5058
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10998
- Proper Divisor Sum (Aliquot Sum)
- 5940
- 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
- 1680
- Möbius Function
- 0
- Radical
- 1686
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=6A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=6A004969
- Coordination sequence for MgZn2, Position Zn2.at n=18A009938
- Coordination sequence for root lattice B_3.at n=16A022145
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=17A023627
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 70.at n=10A031568
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,0,2.at n=5A037703
- Triangular array T(n,k): start with T(n,0)=T(n,n)=1 for n >= 0; recursively, draw vertical lines through T(n-1,k-1) if present and T(n-1,k) if present; then T(n,k) is the sum of T(i,j) that lie on or between the lines and not below T(n,k).at n=60A054120
- T(2n,n), array T as in A054120.at n=5A054122
- McKay-Thompson series of class 33B for Monster.at n=33A058637
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=45A063381
- Partial sums of A068058 + 1.at n=30A068059
- Floor(average of first n Fibonacci numbers).at n=23A078620
- Number of primes between prime(n) and prime(n)^2.at n=47A079047
- Poincaré series [or Poincare series] (or Molien series) for a certain six-fold wreath product P_6.at n=33A091769
- a(n) = (1/24) * (A018188(n)-11).at n=31A092153
- a(1) = 30; for n > 1, a(n+1) = a(n) + {product of nonzero digits of a(n)}.at n=45A095992
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k peaks (n>=0, 0<=k<=floor(n/2)).at n=44A097860
- a(1) = 668; for n > 1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=21A105212
- Number of Feynman diagrams (vanishing and non-vanishing) of order 2n for the proper self-energy function of quantum electrodynamics (QED).at n=5A115974