8,742,224

2⁴ × 29 × 83 × 227

For 8,742,224, the 40 positive divisors have a total of 17,811,360. Removing 8,742,224 leaves 9,069,136, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 29 × 83 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 17,811,360

Proper Divisor Sum 9,069,136

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8742197 ← → #8742259

Radix Representation

Decimal	8742224
Binary	100001010110010101010000 (24 bits)
Octal	0o41262520
Hexadecimal	0x856550

Divisor Catalog (40)

1 2 4 8 16 29 58 83 116 166 227 232 332 454 464 664 908 1,328 1,816 2,407 3,632 4,814 6,583 9,628 13,166 18,841 19,256 26,332 37,682 38,512 52,664 75,364 105,328 150,728 301,456 546,389 1,092,778 2,185,556 4,371,112 8,742,224

Collatz Trajectory (181 steps to reach 1)

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

8,742,224 4,371,112 2,185,556 1,092,778 546,389 1,639,168 819,584 409,792 204,896 102,448 51,224 25,612 12,806 6,403 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546

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