4,500,909

3² × 7 × 71443

4,500,909 factors as 3^2 × 7 × 71443. Its 12 positive divisors give a proper-divisor sum of 2,929,267, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 71443

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,430,176

Proper Divisor Sum 2,929,267

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4500907 ← → #4500913

Radix Representation

Decimal	4500909
Binary	10001001010110110101101 (23 bits)
Octal	0o21126655
Hexadecimal	0x44ADAD

Divisor Catalog (12)

1 3 7 9 21 63 71,443 214,329 500,101 642,987 1,500,303 4,500,909

Collatz Trajectory (87 steps to reach 1)

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

4,500,909 13,502,728 6,751,364 3,375,682 1,687,841 5,063,524 2,531,762 1,265,881 3,797,644 1,898,822 949,411 2,848,234 1,424,117 4,272,352 2,136,176 1,068,088 534,044 267,022 133,511 400,534 200,267 600,802 300,401 901,204 450,602 225,301 675,904 337,952 168,976 84,488 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

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