9142
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15696
- Proper Divisor Sum (Aliquot Sum)
- 6554
- 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
- 3912
- Möbius Function
- -1
- Radical
- 9142
- 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
- 60
- 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
- yes
- Odd
- no
Appears in sequences
- Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.at n=15A014073
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T1 atom.at n=12A019199
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=28A020413
- Numbers k such that the k-th Fibonacci number reversed is prime.at n=24A036971
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=36A043088
- Numbers k such that k^256 + 1 is prime.at n=29A056995
- Number of primes less than 10^n with initial digit 2.at n=5A073516
- Numbers n such that every digit occurs at least once in n^3.at n=39A119735
- Multiples of 14 containing a 14 in their decimal representation.at n=28A121034
- The number of times a point sum n is attained in all 7^6 permutations of throwing 7 dice.at n=11A166322
- The number of times a point sum n is attained in all 7^6 permutations of throwing 7 dice.at n=24A166322
- Expansion of (2/(3*sqrt(1-4*z)-1+4*z))*((1-sqrt(1-4*z))/(2*z))^k with k=9.at n=5A172066
- Number of (w,x,y) with all terms in {0,...,n} and w < range{w,x,y}.at n=27A212967
- Triangle of transformations with k monotonic runs.at n=16A225753
- Rounded sums of the non-integer cube roots of n, as partitioned by the integer roots: round(Sum_{j=n^3+1..(n+1)^3-1} j^(1/3)).at n=14A248575
- Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=3A252328
- Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=1A252330
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=11A252334
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8.at n=13A252334
- Expansion of the g.f. (x^2-x+1)*(x^2-3*x+3)/(x-1)^6.at n=13A257890