10410
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25056
- Proper Divisor Sum (Aliquot Sum)
- 14646
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2768
- Möbius Function
- 1
- Radical
- 10410
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 29
- 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 k such that the least term in the periodic part of the continued fraction for sqrt(k) is 34.at n=5A031712
- Numbers k such that 207*2^k + 1 is prime.at n=41A032480
- Numbers whose base-2 representation has exactly 12 runs.at n=24A043579
- Number of graphs with loops (symmetric relations) with n edges.at n=9A053419
- Numbers k such that prime(k) + prime(k+1) is a square.at n=30A064397
- Sum of odd-indexed primes.at n=46A077131
- Indices of prime numbers in A014260.at n=17A101762
- 4-Smith numbers.at n=5A103125
- Number of partitions of n having no doubletons. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] of 18 has two doubletons, shown between parentheses).at n=38A116645
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=36A132746
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=29A135441
- a(n) = Sum_{k=0..n/2} k*binomial(n-2*k, 3*k+2).at n=18A137361
- First differences of harmonic (or Ore) numbers A001599.at n=11A153789
- a(n) = 36*n^2 + 6.at n=16A158479
- Bisect A053445 then calculate the first differences of the resulting sequence.at n=32A160643
- Number of binary strings of length n with equal numbers of 01001 and 01010 substrings.at n=14A164257
- (100^n,1) Pascal triangle.at n=25A164847
- Denominators of Bernoulli numbers which are == 6 (mod 9).at n=35A218755
- Expansion of Product_{k>=1} ((1 + k*x^k) / (1 + x^k)).at n=25A268500
- g_n(16) where g is the weak Goodstein function defined in A266202.at n=15A271992