5455
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 1097
- 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
- 4360
- Möbius Function
- 1
- Radical
- 5455
- 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
- 129
- Smith Number
- no
- 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
- Kaprekar triples: q such that q = x + y + z and q^3 = x*10^2n + y*10^n + z, where z < 10^n and n is the number of digits in q. q is not a power of 10 (except q=1).at n=10A006887
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=3, a(1)=11.at n=14A022410
- Conjectured number of irreducible multiple zeta values of depth 7 and weight 2n+19.at n=16A022495
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=23A025119
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=31A027578
- Pair up the numbers.at n=27A030656
- Lucky numbers that are decimal concatenations of n with n + 1.at n=7A032651
- Numbers having three 5's in base 10.at n=9A043511
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=34A045131
- Number of upward triangles in a Star of David matchstick arrangement of size n.at n=10A045950
- Pseudo-Kaprekar triples: q such that if q=x+y+z, then q^3=x*10^i + y*10^j + z, where (y*10^j+z < 10^i) and z < 10^j.at n=20A060768
- Erroneous version of A006887.at n=11A060809
- Fourth column (r=3) of FS(3) staircase array A062745.at n=29A062748
- Positions of non-crossing fixed-point-free involutions encoded by A014486 in A055089. Permutation of A064640.at n=11A064638
- Positions of non-crossing fixed-point-free involutions encoded by A014486 (after reflection) in A055089. Permutation of A064640.at n=11A064639
- Positions of non-crossing fixed-point-free involutions (encoded by A014486) in A055089, sorted to ascending order.at n=11A064640
- Numbers n such that phi(phi(n)) = phi(sigma(n)) where phi is Euler's totient and sigma is the multiplicative sum-of-divisors function.at n=43A065555
- Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).at n=37A069746
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1,1}.at n=17A080005
- Generalized Jacobsthal numbers.at n=13A083579