5992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 6968
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2544
- Möbius Function
- 0
- Radical
- 1498
- Omega Function (Ω)
- 5
- 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
- 49
- 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
- Series for second perpendicular moment of hexagonal lattice.at n=7A006742
- Coordination sequence T1 for Keatite.at n=43A009844
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=40A049830
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=14A049890
- Susceptibility series H_2 for 2-dimensional Ising model (divided by 2).at n=33A054275
- a(n) = a(n-1) + a(n-1 minus the number of terms of the same parity as n so far).at n=49A060714
- Number of powerful numbers not exceeding 2^n.at n=23A062762
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=19A063364
- Non-balanced numbers in A015771.at n=10A078549
- Smallest number which requires n iterations to reach a prime when iterating x + sum of squares of digits of x.at n=50A094658
- n sets a new record in A094830.at n=10A094878
- Numbers k such that k is reversal(k)-th even composite number (k is A004086(k)-th even composite number).at n=2A100413
- Expansion of 1/(4*sqrt(1-4*x) - 3).at n=4A115970
- Start with 1 and repeatedly reverse the digits and add 60 to get the next term.at n=37A118162
- Numerator of sum of reciprocals of first n pentatope numbers A000332.at n=27A118411
- Start with 1 and repeatedly reverse the digits and add 30 to get the next term.at n=44A118637
- a(1) = 1. a(n) = sum of the earlier terms of the sequence, a(k), where GCD(n,a(k)) is <= k, for 1 <= k <= n-1.at n=16A119990
- a(n) = 6 + floor((1 + Sum_{j=1..n-1} a(j))/3).at n=24A120152
- Triangle of numbers obtained from the partition array A134150.at n=23A134151
- Expansion of x/((1 - x - x^4)*(1 - x)^3).at n=18A145132