446,580

2² × 3³ × 5 × 827

446,580 has digital root 9. The neighboring primes are 446569 and 446597; its proper-divisor sum differs from the starting integer by 497,880.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,391,040

Proper Divisor Sum 944,460

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #446569 ← → #446597

Radix Representation

Decimal	446580
Binary	1101101000001110100 (19 bits)
Octal	0o1550164
Hexadecimal	0x6D074

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 827 1,654 2,481 3,308 4,135 4,962 7,443 8,270 9,924 12,405 14,886 16,540 22,329 24,810 29,772 37,215 44,658 49,620 74,430 89,316 111,645 148,860 223,290 446,580

Collatz Trajectory (138 steps to reach 1)

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

446,580 223,290 111,645 334,936 167,468 83,734 41,867 125,602 62,801 188,404 94,202 47,101 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834

← Previous Integer #446,579 Browse Full Index Next Integer #446,581 →