4,432,041

3² × 29 × 16981

4,432,041 factors as 3^2 × 29 × 16981. Its 12 positive divisors give a proper-divisor sum of 2,190,939, so this integer is deficient. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 16981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,622,980

Proper Divisor Sum 2,190,939

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4432009 ← → #4432069

Radix Representation

Decimal	4432041
Binary	10000111010000010101001 (23 bits)
Octal	0o20720251
Hexadecimal	0x43A0A9

Divisor Catalog (12)

1 3 9 29 87 261 16,981 50,943 152,829 492,449 1,477,347 4,432,041

Collatz Trajectory (273 steps to reach 1)

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

4,432,041 13,296,124 6,648,062 3,324,031 9,972,094 4,986,047 14,958,142 7,479,071 22,437,214 11,218,607 33,655,822 16,827,911 50,483,734 25,241,867 75,725,602 37,862,801 113,588,404 56,794,202 28,397,101 85,191,304 42,595,652 21,297,826 10,648,913 31,946,740 15,973,370 7,986,685 23,960,056 11,980,028 5,990,014 2,995,007 8,985,022 4,492,511 13,477,534 6,738,767 20,216,302 10,108,151 30,324,454 15,162,227 45,486,682 22,743,341 68,230,024 34,115,012 17,057,506 8,528,753 25,586,260 12,793,130 6,396,565 19,189,696 9,594,848 4,797,424 2,398,712 1,199,356 599,678 299,839 899,518 449,759 1,349,278 674,639 2,023,918 1,011,959

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