14592
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
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 40880
- Proper Divisor Sum (Aliquot Sum)
- 26288
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 10
- 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
- 40
- 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
- Expansion of e.g.f.: exp(tanh(x)+tan(x))=1+2*x+4/2!*x^2+8/3!*x^3+16/4!*x^4+64/5!*x^5...at n=8A013133
- cos(tanh(x)+tan(x))=1-4/2!*x^2+16/4!*x^4-448/6!*x^6+14592/8!*x^8...at n=4A013138
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=19A019292
- Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.at n=34A028579
- Numbers that are divisible by exactly 10 primes with multiplicity.at n=32A046314
- McKay-Thompson series of class 16A for Monster.at n=17A058514
- Numbers k such that k divides prime(k^2)+1.at n=23A067853
- Smallest k-almost prime between twin primes (for k >= 2).at n=8A068525
- Expansion of (1-x)/(1-2*x+2*x^2-2*x^3).at n=25A078003
- Expansion of x/(1 - 4*x^2 - 4*x^3).at n=13A099462
- Numbers k such that 5*10^k - 9 is prime.at n=15A103001
- Integers k such that k + phi(k) + phi(phi(k)) is a fourth power.at n=12A116041
- a(n) = a(n-1) + a(n-2) + a(n-3) - a(n-4); a(0)=0, a(1)=1, a(2)=1, a(3)=1.at n=20A116201
- (1,3)-entry of the 3 X 3 matrix M^n, where M = {{0, -1, 1}, {1, 1, 0}, {0, 1, 1}}.at n=26A122788
- a(n) = n*(4*n^2+5*n-3)/2.at n=18A126335
- Ramanujan numbers (A000594) read mod 16384.at n=41A126824
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and pyramid weight k.at n=52A129163
- Numbers k such that k, k + 2310, k + 2 * 2310, k + 3 * 2310, and k + 4 * 2310 are all averages of twin primes.at n=1A141593
- Number of intersection points outside the n-gon of all lines through pairs of vertices of a regular n-gon.at n=21A146213
- G.f. of the z^1 coefficients of the FP2 in the second column of the A156925 matrix.at n=7A156934