8979
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 33
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12432
- Proper Divisor Sum (Aliquot Sum)
- 3453
- 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
- 5760
- Möbius Function
- -1
- Radical
- 8979
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 91
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of tan(tan(x)*cosh(x)).at n=3A009703
- 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 93.at n=29A031591
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=32A051892
- Coefficients of a polynomial used in calculation of A055913.at n=11A055916
- McKay-Thompson series of class 45A for Monster.at n=52A058684
- For n > 1, a(n) is the smallest number such that n-th concatenation is prime and the smallest palindrome beginning with (but not equal to) this concatenation is also prime.at n=22A088090
- a(1)=1, a(2)=2. a(n) is the a(n-1)th integer from among those positive integers coprime to a(n-2).at n=24A126881
- Numbers of the form x^2 + y^2 + z^2 = phi(x*y*z) + sigma(x*y*z).at n=20A173792
- Numbers with rounded up arithmetic mean of digits = 9.at n=23A178369
- Numbers m such that the sum of the first k odd primes = m-th odd prime.at n=17A179321
- a(n) = 4*n^2 + 3*n + 2.at n=47A185669
- Number of 6-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions.at n=8A187610
- Inverse permutation to A190126.at n=29A190127
- Numbers that can be formed using its own digits in order and only addition and fourth power operators.at n=19A195672
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210862; see the Formula section.at n=40A210863
- McKay-Thompson series of class 45A for the Monster group with a(0) = 1.at n=52A226054
- Integers k such that A086167(k) and A086168(k) are both prime.at n=39A270563
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood.at n=20A273612
- Maximum starting value of X such that repeated replacement of X with X-ceiling(X/7) requires n steps to reach 0.at n=50A279077
- Triangle read by rows, T(n,k) = binomial(n, k)*hypergeom2F1(k - n, n + 1, k + 2, -2) for n >= 0 and 0 <= k <= n.at n=31A297704