12953
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12954
- 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
- 12952
- Möbius Function
- -1
- Radical
- 12953
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- 1542
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=31A020376
- Numerators of continued fraction convergents to sqrt(94).at n=8A041168
- Numerators of continued fraction convergents to sqrt(376).at n=8A041712
- Number of 3-covers of an unlabeled n-set.at n=14A055195
- Records in A079372.at n=14A079373
- a(1)=2; a(n) for n>1 is the smallest prime number > a(n-1) such that the concatenation of all previous terms is also prime.at n=26A080155
- Primes p = prime(i) such that p(i)# - p(i+1) is prime.at n=15A093078
- Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6.at n=25A119597
- Father primes of order 8.at n=26A136077
- Primes congruent to 38 mod 41.at n=38A142235
- Primes congruent to 10 mod 43.at n=33A142259
- Primes congruent to 28 mod 47.at n=33A142379
- Primes congruent to 17 mod 49.at n=38A142428
- Primes congruent to 21 mod 53.at n=32A142551
- Primes congruent to 28 mod 55.at n=36A142621
- Primes congruent to 32 mod 59.at n=22A142759
- Primes congruent to 21 mod 61.at n=22A142819
- Primes congruent to 38 mod 63.at n=42A142910
- Length of row n of the Kolakoski fan A143477.at n=23A143586
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, 0, 1)}.at n=9A148665