3337
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
- 4
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 119
- 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
- 3220
- Möbius Function
- 1
- Radical
- 3337
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 66
- 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
- Second pentagonal numbers: a(n) = n*(3*n + 1)/2.at n=47A005449
- Coordination sequence T1 for Zeolite Code ERI and OFF.at n=42A008093
- Coordination sequence T2 for Zeolite Code LTN.at n=40A008141
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=12A020397
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=29A025524
- Numbers whose square has its digits in nondecreasing order.at n=36A028819
- Numbers k such that k^3 has only odd digits.at n=13A030099
- Concatenation of n and n + 4 or {n,n+4}.at n=32A032609
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=24A033568
- Numbers of the form k*(k+1)/6 for k = 2 or 3 modulo 6.at n=47A036499
- Numbers having three 3's in base 10.at n=15A043503
- Numbers n such that string 3,7 occurs in the base 10 representation of n but not of n-1.at n=36A044369
- Numbers n such that string 3,7 occurs in the base 10 representation of n but not of n+1.at n=36A044750
- Indices of pentagonal numbers that are also heptagonal.at n=2A046199
- Sizes of successive balls in D_4 lattice.at n=18A046949
- Coordination sequence T3 for Zeolite Code DON.at n=39A047955
- Composite numbers k such that k!/k# - 1 is prime, where k# = primorial numbers A034386.at n=21A049421
- Concatenate "n" and "nextprime(n)".at n=32A049852
- Numbers k such that k * (1+i)^k + 1 is a Gaussian prime.at n=20A058770
- Numbers n such that n^2*2^n + n*2^((n + 1)/2) + 1 is prime.at n=8A058777