λ
Integer Codex

5,201,326

2 × 13 × 19 × 10529
Deficient Even Composite

For 5,201,326, the 16 positive divisors have a total of 8,845,200. Removing 5,201,326 leaves 3,643,874, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 13 × 19 × 10529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,845,200
Proper Divisor Sum 3,643,874
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5201311 ← → #5201327

Radix Representation

Decimal 5201326
Binary 10011110101110110101110 (23 bits)
Octal 0o23656656
Hexadecimal 0x4F5DAE

Divisor Catalog (16)

1 2 13 19 26 38 247 494 10,529 21,058 136,877 200,051 273,754 400,102 2,600,663 5,201,326

Collatz Trajectory (188 steps to reach 1)

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

5,201,326 2,600,663 7,801,990 3,900,995 11,702,986 5,851,493 17,554,480 8,777,240 4,388,620 2,194,310 1,097,155 3,291,466 1,645,733 4,937,200 2,468,600 1,234,300 617,150 308,575 925,726 462,863 1,388,590 694,295 2,082,886 1,041,443 3,124,330 1,562,165 4,686,496 2,343,248 1,171,624 585,812 292,906 146,453 439,360 219,680 109,840 54,920 27,460 13,730 6,865 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506

More profiles

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