2963
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2964
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2962
- Möbius Function
- -1
- Radical
- 2963
- 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
- 35
- 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
- yes
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 427
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 3, 9, 11 (mod 20) such that 2p+1 is also prime.at n=38A000355
- Lucasian primes: p == 3 (mod 4) with 2*p+1 prime.at n=43A002515
- Safe primes p: (p-1)/2 is also prime.at n=48A005385
- From relations between Siegel theta series.at n=37A006476
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=28A006562
- Number of n-node graphs with no cycles of length less than 5.at n=10A006787
- Coordination sequence T2 for Zeolite Code GOO.at n=37A008112
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=31A020373
- Place where n-th 1 occurs in A023123.at n=46A022785
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=34A023247
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=28A023288
- a(n) = prime(10*n-3).at n=42A031391
- 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 53.at n=14A031551
- Numerator of fraction equal to the continued fraction [ 2, 3, 5, ...prime(n) ].at n=4A036247
- Coordination sequence T11 for Zeolite Code STT.at n=36A038429
- Primes p such that Ramanujan function tau(p) is divisible by 13.at n=25A038543
- Numbers k such that the string 5,2 occurs in the base 9 representation of k but not of k-1.at n=40A044298
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n-1.at n=32A044395
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n+1.at n=32A044776
- Twin A045954's (middle terms) that are primes.at n=40A045961