12473
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12474
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12472
- Möbius Function
- -1
- Radical
- 12473
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 200
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1488
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Convolved Fibonacci numbers.at n=12A001628
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=29A020376
- Number of ternary codes of length 4 with n words.at n=6A034216
- Number of ternary codes (not necessarily linear) of length n with 6 words.at n=3A034226
- Numbers whose base-5 representation contains exactly three 3's and three 4's.at n=8A045307
- a(n) is the least odd number of the form p + k^2 with p prime and k > 0 which can be represented in exactly n different ways.at n=39A059400
- Bisection of Fibonacci triangle A037027: even-indexed members of column sequences of A037027 (not counting leading zeros).at n=38A060920
- Third column (m=2) of triangle A060920 (bisection of Fibonacci triangle, even part).at n=6A061178
- Least number which may be expressed as the sum of a prime number and a nonzero square in exactly n different ways.at n=38A064283
- Numbers k such that there are no prime numbers between reverse(k) and 3*k.at n=7A074815
- n^2-79*n+1601 as n runs through the lucky numbers.at n=31A087867
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=35A088483
- Duplicate of A089117.at n=12A089100
- Convoluted convolved Fibonacci numbers G_j^(4).at n=12A089117
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=29A097434
- Largest of five consecutive primes the sum of the digits of each of which is prime.at n=31A106717
- Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n and having k weak ascents (1 <= k <= ceiling(n/3)).at n=46A114711
- Primes of the form p^2 + q^10 where p and q are primes.at n=9A122716
- a(n) = 104*n + 9977.at n=24A126978
- Numbers n such that (26^n - 1)/25 is prime.at n=4A127999