5464
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
- 8
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 4796
- 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
- 2728
- Möbius Function
- 0
- Radical
- 1366
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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 generalized Fibonacci sequence.at n=48A001584
- For any circular arrangement of 0..n-1, let S be the sum of cubes of every sum of two contiguous numbers; then a(n) is the number of distinct values of S.at n=13A008781
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=15A020409
- Numbers k such that Fib(k) == -21 (mod k).at n=45A023168
- a(n) = [ 2nd elementary symmetric function of {sqrt(k)} ], k = 1,2,...,n.at n=27A025193
- 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 17.at n=39A031515
- Sum of first n primes of form 4k-1.at n=35A038347
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=36A046015
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A048149.at n=26A049714
- Composite n such that phi(n+4) = phi(n)+4.at n=37A056773
- Numbers k that divide the number of partitions of k into distinct parts (A000009).at n=11A056848
- Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; the n-th Fibonacci number is in antidiagonal a(n).at n=35A057042
- McKay-Thompson series of class 21D for Monster.at n=20A058566
- Numbers n such that n | p(n)*q(n), where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).at n=38A060744
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 12.at n=16A068033
- a(n) = 1 + Sum(prime(i)*(2*i-1): 1<=i<=n).at n=13A083215
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=20A091332
- a(1) = 4; then alternately add -4 and multiply by -2.at n=24A096406
- The values within a cycle of length 53 of the map x->A098189(x), sorted.at n=37A098191
- Integers k such that 5*10^k + 51 is prime.at n=10A110983