408AB

Divisor Catalog (16)

1 5 13 47 65 235 611 773 3,055 3,865 10,049 36,331 50,245 181,655 472,303 2,361,515

Collatz Trajectory (267 steps to reach 1)

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

2,361,515 7,084,546 3,542,273 10,626,820 5,313,410 2,656,705 7,970,116 3,985,058 1,992,529 5,977,588 2,988,794 1,494,397 4,483,192 2,241,596 1,120,798 560,399 1,681,198 840,599 2,521,798 1,260,899 3,782,698 1,891,349 5,674,048 2,837,024 1,418,512 709,256 354,628 177,314 88,657 265,972 132,986 66,493 199,480 99,740 49,870 24,935 74,806 37,403 112,210 56,105 168,316 84,158 42,079 126,238 63,119 189,358 94,679 284,038 142,019 426,058 213,029 639,088 319,544 159,772 79,886 39,943 119,830 59,915 179,746 89,873

More profiles

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