12324
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31360
- Proper Divisor Sum (Aliquot Sum)
- 19036
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 6162
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 156
- 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(1)=3; for n>1, a(n) is smallest positive integer such that a(1)^2+...+a(n)^2 = m^2 for some m.at n=5A018930
- 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 74.at n=24A031572
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 74.at n=2A031752
- a(n) = 4*n*(2*n + 1).at n=39A033586
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=48A036034
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=31A045613
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=26A045946
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=38A053818
- Number of periodic palindromic structures of length n using a maximum of two different symbols.at n=27A056503
- a(1)=3; a(2n), a(2n+1) are smallest integers > a(2n-1) such that a(2n-1)^2+a(2n)^2=a(2n+1)^2.at n=9A077034
- a(n) is the smallest integer such that A080383(a(n)) = n.at n=12A080393
- a(n) = lcm(p-1, p+1) where p is the n-th prime.at n=36A084921
- a(1)=1, a(n) = first index i (> a(n-1)), where A112046(i) gets a value distinct from any values A112046(1)..A112046(a(n-1)).at n=36A112051
- Least number including digits 1,2,...,n and divisible by each of 1,2,...,n.at n=3A120673
- Numbers k such that 5^k mod k = 5^k mod k^2.at n=29A125775
- Numbers k such that k^2 divides 5^k-1.at n=24A127105
- a(1)=3; for n>1, a(n) is least number such that a(n) > a(n-1) and a(1)^2+...+a(n)^2 is a square.at n=5A127689
- Number of maximal directed trails in the labeled n-ladder graph P_2 X P_n.at n=40A135443
- Half the number of (n+1) X 3 binary arrays with equal numbers of majority one 2 X 2 subblocks and majority zero 2 X 2 subblocks.at n=4A184460
- Half the number of (n+1)X6 binary arrays with equal numbers of majority one 2X2 subblocks and majority zero 2X2 subblocks.at n=1A184463