8,252,442

2 × 3⁴ × 11² × 421

Starting at 8,252,442, the Collatz iteration reaches 1 after 137 steps. The first transition is 4126221; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 11^2 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 20,373,738

Proper Divisor Sum 12,121,296

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8252411 ← → #8252459

Radix Representation

Decimal	8252442
Binary	11111011110110000011010 (23 bits)
Octal	0o37366032
Hexadecimal	0x7DEC1A

Divisor Catalog (60)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 421 594 726 842 891 1,089 1,263 1,782 2,178 2,526 3,267 3,789 4,631 6,534 7,578 9,262 9,801 11,367 13,893 19,602 22,734 27,786 34,101 41,679 50,941 68,202 83,358 101,882 125,037 152,823 250,074 305,646 375,111 458,469 750,222 916,938 1,375,407 2,750,814 4,126,221 8,252,442

Collatz Trajectory (137 steps to reach 1)

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

8,252,442 4,126,221 12,378,664 6,189,332 3,094,666 1,547,333 4,642,000 2,321,000 1,160,500 580,250 290,125 870,376 435,188 217,594 108,797 326,392 163,196 81,598 40,799 122,398 61,199 183,598 91,799 275,398 137,699 413,098 206,549 619,648 309,824 154,912 77,456 38,728 19,364 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366

← Previous Integer #8,252,441 Browse Full Index Next Integer #8,252,443 →