12468
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29120
- Proper Divisor Sum (Aliquot Sum)
- 16652
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4152
- Möbius Function
- 0
- Radical
- 6234
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Triangle of numbers of hybrid rooted trees (divided by Fibonacci numbers).at n=39A011274
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 74.at n=30A031572
- Smallest integer whose name in colloquial American English (no "and"s) uses n different letters.at n=17A038188
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=31A055755
- Sum of the remainders when n^2 is divided by squares less than n.at n=46A067459
- a(n) = 10000*n + 2468.at n=1A102689
- Integer log of (numerator of convergent to E / denominator of convergent to E) = A001414(A007676/A007677) = A001414(A007676)-A001414(A007677).at n=15A136122
- a(n) = (2*n^3 + 9*n^2 + n + 24) / 6.at n=32A160805
- a(n) is the smallest number whose American English name contains n distinct letters of the alphabet; 3 <= n <= 23.at n=15A168137
- Augmentation of the Fibonacci triangle A193588. See Comments.at n=41A193589
- Number of n X 2 0..1 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=42A201347
- Number of n X n 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=2A207352
- Number of nX3 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=2A207353
- T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically.at n=12A207358
- Number of n X n 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically.at n=2A207983
- Number of nX3 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically.at n=2A207984
- T(n,k)=Number of nXk 0..2 arrays avoiding the pattern z z+1 z horizontally and z z-1 z vertically.at n=12A207989
- Number of distinct sums of subsets of the first n squares {1,4,9,...,n^2}.at n=32A208531
- Number of 2n-bead necklaces labeled with numbers 1..n not allowing reversal, with neighbors differing by exactly 1.at n=8A208722
- Number of incidences in the poset of conjugacy classes of subgroups of the alternating group.at n=10A218922