12394
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18594
- Proper Divisor Sum (Aliquot Sum)
- 6200
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6196
- Möbius Function
- 1
- Radical
- 12394
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- 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
- Number of ternary rooted trees with n nodes and height exactly 7.at n=15A036422
- Numbers k such that k^8 == 1 (mod 9^3).at n=34A056084
- Numbers n such that n^24 + 1 = p*q with p,q distinct primes.at n=21A119982
- Size of the Hilbert basis of the cone { x in Z+^n : (a,x)=0 } where a=(-1,1,2,...,n-2,-(n-1)).at n=18A141347
- a(n) = 729*n + 1.at n=16A158397
- Parameters n for which the elliptic curve y^2=x^3-n has rank 4.at n=13A179137
- Number of vertices with even distance from the root in "0-1-2" Motzkin trees on n edges.at n=10A179176
- Number of representations of n as a sum of products of pairs of positive integers, n = Sum_{k=1..m} i_k*j_k with i_k<=j_k, i_k<=i_{k+1}, j_k<=j_{k+1}, i_k*j_k<=i_{k+1}*j_{k+1}.at n=32A212214
- L.g.f.: -log(1 - Sum_{n>=1} x^(n^2)) = Sum_{n>=1} a(n)*x^n/n.at n=26A219331
- Number of (4+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically.at n=11A253701
- Numbers n such that both n and n^2 contain "123" as a substring.at n=1A268278
- a(n) is the number of permutations of length n that avoid the pattern 231 and the mesh pattern (12, 174) or the same sequence for the mesh pattern (12, 238).at n=10A289447
- a(n) = (-1)^n*n!*[x^n] exp(-x)/(1 + log(1+x)).at n=6A291979
- Triangle read by rows, T(n, k) the coefficients of some polynomials in Pi, for n >= 0 and 0 <= k <= n.at n=21A295517
- G.f. A(x) satisfies: A(x) = x*exp(-A(-x) + A(-x^2)/2 - A(-x^3)/3 + A(-x^4)/4 - A(-x^5)/5 + ...).at n=18A306768
- a(n) is the number of partitions of n without repeated odd parts such that the total number of parts congruent to 0,3, or 5 modulo 8 is even.at n=51A335745
- The excess of the number of partitions of n with more odd parts than even parts over the number of partitions of n with more even parts than odd parts.at n=39A338860
- Sum over all partitions lambda of n of binomial(|lambda|, |{lambda}|).at n=17A339006
- a(n) = number of partitions p of n such that the least multiplicity of the parts of p is not a part of p.at n=44A365615