10406
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17556
- Proper Divisor Sum (Aliquot Sum)
- 7150
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4620
- Möbius Function
- 0
- Radical
- 946
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 179
- 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
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=34A010002
- a(n) is the least k > 0 such that k and 3k are anagrams in base n (written in base 10).at n=40A023095
- Numbers k such that k^2 and k^3 have the same set of digits.at n=13A029797
- Number of partitions satisfying cn(1,5) < cn(0,5) + cn(2,5) + cn(3,5) and cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5).at n=36A039872
- Base-7 palindromes that start with 4.at n=32A043018
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=32A051941
- a(n) = floor( n^Pi ).at n=18A061294
- a(n) is the least number k that A074389(k) = n.at n=21A074390
- Multiples of 11 with digit sum 11, with no zero digits in odd places.at n=11A083512
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=27A085446
- Numbers n such that n*359# +-1 are twin primes, where 359# = 72nd primorial (A002110(72)).at n=9A087907
- a(n) = (3+n)*(2 + 33*n + n^2)/6.at n=30A101860
- Number of permutations of length n which avoid the patterns 1423, 1432, 3241.at n=8A116790
- {2n}_{2n}.at n=50A122642
- Total number of distinct block sizes in all partitions of [n].at n=7A132963
- Row sums of triangle A143102.at n=30A143103
- Expansion of 1/(1 - x - x^2 + x^3 - x^7 + x^9 - x^11).at n=34A147663
- 11 times triangular numbers.at n=43A152740
- Eleven times hexagonal numbers: a(n) = 11*n*(2*n-1).at n=22A154617
- Integer averages of halves of first cubes of natural numbers (n^3)/2 for some n.at n=15A164579