1333
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1408
- Proper Divisor Sum (Aliquot Sum)
- 75
- 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
- 1260
- Möbius Function
- 1
- Radical
- 1333
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 114
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Central polygonal numbers: a(n) = n^2 - n + 1.at n=37A002061
- Endpoints in trees with n nodes.at n=10A003228
- Numbers that are the sum of 6 positive 5th powers.at n=35A003351
- Degrees of irreducible representations of Janko group J4.at n=1A003907
- Degrees of irreducible representations of Janko group J4.at n=2A003907
- Primes written in base 4.at n=30A004678
- Pseudoprimes to base 6.at n=8A005937
- Hyperperfect numbers: k = m*(sigma(k) - k - 1) + 1 for some m > 1.at n=4A007592
- Coordination sequence T1 for Zeolite Code AWW.at n=26A008045
- Composite but smallest prime factor >= 17.at n=43A008367
- Coordination sequence T2 for Zeolite Code RUT.at n=24A009898
- a(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=11A010003
- Pseudoprimes to base 36.at n=16A020164
- Pseudoprimes to base 37.at n=29A020165
- Pseudoprimes to base 87.at n=15A020215
- Pseudoprimes to base 92.at n=23A020220
- Strong pseudoprimes to base 36.at n=6A020262
- Strong pseudoprimes to base 37.at n=6A020263
- Strong pseudoprimes to base 87.at n=5A020313
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=17A020367