10214
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15324
- Proper Divisor Sum (Aliquot Sum)
- 5110
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5106
- Möbius Function
- 1
- Radical
- 10214
- 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
- 179
- 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
- yes
- Odd
- no
Appears in sequences
- McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=12A007256
- Coefficients in generating function for radius of gyration of the sequence A066158.at n=5A019441
- 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 100.at n=19A031598
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=21A031824
- McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=12A045486
- Numbers k such that k^2 contains exactly 9 different digits.at n=3A054037
- Sum of decimal digits of square of divisors of n equals sum of square of digits of n.at n=36A067344
- a(n) = 5*2^n - 2*n - 4.at n=11A097809
- Number of compositions of n in which the least part is even.at n=21A103420
- McKay-Thompson series of class 12A for the Monster group.at n=12A112147
- McKay-Thompson series of class 6C for the Monster group with a(0) = -6.at n=12A121666
- McKay-Thompson series of class 12A for the Monster group with a(0) = 6.at n=12A186829
- Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having a sum of two, with rows and columns of the latter in lexicographically nondecreasing order.at n=9A227099
- Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order).at n=34A234692
- Number of partitions p of n such that max(p) - (number of parts of p) is not a part of p.at n=33A238545
- Triangular array read by rows, arising from enumeration of binary words containing n 0's and k 1's that avoid the pattern 1011101.at n=47A239103
- Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 7.at n=8A245126
- a(n) is the smallest nonnegative integer such that a(n)! contains a string of exactly n consecutive 6's.at n=8A254501
- Numbers k such that 3*R_k + 10 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A256570
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood.at n=33A272278