7947
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
- 5
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11492
- Proper Divisor Sum (Aliquot Sum)
- 3545
- 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
- 5292
- Möbius Function
- 0
- Radical
- 2649
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Number of partitions of n, with three kinds of 1 and 2 and two kinds of 3,4,5,....at n=13A000714
- Expansion of Product_{m>=1} 1/(1 - m*q^m)^9.at n=5A022733
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 4 (most significant digit on right).at n=6A029497
- 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 89.at n=2A031587
- Composite numbers whose prime factors contain no digits other than 3 and 8.at n=15A036317
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=26A048130
- Card-matching numbers (Dinner-Diner matching numbers).at n=19A059060
- Card-matching numbers (Dinner-Diner matching numbers).at n=26A059066
- Numbers k such that 6^k+5^(k-1) is prime.at n=19A093765
- Numbers n such that the partition function A000041(k) is even and odd the same number of times for 0 <= k <= n.at n=5A098936
- Sum of the prime(n) primes following prime(n).at n=14A099274
- Number of permutations of length n which avoid the patterns 312, 1324, 3421; or avoid the patterns 312, 1324, 2341, etc.at n=21A116722
- Numbers of the form 26+p^2 (where p is a prime).at n=23A138689
- Expansion of 1/(1 + x - x^2 - 3*x^3 - x^4 + x^5 + x^6).at n=36A147592
- Number of nondecreasing integer sequences of length 13 with sum zero and sum of absolute values 2n.at n=12A158147
- Sum of binomial numbers A000332(k+3), with k in the reduced residue system modulo n.at n=17A192000
- Number of n X 5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to 2.at n=11A197058
- Number of partitions p of n not containing floor((min(p) + max(p))/2) as a part.at n=33A238483
- Number of partitions of n such that there is exactly one part which occurs three times, while all other parts occur only once.at n=54A265251
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 782", based on the 5-celled von Neumann neighborhood.at n=30A273536