5812
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10178
- Proper Divisor Sum (Aliquot Sum)
- 4366
- 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
- 2904
- Möbius Function
- 0
- Radical
- 2906
- Omega Function (Ω)
- 3
- 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
- 49
- 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 Fielder sequence.at n=12A001649
- Number of partitions of n into at most 8 parts.at n=36A008637
- a(n) = Sum_{k=0..7} binomial(n,k).at n=13A008860
- Number of partitions of n in which the greatest part is 8.at n=44A026814
- 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 38.at n=34A031536
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=22A031808
- Numbers whose set of base-12 digits is {3,4}.at n=21A032836
- Numbers k such that s(k) + s(k+1) + ... + s(k+7) = t(k) + t(k+1) + ... + t(k+7).at n=8A033914
- a(n) = 2^n - C(n,0) - C(n,1) - ... - C(n,5).at n=13A035038
- Number of partitions of n into parts not of the form 25k, 25k+6 or 25k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=31A036005
- Base-6 palindromes that start with 4.at n=31A043013
- Numbers k such that 60*R_k + 7 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=26A056657
- Apply inverse of "INVERT" transform to primes with prime exponents.at n=19A058315
- Positive numbers whose product of digits is 5 times their sum.at n=40A062382
- Numbers k such that phi(k) divides (sigma(k+2) + sigma(k-2)).at n=37A067245
- Number of log-concave paths of length n starting from the origin (0,0) with steps from {N=(0,1), E=(1,0) and S=(0,-1)} that stay in the second octant and never touch the line y=x except possibly at the beginning or the end.at n=14A079280
- Reversal of the binomial transform of the Whitney triangle A004070 (see A131250), triangle read by rows, T(n,k) for 0 <= k <= n.at n=62A097750
- Unicode codes for the lunation runes, used in certain medieval Scandinavian perpetual calendar staves as golden numbers 1-19.at n=5A098476
- Expansion of (sqrt(1 - 4*x) + (1 - 2*x))/(2*(1 - 4*x)).at n=7A114121
- Expansion of ((1 + x - 2x^2) + (1+x)*sqrt(1-4x^2))/(2(1-4x^2)).at n=14A116406