10409
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11904
- Proper Divisor Sum (Aliquot Sum)
- 1495
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8916
- Möbius Function
- 1
- Radical
- 10409
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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 period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=33A031822
- Numbers k such that 69*2^k+1 is prime.at n=21A032384
- Positive numbers having the same set of digits in base 8 and base 9.at n=43A037441
- Surround numbers of a length 2n zig-zag.at n=28A060641
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=34A088728
- Interpolate 0's between each pair of digits of n-th prime.at n=34A092909
- Iccanobirt prime indices (12 of 15): Indices of prime numbers in A102122.at n=19A102142
- Total number of all distinct cycle sizes in all permutations of [n].at n=6A132961
- Generalized Lucas-Pascal triangle: (101*100^n,1).at n=18A164855
- Row sums of exponential Riordan array [1+x*arctanh(x), x], A166357.at n=8A166358
- Numbers n such that 41#*2^n-1 is prime, where # denotes the primorial, A002110.at n=68A176061
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 3,4,2,2,1,0,2 for x=0,1,2,3,4,5,6.at n=5A197935
- G.f.: q-cosh(x) evaluated at q=-x.at n=40A198201
- Number of partitions p of n such that max(p)-min(p) = 8.at n=37A218571
- Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.at n=3A232311
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.at n=18A232316
- Number of (4+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero.at n=2A232320
- Number of length 3 1..(n+1) arrays with every leading partial sum divisible by 2, 3, 5, 7 or 11.at n=26A254950
- Sum of the squares of the smaller parts of the partitions of 2n into two squarefree parts.at n=37A280320
- Semiprimes of the form k^2 + 5.at n=34A361696