5485
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6588
- Proper Divisor Sum (Aliquot Sum)
- 1103
- 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
- 4384
- Möbius Function
- 1
- Radical
- 5485
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Coordination sequence T9 for Zeolite Code EUO.at n=46A008104
- Coordination sequence T4 for Zeolite Code SGT.at n=46A008232
- Number of squares on infinite chessboard at <= n knight's moves from a fixed square.at n=20A018836
- Numbers k such that the continued fraction for sqrt(k) has period 53.at n=8A020392
- Convolution of odd numbers and primes.at n=17A023662
- Numbers having three 5's in base 8.at n=30A043443
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 21.at n=9A051986
- Numbers k such that k^10 == 1 (mod 11^3).at n=42A056085
- Coordination sequence T5 for Zeolite Code MTF.at n=44A057308
- Numbers n such that RevBinary(RevDecimal(n))=RevDecimal(RevBinary(n)), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101).at n=36A081433
- Numbers such that RevBinary() = RevDecimal(), where RevDecimal(n) is the decimal reversal of n (A004086) and RevBinary(n) is the binary reversal of n (A030101).at n=15A081434
- A014486-indices of binary trees whose left and right subtree are identical.at n=18A083938
- Number of distinct products i*j*k for 1 <= i <= j < k <= n.at n=45A100435
- Number of partitions of n which represent losing Chomp positions.at n=51A112470
- a(n) = 60*(n^5/120 + n^4/24 + n^3/6 + n^2/2 + n + 1).at n=4A127883
- 3n^3 + 2n^2 + n + 1.at n=12A130884
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 2X2 block with tail 1,1 1,2 1,3 2,2 2,3 in any orientation.at n=7A146053
- Number of "ON" cells after n-th stage in simple 2-dimensional cellular automaton (see Comments for precise definition).at n=41A160117
- Nonpalindromic numbers whose binary representation when reversed is the same as binary representation of the number reversed in decimal.at n=4A176630
- Expansion of e.g.f. (1/(1-x))^exp(x).at n=6A191365