8793
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12714
- Proper Divisor Sum (Aliquot Sum)
- 3921
- 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
- 5856
- Möbius Function
- 0
- Radical
- 2931
- 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
- 127
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of critical exponent for walks on tetrahedral lattice.at n=8A007180
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=24A011939
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=16A020427
- Lucky numbers that are decimal concatenations of n with n + 6.at n=10A032656
- Numbers n such that both n^4 + 2 and n^4 - 2 are prime.at n=37A071351
- Interprimes which are of the form s*prime, s=9.at n=26A075284
- Positive integers k such that k!!! - 1 = A007661(k) - 1 is prime.at n=18A084438
- a(1)=2; a(n) = the reversal of (a(n-1) * maxdigit(a(n-1))).at n=4A121059
- A106486-encodings of combinatorial games equivalent to game {0|1}.at n=39A125997
- Numbers k such that k divides 1 plus the sum of the first k primes.at n=14A128165
- 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, 0, 0), (1, -1, 0), (1, 1, 0)}.at n=8A149514
- Triangle T(n,k) = Sum_{j=0..k} Stirling1(n, n-j)*binomial(n,j), read by rows.at n=38A176153
- Numbers n such that 10^n - 53 is prime.at n=16A178430
- a(n) = 4*n^3 + 5.at n=14A243762
- Expansion of Product_{k>=1} 1/(1-x^(3*k-2))^k.at n=39A262877
- Number of n X 3 binary arrays with rows lexicographically nondecreasing and columns lexicographically nondecreasing and row sums nondecreasing and column sums nonincreasing.at n=14A266930
- Number of n X 3 arrays containing 3 copies of 0..n-1 with every element equal to or 1 greater than any north neighbor modulo n and the upper left element equal to 0.at n=8A267748
- Triangle read by rows: T(n,k) is the number of bargraphs of semiperimeter n having k levels. A level in a bargraph is a maximal sequence of two or more adjacent horizontal steps; it is preceded and followed by either an up step or a down step.at n=31A273344
- Expansion of Sum_{i>=0} x^(2^i)/(1 - x^(2^i)) / Product_{j>=0} (1 - x^(2^j)).at n=42A281688
- First 4-digit number to appear n times in the decimal expansion of e.at n=2A290644