14100
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 41664
- Proper Divisor Sum (Aliquot Sum)
- 27564
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3680
- Möbius Function
- 0
- Radical
- 1410
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 120
- 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
- Octagonal pyramidal numbers: a(n) = n*(n+1)*(2*n-1)/2.at n=23A002414
- Keep only the middle digit of each integer and concatenate them. The result is the concatenation of all integers of the sequence.at n=41A106003
- Site series for first parallel moment of Kagome lattice.at n=13A120550
- Integer part of 6th root of product of first n primes.at n=18A127603
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 8 and 9.at n=38A136867
- a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1.at n=40A137742
- Number of 7 X 7 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n.at n=23A156392
- Number of reduced words of length n in Coxeter group on 25 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.at n=3A162811
- Numbers k such that k^3 +-7 are primes.at n=41A176685
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|>=n+|y-z|.at n=18A212688
- Even octagonal pyramidal numbers (A002414).at n=11A218327
- Numbers k that divide sigma(k) + sigma(k-1).at n=17A227306
- G.f.: A(x) = 1 + x*B(x), where B(x) = 1 + x^2*C(x)^2, C(x) = 1 + x^3*D(x)^3, D(x) = 1 + x^4*E(x)^4, ...at n=35A228866
- Expansion of q * phi(q)^3 * psi(q^2)^4 in powers of q where phi(), psi() are Ramanujan theta functions.at n=44A243763
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 597", based on the 5-celled von Neumann neighborhood.at n=23A273146
- a(n) = (n-4)*(n+1)*(n+3)/6.at n=40A275874
- One of the two successive approximations up to 7^n for the 7-adic integer sqrt(-3). These are the numbers congruent to 2 mod 7 (except for the initial 0).at n=5A290803
- Non-palindromic numbers n such that n * reverse(n) is a square and n and reverse(n) do not have the same number of digits.at n=23A322835
- Number of Motzkin meanders of length n with an odd number of humps and an odd number of peaks.at n=11A325927
- Exponential (2,3)-perfect numbers: numbers m such that esigma(esigma(m)) = 3m, where esigma(m) is the sum of exponential divisors of m (A051377).at n=13A328132