10339
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12084
- Proper Divisor Sum (Aliquot Sum)
- 1745
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8820
- Möbius Function
- 0
- Radical
- 1477
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=39A020413
- a(n) = T(2n-1,n), where T is the array in A026098.at n=46A026102
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 7 (most significant digit on left).at n=47A029452
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones.at n=0A031803
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=39A076449
- (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=26A120884
- 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, 1), (-1, 1, 0), (1, 0, 0), (1, 1, -1)}.at n=11A148026
- a(n) = n^2*(n^2 + 15)/4.at n=14A159833
- a(n) = A030068(4n+3).at n=40A169740
- Number of 10-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=17A186986
- The least number with exactly n ones in the continued fraction of its square root.at n=35A206578
- Concatenation of n-th prime and n-th nonprime.at n=26A253910
- Least integer k>1 such that sqrt(k)/log(k) exceeds n.at n=10A262058
- Number of nX2 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=8A282641
- T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=46A282647
- T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.at n=46A283543
- Numbers k such that 44*10^k + 3 is prime.at n=19A291606
- Triangle, read by rows, where the g.f. of row n equals Product_{k=0..n-1} (1 + (2*k+1)*x + x^2) for n>0 with a single '1' in row 0.at n=52A291845
- Triangle, read by rows, where the g.f. of row n equals Product_{k=0..n-1} (1 + (2*k+1)*x + x^2) for n>0 with a single '1' in row 0.at n=60A291845
- Numbers that are the sum of nine fourth powers in eight or more ways.at n=26A345592