5190
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12528
- Proper Divisor Sum (Aliquot Sum)
- 7338
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1376
- Möbius Function
- 1
- Radical
- 5190
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 103
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coordination sequence T1 for Zeolite Code NES.at n=46A008205
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=5A031702
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=47A036030
- Coordination sequence T1 for Zeolite Code AEN.at n=45A047950
- a(n)=a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=27A050067
- Numbers k such that k and its reversal are both multiples of 15.at n=19A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=14A062914
- a(n) = smallest multiple of prime(n) such that a(n) +1 is a multiple of prime(n+1).at n=39A077338
- Number of compositions of n into 4 parts such that no two adjacent parts are equal.at n=29A106353
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^53 + k^55 is prime.at n=41A124207
- Number of parts > 1 in the last section of the set of partitions of n.at n=28A138135
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, 1)}.at n=8A148935
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, 1), (1, 0, 0), (1, 1, -1)}.at n=7A150158
- 3 times 11-gonal (or hendecagonal) numbers: a(n) = 3*n*(9*n-7)/2.at n=20A153783
- a(n) = 576*n^2 + 2*n.at n=2A158369
- a(n) = 36*n^2 + 6.at n=11A158479
- Expansion of 1/((1-x)^2*sqrt(1-4x/(1-x)^4)).at n=5A162480
- Numbers n with property that n+41 and n^2+41 are primes.at n=42A175259
- Number of parts in all partitions of 2n+1 that do not contain 1 as a part.at n=14A182735
- Second accumulation array of A185877, by antidiagonals.at n=57A185880