9858
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
- 16
- Divisor Sum
- 20736
- Proper Divisor Sum (Aliquot Sum)
- 10878
- 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
- 3120
- Möbius Function
- 1
- Radical
- 9858
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 42
- 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 whose sum of divisors is a fourth power.at n=20A019422
- Number of ternary rooted trees with n nodes and height exactly 6.at n=15A036421
- T(n,n-3), array T as in A054110.at n=28A054112
- Numbers k such that k | sigma_3(k) - phi(k)^3.at n=14A055697
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=20A060822
- Binomial transform of Chebyshev coefficients A006974.at n=5A081280
- Square array of binomial transforms of Chebyshev polynomial coefficients.at n=50A081281
- Numbers k such that if P = 10*k^2+1, then P, P+6, P+12 and P+18 are all primes.at n=29A092446
- Number of Type 4^E Euclidean self-dual codes over GF(4) of length 2n, excluding those of Type 4^E_{II}.at n=7A106158
- Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.at n=18A114169
- Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers.at n=22A117313
- Aliquot sequence starting at 3630.at n=4A143930
- 3 times 9-gonal (or nonagonal) numbers: a(n) = 3*n*(7*n-5)/2.at n=31A152759
- Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime.at n=37A154667
- Number of 0..3 arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.at n=6A200866
- T(n,k)=Number of 0..k arrays x(0..n+1) of n+2 elements without any interior element greater than both neighbors or less than both neighbors.at n=42A200871
- Number of 0..n arrays x(0..8) of 9 elements without any interior element greater than both neighbors or less than both neighbors.at n=2A200877
- Conjectured number of digits in highest power of n with no four consecutive identical digits.at n=3A216142
- Numbers n such that n^8 + 1 and (n + 2)^8 + 1 are both prime.at n=28A217972
- Number of n X 1 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random 0..3 n X 1 array.at n=9A218051