4,580,433

3² × 11 × 13 × 3559

4,580,433 factors as 3^2 × 11 × 13 × 3559. Its 24 positive divisors give a proper-divisor sum of 3,194,607, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 13 × 3559

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,775,040

Proper Divisor Sum 3,194,607

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4580417 ← → #4580441

Radix Representation

Decimal	4580433
Binary	10001011110010001010001 (23 bits)
Octal	0o21362121
Hexadecimal	0x45E451

Divisor Catalog (24)

Collatz Trajectory (87 steps to reach 1)

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

4,580,433 13,741,300 6,870,650 3,435,325 10,305,976 5,152,988 2,576,494 1,288,247 3,864,742 1,932,371 5,797,114 2,898,557 8,695,672 4,347,836 2,173,918 1,086,959 3,260,878 1,630,439 4,891,318 2,445,659 7,336,978 3,668,489 11,005,468 5,502,734 2,751,367 8,254,102 4,127,051 12,381,154 6,190,577 18,571,732 9,285,866 4,642,933 13,928,800 6,964,400 3,482,200 1,741,100 870,550 435,275 1,305,826 652,913 1,958,740 979,370 489,685 1,469,056 734,528 367,264 183,632 91,816 45,908 22,954 11,477 34,432 17,216 8,608 4,304 2,152 1,076 538 269 808

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