λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,500,450

8,500,450

2 × 52 × 7 × 149 × 163
Abundant Even Composite

8,500,450 factors as 2 × 5^2 × 7 × 149 × 163. Its 48 positive divisors give a proper-divisor sum of 9,801,950, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 149 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,302,400
Proper Divisor Sum 9,801,950
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8500447 ← → #8500483

Radix Representation

Decimal 8500450
Binary 100000011011010011100010 (24 bits)
Octal 0o40332342
Hexadecimal 0x81B4E2

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 149 163 175 298 326 350 745 815 1,043 1,141 1,490 1,630 2,086 2,282 3,725 4,075 5,215 5,705 7,450 8,150 10,430 11,410 24,287 26,075 28,525 48,574 52,150 57,050 121,435 170,009 242,870 340,018 607,175 850,045 1,214,350 1,700,090 4,250,225 8,500,450

Collatz Trajectory (150 steps to reach 1)

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

8,500,450 4,250,225 12,750,676 6,375,338 3,187,669 9,563,008 4,781,504 2,390,752 1,195,376 597,688 298,844 149,422 74,711 224,134 112,067 336,202 168,101 504,304 252,152 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #8,500,449 Browse Full Index Next Integer #8,500,451 →