2437
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2438
- 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
- 2436
- Möbius Function
- -1
- Radical
- 2437
- 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
- 133
- 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
- 361
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=32A000923
- Numbers k such that phi(2k+1) < phi(2k).at n=31A001837
- Cuban primes: primes which are the difference of two consecutive cubes.at n=15A002407
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=28A003215
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=35A006378
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=17A007996
- a(n) = prime(n^2).at n=18A011757
- Numbers k such that the continued fraction for sqrt(k) has period 51.at n=3A020390
- Smallest nonempty set S containing prime divisors of 5k+2 for each k in S.at n=30A020596
- Smallest nonempty set S containing prime divisors of 10k+4 for each k in S.at n=31A020634
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=43A022891
- Positive numbers k such that k and 3*k are anagrams in base 9 (written in base 9).at n=27A023080
- Largest integer in which every prefix is prime in base n (written in base 10).at n=2A023107
- Primes that remain prime through 2 iterations of function f(x) = 10x + 9.at n=44A023270
- Primes that remain prime through 3 iterations of function f(x) = 10x + 9.at n=15A023301
- a(n) = least m such that if r and s in {1/3, 1/6, 1/9,..., 1/3n} satisfy r < s, then r < k/m < s for some integer k.at n=32A024824
- Coordination sequence T3 for Zeolite Code ITE.at n=34A027371
- Friedlander-Iwaniec primes: Primes of form a^2 + b^4.at n=48A028916
- Positions of record values in A030767.at n=50A030772
- a(n) = prime(9*n-8).at n=40A031918