5439
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8664
- Proper Divisor Sum (Aliquot Sum)
- 3225
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3024
- Möbius Function
- 0
- Radical
- 777
- 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
- 67
- 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
- no
- Odd
- yes
Appears in sequences
- Triangle of numbers of hybrid rooted trees (divided by Fibonacci numbers).at n=50A011274
- Expansion of 1/(1-x^3-x^4-x^5-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=27A017825
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=31A025212
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a prime.at n=43A032695
- a(n) = n*(4*n-1).at n=37A033991
- Multiplicity of highest weight (or singular) vectors associated with character chi_149 of Monster module.at n=38A034537
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=34A045127
- Has both a primitive and imprimitive representation as x^2 + xy + y^2.at n=40A045897
- Numbers n such that 261*2^n-1 is prime.at n=25A050889
- Numbers k such that sigma_k(k)/k is an integer, where sigma_k(k) is the sum of the k-th powers of the divisors of k (A023887).at n=40A067313
- Number of positions that are exactly n moves from the starting position in the Rashkey Type 2 puzzle.at n=8A079857
- Numbers n such that N(n+1) - N(n) sets a new record, where N(n) = A005349.at n=14A082517
- Least integer m such that between m and 2m there are n triangular numbers.at n=43A085762
- Rhonda numbers to base 10.at n=4A099542
- Values of z in solutions (x,y,z) to the Diophantine equation x^3-x^2+y^3-y^2=z^3-z^2, with 1<x<y<z arranged in order of increasing x.at n=15A138669
- Numbers of the form 110 + p^2. (where p is a prime).at n=20A138693
- Numbers k such that A145768(k) is a square.at n=30A145827
- Riordan array ((1-3x+x^2)/(1-4x+3x^2), x(1-2x)/(1-4x+3x^2)).at n=49A147747
- Nonprimes formed by concatenation of the decimal digits of a nonprime and its index.at n=33A154507
- a(n) = 4*n^2 + 79*n + 390.at n=26A157434