4,464,825

3 × 5² × 59 × 1009

4,464,825 factors as 3 × 5^2 × 59 × 1009. Its 24 positive divisors give a proper-divisor sum of 3,049,575, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 59 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,514,400

Proper Divisor Sum 3,049,575

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4464821 ← → #4464839

Radix Representation

Decimal	4464825
Binary	10001000010000010111001 (23 bits)
Octal	0o21020271
Hexadecimal	0x4420B9

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

4,464,825 13,394,476 6,697,238 3,348,619 10,045,858 5,022,929 15,068,788 7,534,394 3,767,197 11,301,592 5,650,796 2,825,398 1,412,699 4,238,098 2,119,049 6,357,148 3,178,574 1,589,287 4,767,862 2,383,931 7,151,794 3,575,897 10,727,692 5,363,846 2,681,923 8,045,770 4,022,885 12,068,656 6,034,328 3,017,164 1,508,582 754,291 2,262,874 1,131,437 3,394,312 1,697,156 848,578 424,289 1,272,868 636,434 318,217 954,652 477,326 238,663 715,990 357,995 1,073,986 536,993 1,610,980 805,490 402,745 1,208,236 604,118 302,059 906,178 453,089 1,359,268 679,634 339,817 1,019,452

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