10300
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
- 18
- Divisor Sum
- 22568
- Proper Divisor Sum (Aliquot Sum)
- 12268
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4080
- Möbius Function
- 0
- Radical
- 1030
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 148
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=37A023080
- Least k>1 such that reverse complement of first n terms of Kolakoski sequence (A000002) repeats beginning at k-th term.at n=48A025504
- Numbers that can be expressed as the product of two 3-digit numbers in at least one way.at n=4A033829
- a(n) = prime(n)*prime(n+1) - prime(n+1).at n=25A037167
- Numbers having three 0's in base 10.at n=29A043491
- Number of distinct values produced from sums and products of n unity arguments.at n=27A048249
- Numbers whose sum of digits is 4.at n=44A052218
- McKay-Thompson series of class 24I for Monster.at n=26A058579
- Penrice Christmas gift numbers, Card-matching numbers (Dinner-Diner matching numbers): Triangle T(n,k) = number of ways to get k matches for a deck with n cards, 2 of each kind.at n=29A059056
- Card-matching numbers (Dinner-Diner matching numbers).at n=11A059070
- Multiples of 4 whose digits add to 4.at n=14A063997
- a(n) is the unique k such that palindrome A068065(n) = k + reverse(k).at n=14A068910
- Duplicate of A063997.at n=14A069539
- a(n) = (3*n+1)*(3*n+4).at n=33A085001
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=31A115176
- Numbers n such that n is divisible by (3*s(n)*s(n)+2), where s(n) = sum of digits of n.at n=37A134556
- Numbers k such that k and k^2 use only the digits 0, 1, 3, 6 and 9.at n=45A136850
- McKay-Thompson series of class 24I for the Monster group with a(0) = 2.at n=26A138688
- Numbers k such that there are 9 digits in k^2 and for each factor f of 9 (1,3) the sum of digit groupings of size f is a square.at n=18A153747
- Sum of cube of digits is sum of digits of cube.at n=40A165551