10102
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15156
- Proper Divisor Sum (Aliquot Sum)
- 5054
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5050
- Möbius Function
- 1
- Radical
- 10102
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 8.at n=16A022322
- 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=9A031598
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones.at n=14A031832
- Trajectory of 1 under map n->37n+1 if n odd, n->n/2 if n even.at n=24A033974
- Positive numbers having the same set of digits in base 3 and base 10.at n=36A037422
- Numbers whose base-10 representation has exactly 5 runs.at n=1A043641
- a(n) * a(n)_reversed is a palindrome (and a(n) is not palindromic).at n=33A048344
- Numbers whose sum of digits is 4.at n=39A052218
- Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order.at n=16A058944
- a(1) = 1; a(n+1) = a(n) + product of nonzero digits of a(n) when written in base 3. Display sequence in base 3.at n=41A063112
- Coefficients of irreducible polynomials over GF(3) listed in lexicographic order.at n=19A065020
- a(n) = 92 written in base n.at n=2A095576
- a(n) = 92 written in base 15 - n.at n=12A095577
- Numbers n for which there are exactly five k such that n = k + (product of nonzero digits of k).at n=27A096926
- Number of polyominoes consisting of n regular unit octagons.at n=7A103466
- Smaller of number pair whose squares are reversals of each other, with no leading zeros allowed.at n=35A106323
- Quaternary emirpimes.at n=22A114015
- Number of polyominoes consisting of 8 regular unit n-gons.at n=5A120102
- A123896 sorted and duplicates removed.at n=26A123902
- a(n) = 7*n^2 + 14*n + 1.at n=37A131878