5458
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
- 8190
- Proper Divisor Sum (Aliquot Sum)
- 2732
- 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
- 1
- Radical
- 5458
- 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
- 160
- 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
- yes
- Odd
- no
Appears in sequences
- Euler transform of numbers of preferential arrangements.at n=6A007003
- Coordination sequence T3 for Zeolite Code MFS.at n=46A008175
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=34A020358
- Decimal part of a(n)^(1/n) starts with a pandigital anagram (digits 0 through 9 in some order).at n=18A035304
- Numbers having four 3's in base 5.at n=30A043364
- Numbers whose base-2 representation has exactly 12 runs.at n=5A043579
- Row sums of array T as in A054110.at n=11A054111
- a(n) = Sum_{k=1..n} lcm(k,n)/gcd(k,n).at n=27A056789
- Numbers k such that sigma(k) is a harmonic number.at n=29A074245
- Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; then a(n) is the number of partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p <= A000230(n).at n=43A079023
- Vertical of triangular spiral in A051682.at n=34A081271
- Numbers n such that n#*2^n+1 is prime, where n# = product of primes <= n.at n=44A084404
- Reversible Smith numbers, i.e., Smith numbers whose reversal is also a Smith number.at n=40A104171
- square resultant of a complex prime genus function based on modulo 12 genus and modulo six genus functions.at n=47A116580
- Numbers n such that n^4+1 and n^4+3 are twin primes.at n=39A127871
- Numbers k such that 17^k - 2 is a prime.at n=9A128459
- Number of right triangles with nonnegative integer coordinates less than or equal to n and one corner at the origin.at n=32A155154
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,0 4,1 5,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=5A155283
- The number of subsets of the numbers {1,2,3...,n} consisting of at most 3 elements and at most two of those are even.at n=33A204555
- The number of subsets X of Zn such that for all u, v in X, u+v is not in X.at n=21A206702