10029
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13376
- Proper Divisor Sum (Aliquot Sum)
- 3347
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6684
- Möbius Function
- 1
- Radical
- 10029
- Omega Function (Ω)
- 2
- 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
- 42
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 66.at n=35A031564
- Composite numbers whose prime factors contain no digits other than 3 and 4.at n=17A036314
- Representative lunar primes.at n=38A088574
- n^4 + n-th prime.at n=9A089621
- Numbers n such that (6^n-1)^2-2 is prime.at n=15A100901
- Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime.at n=33A100953
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=33A123987
- First gap of length at least n in A137292, lower end.at n=6A138845
- Number of ordered set partitions of the multiset [a,a,1,1,...,1] with two "a" and n "1".at n=17A209633
- Number of (n+1)X(2+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=2A233047
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=8A233049
- Number of (3+1)X(n+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..3+1} nondecreasing.at n=1A233052
- Magic constants of the magic cubes 3 X 3 X 3 composed of prime numbers.at n=15A239671
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 302", based on the 5-celled von Neumann neighborhood.at n=31A271158
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=35A283889
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10000) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=36A283889
- Relative of Hofstadter Q-sequence.at n=33A283891
- Relative of Hofstadter Q-sequence.at n=31A283892
- a(n) gives the length of A306211 after n generations.at n=19A306215
- a(n) is the number of unlabeled rank-3 graded lattices with 4 coatoms and n atoms.at n=24A322599