10234
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19008
- Proper Divisor Sum (Aliquot Sum)
- 8774
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 1
- Radical
- 10234
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- Positive numbers k such that k and 4*k are anagrams in base 7 (written in base 7).at n=5A023070
- a(n) = floor(exp(17/24)*n!).at n=6A030801
- Numbers with exactly five distinct base-10 digits.at n=0A031987
- Integers which have more distinct digits than any smaller number.at n=4A038378
- Number of anagrams of a(n) that are prime increases.at n=11A046888
- a(n) is the least integer that has exactly n anagrams that are primes.at n=16A046890
- a(n) is the least number with exactly n permutations of digits that are primes.at n=20A046893
- Smallest number k such that x/(sum of digits of x) = k has exactly n solutions.at n=17A058913
- G.f.: (1+3*x+2*x^2)/((1-x)*(1-2*x^2)).at n=21A063757
- a(n) is the (n+1)st (n+2)-gonal number.at n=27A064808
- Numbers divisible by the sum of factorials of their digits [A061602(n)] and also terminate in the sum of factorials of their digits.at n=7A071064
- One-sixth the area of the smallest primitive d-arithmetic triangle, where d=A072330(n).at n=31A072360
- Numbers n such that (i) the largest prime factor of n is not a palindrome and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed.at n=9A074301
- Smallest number k such that there are exactly n relatively prime numbers using all digits of k.at n=39A075604
- Least number whose digits can be used to form exactly n different primes (not necessarily using all digits).at n=36A076449
- Min{k: A086066(k) = n}.at n=30A086068
- Records in A086068.at n=11A086069
- Number of 4k+3 primes whose Legendre-vector is a Dyck-path (A095102) in range ]2^n,2^(n+1)].at n=19A095092
- Number of A080114-primes in range ]2^n,2^(n+1)].at n=19A095094
- Numbers which are the sum of two positive cubes and divisible by 17.at n=10A099178