10984
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20610
- Proper Divisor Sum (Aliquot Sum)
- 9626
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5488
- Möbius Function
- 0
- Radical
- 2746
- Omega Function (Ω)
- 4
- 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
- 130
- 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 graphs with n nodes, n edges and no isolated vertices.at n=12A006649
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=38A007811
- Sets of 4 consecutive numbers with equal number of divisors.at n=33A039665
- Square array of numbers T(n,k) = ((1+sqrt(3))*(k+sqrt(3))^n-(1-sqrt(3))*(k-sqrt(3))^n)/(2*sqrt(3)), read by antidiagonals.at n=60A086404
- Main diagonal of number array A086404.at n=5A086406
- a(n) is the minimal area of a convex lattice polygon with 2n sides.at n=41A089187
- Triangle T(n,m) read by rows: matrix product A053121 * A038207.at n=48A096164
- Sum of the sizes of the Durfee squares of all partitions of n.at n=28A115995
- Numbers k such that 2^(k+1) + 3^k is prime.at n=45A123924
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=41A124679
- a(n) = ((3+sqrt(3))*(5+sqrt(3))^n + (3-sqrt(3))*(5-sqrt(3))^n)/6.at n=5A162558
- First of two consecutive numbers with at least one 3 in their prime signature.at n=54A176313
- Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid.at n=14A190102
- Numbers k such that k and k+1 are both of the form p*q^3 where p and q are distinct primes.at n=14A215173
- Numbers whose squares have 2R-1 digits, such that the number represented by leftmost R digits and number represented by rightmost R digits divide each other evenly.at n=11A216233
- Write n in binary and interpret as a decimal number; a(n) is this quantity minus n.at n=26A228071
- Write n in binary and interpret as a decimal number; a(n) is this quantity minus n.at n=27A228071
- Number of parts in all partitions of n with largest multiplicity four.at n=28A320374
- Discriminants of imaginary quadratic fields with class number 38 (negated).at n=31A351676