2251
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2252
- 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
- 2250
- Möbius Function
- -1
- Radical
- 2251
- 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
- 37
- 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
- 335
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes with 7 as smallest primitive root.at n=20A001126
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=28A001133
- Primes of the form 2^q*3^r*5^s + 1.at n=42A002200
- Numbers that are the sum of 4 positive 6th powers.at n=13A003360
- Primes of the form 2^a + 3^b.at n=37A004051
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=33A004855
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=49A004856
- From relations between Siegel theta series.at n=24A006476
- Coordination sequence T3 for Zeolite Code AFR.at n=36A008021
- Coordination sequence T7 for Zeolite Code MTW.at n=31A008202
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=25A015616
- a(n+1) (n >= 1) is smallest number > a(n) which is the sum of cubes of distinct earlier terms.at n=47A019511
- Primes that remain prime through 2 iterations of function f(x) = 4x + 9.at n=40A023251
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=41A023268
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=8A023282
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=13A023299
- Convolution of A023532 and primes.at n=38A023606
- a(n) = Sum_{k=2..n} k*floor(n/k).at n=51A024917
- Coordination sequence T8 for Zeolite Code MWW.at n=32A024993
- Number of partitions of n into an even number of parts, the least being 6; also, a(n+6) = number of partitions of n into an odd number of parts, each >=6.at n=71A027198