12352
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 24638
- Proper Divisor Sum (Aliquot Sum)
- 12286
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6144
- Möbius Function
- 0
- Radical
- 386
- Omega Function (Ω)
- 7
- 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
- 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
- Numbers that are the sum of 4 positive 6th powers.at n=32A003360
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7.at n=29A060529
- Numbers k such that Sum_{i=1..k} phi(i)/gcd(k,i) is an integer.at n=40A066969
- Arithmetic derivative of (prime(n)+1)*(prime(n+1)+1)/4.at n=29A079094
- Number of partitions of n into lower Wythoff numbers (A000201).at n=52A192184
- Number of n X 3 nonnegative integer arrays with each row and column increasing from zero by 0, 1 or 2.at n=9A202807
- Value of A114183 at end of n-th doubling run.at n=30A213656
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A238049
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A238051
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=3A238054
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=5A238054
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 213", based on the 5-celled von Neumann neighborhood.at n=25A270903
- Numbers n such that (n-1)^3 + (n+1)^3 is a taxi-cab number (A001235).at n=33A272910
- Number of cells in the canonical partition by Laflamme, Sauer and Vuksanovic of n-element subsets of the infinite random (Rado) graph.at n=3A293158
- Numbers k > 0 that set a new record for the closeness of (4/3)*Pi*k^3 to an integer.at n=10A297839
- Sum of the even parts in the partitions of n into 10 parts.at n=32A309664
- a(n) = [x^n] (Sum_{k=0..n} (k*x)^k)/(Sum_{k=0..n} (-k*x)^k).at n=6A316090
- E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.at n=58A322190
- E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.at n=62A322190
- E.g.f.: C(x,y) = cosh(x)*cosh(y) / (1 - sinh(x)*sinh(y)), where C(x,y) = Sum_{n>=0} Sum_{k=0..2*n} T(n,k) * x^(2*n-k)*y^k/((2*n-k)!*k!), as a triangle of coefficients T(n,k) read by rows.at n=28A322193