12349
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12636
- Proper Divisor Sum (Aliquot Sum)
- 287
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12064
- Möbius Function
- 1
- Radical
- 12349
- 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
- 112
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions into non-integral powers.at n=41A000327
- Dowling numbers: e.g.f.: exp(x + (exp(b*x) - 1)/b) with b=3.at n=6A003575
- Number of paraffins.at n=36A005998
- Numbers k such that the continued fraction for sqrt(k) has period 91.at n=6A020430
- Numbers whose base-5 representation contains exactly three 3's and three 4's.at n=4A045307
- Smallest number m with nonzero digits such that A046810(m)=n.at n=24A046813
- a(n) is the least integer that has exactly n anagrams that are primes.at n=24A046890
- a(n) is the least number with exactly n permutations of digits that are primes.at n=24A046893
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 23.at n=17A051988
- Triangle, read by rows, where T(n,k) equals the least m>0 that produces the maximum number of partial quotients in the simple continued fraction expansion of (1/n + 1/k + 1/m).at n=43A091943
- Triangle A(r,c) read by rows, which contains the row sums of the triangle T(n,k)= T(n-1,k-1)+((c-1)*k+1)*T(n-1,k) in column c.at n=59A111579
- Ulam's spiral (ESE spoke).at n=28A143855
- a(n) = 441*n + 1.at n=27A158322
- a(n) = 28*n^2 + 1.at n=21A158556
- a(n) = 7*n^2 + 1.at n=42A247541
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2)*b(n), where a(0) = 2, a(1) = 4, b(0) = 1, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.at n=13A296270
- Number of nXn 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=4A306047
- Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=4A306050
- T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=40A306053
- Distance of n-th iteration in an alternating rectangular spiral.at n=36A322108