9678
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19368
- Proper Divisor Sum (Aliquot Sum)
- 9690
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3224
- Möbius Function
- -1
- Radical
- 9678
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 166
- 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
- Numbers k such that 93*2^k+1 is prime.at n=28A032396
- Base-5 palindromes that start with 3.at n=39A043008
- Numbers k such that k^18 == 1 (mod 19^3).at n=24A056089
- Number of decimal digits in A001042.at n=17A064236
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=2A077096
- Positions where values change in A100144.at n=48A100250
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=44A102532
- Numbers k such that 7*10^k + 3*R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A103055
- Expansion of eta(q^3) * eta(q^33) / ( eta(q)* eta(q^11)) in powers of q.at n=42A128663
- Admirable numbers in the middle of twin primes.at n=28A135502
- Numbers k such that k^2 == 2 (mod 23^2).at n=36A156849
- Averages of twin prime pairs which can be represented as a sum of three consecutive of such pair averages.at n=13A160917
- Numbers n such that 9n^2 is a zeroless pandigital number.at n=27A162859
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=27A171179
- G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)^n equals (2*n)!^2/n!^4, the square of the central binomial coefficients (A000984), for n>=0.at n=6A232606
- Number of partitions of n with the property that if two summands have the same parity, then their frequencies have the same parity.at n=41A240949
- Triangle read by rows: T(n,k) (n>=1, 0<=k<n) is the number of permutations of n things that require k stack-sorts.at n=32A262494
- Number of bracelets (turnover necklaces) of length n that have no reflection symmetry and consist of 6 white beads and n-6 black beads.at n=21A308401
- Numbers of the form prime(i-1)+prime(i+1) that are the average of a twin prime pair.at n=35A342993