4,400,817

3 × 37 × 41 × 967

4,400,817 is odd and not a perfect square. Its factorization is 3 × 37 × 41 × 967 and its 16 divisors sum to 6,179,712.

Prime Factor Structure

Factorization String 3 × 37 × 41 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,179,712

Proper Divisor Sum 1,778,895

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4400813 ← → #4400819

Radix Representation

Decimal	4400817
Binary	10000110010011010110001 (23 bits)
Octal	0o20623261
Hexadecimal	0x4326B1

Divisor Catalog (16)

1 3 37 41 111 123 967 1,517 2,901 4,551 35,779 39,647 107,337 118,941 1,466,939 4,400,817

Collatz Trajectory (87 steps to reach 1)

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

4,400,817 13,202,452 6,601,226 3,300,613 9,901,840 4,950,920 2,475,460 1,237,730 618,865 1,856,596 928,298 464,149 1,392,448 696,224 348,112 174,056 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130

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