12202
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18306
- Proper Divisor Sum (Aliquot Sum)
- 6104
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6100
- Möbius Function
- 1
- Radical
- 12202
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 112
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 81.at n=10A020420
- Numerators of continued fraction convergents to sqrt(964).at n=4A042864
- Numbers having three 2's in base 10.at n=40A043499
- a(n) = A048141(3*n+2).at n=53A051060
- Numbers n such that n^1024 + 1 is prime (a generalized Fermat prime).at n=15A057002
- Coefficients in the series (1 + x^2 + x^3 + x^5 + x^7 + x^11 + x^13 + ... )/(1 - x - x^4 - x^6 - x^8 - x^9 - x^10 - x^12 - x^14 - ... ).at n=23A058355
- a(n) = floor((product of next n even numbers) / (product of first n odd numbers)).at n=4A092934
- Largest value in trajectory when the following modified juggler map is iterated: a[n]=(1-Mod[n, 2])*Floor[n^(3/4)]+Mod[n, 2]*Floor[n^(4/3)]; original exponents {1/2, 3/2} are replaced with {3/4, 4/3}.at n=52A095400
- Trajectory of 1001 under "3x+1" map.at n=30A100709
- Ternary emirpimes.at n=12A119684
- 1 + Sum[ k^(n-1), {k,1,n}].at n=5A120490
- Least magic constant of magic squares using Smith numbers.at n=7A170928
- Numbers 3*n + 2 written in base 3.at n=51A190642
- Numbers of the form x^3 + SumOfCubedDigits(x).at n=23A225051
- Number of length n+5 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs.at n=10A256820
- a(n) = (2*n^6 - 6*n^5 + 5*n^4 - n^2 + 12)/12.at n=7A263689
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 78", based on the 5-celled von Neumann neighborhood.at n=35A270093
- Numbers n with the property that n^2 contains a sequence of four or more consecutive 8's.at n=4A301938
- Expansion of Sum_{k>=1} x^k * (1 + k * x^k)^k.at n=27A327249
- Numbers whose base phi representation is symmetrical with respect to the radix point.at n=43A330672