λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,614,800

1,614,800

24 × 52 × 11 × 367
Abundant Even Composite

1,614,800 factors as 2^4 × 5^2 × 11 × 367. Its 60 positive divisors give a proper-divisor sum of 2,628,976, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,243,776
Proper Divisor Sum 2,628,976
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1614793 ← → #1614803

Radix Representation

Decimal 1614800
Binary 110001010001111010000 (21 bits)
Octal 0o6121720
Hexadecimal 0x18A3D0

Divisor Catalog (60)

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 367 400 440 550 734 880 1,100 1,468 1,835 2,200 2,936 3,670 4,037 4,400 5,872 7,340 8,074 9,175 14,680 16,148 18,350 20,185 29,360 32,296 36,700 40,370 64,592 73,400 80,740 100,925 146,800 161,480 201,850 322,960 403,700 807,400 1,614,800

Collatz Trajectory (70 steps to reach 1)

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

1,614,800 807,400 403,700 201,850 100,925 302,776 151,388 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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