446,892

2² × 3 × 167 × 223

446,892 factors as 2^2 × 3 × 167 × 223. Its 24 positive divisors give a proper-divisor sum of 606,804, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 167 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,053,696

Proper Divisor Sum 606,804

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #446891 ← → #446893

Radix Representation

Decimal	446892
Binary	1101101000110101100 (19 bits)
Octal	0o1550654
Hexadecimal	0x6D1AC

Divisor Catalog (24)

1 2 3 4 6 12 167 223 334 446 501 668 669 892 1,002 1,338 2,004 2,676 37,241 74,482 111,723 148,964 223,446 446,892

Collatz Trajectory (94 steps to reach 1)

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

446,892 223,446 111,723 335,170 167,585 502,756 251,378 125,689 377,068 188,534 94,267 282,802 141,401 424,204 212,102 106,051 318,154 159,077 477,232 238,616 119,308 59,654 29,827 89,482 44,741 134,224 67,112 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #446,891 Browse Full Index Next Integer #446,893 →