8442
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21216
- Proper Divisor Sum (Aliquot Sum)
- 12774
- 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
- 2376
- Möbius Function
- 0
- Radical
- 2814
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 171
- 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
- Number of partitions of n into at most 6 parts.at n=49A001402
- a(n) = n*(13*n + 1)/2.at n=36A022271
- a(n) = Sum{T(i,j)}, 0<=i<=n, 0<=j<=i, T given by A026714.at n=10A026723
- Number of ways to partition n elements into pie slices each with an odd number of elements allowing the pie to be turned over.at n=26A032277
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=40A061428
- a(n) = A077696(n+1)/A077696(n).at n=12A077697
- Main diagonal of array A082224.at n=46A082227
- a(n) is the absolute value of p minus A004086(p), where (p-2,p) is the n-th pair of twin primes.at n=42A088490
- Numbers n such that 8*10^n + 4*R_n - 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=14A103079
- Integer part of the area of consecutive prime sided tetragons with one right angle.at n=23A105270
- a(n) = (n+1)*(n+2)*(n+3)*(13*n^3 + 69*n^2 + 113*n + 60)/360.at n=6A108649
- The difference between the largest part and the smallest part summed over all those partitions of n in which every integer from the smallest part to the largest part occurs.at n=43A117471
- "666" in bases 7 and higher rewritten in base 10.at n=30A121205
- Number of n-bead two-color bracelets with 00 prohibited.at n=25A129526
- Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7.at n=24A135192
- Ulam's spiral (NNW spoke).at n=23A143860
- 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, 0, 0), (0, 0, 1), (1, -1, 0), (1, 1, -1)}.at n=9A148453
- Number of partitions of n^2 into parts smaller than n.at n=7A161407
- (1,[99n+1]) Pascal Triangle.at n=49A172179
- G.f. satisfies A(x)/A(x^2) = (1 + 9x + 9x^2 + 9x^3 + ...).at n=14A176201