4237
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
- 4480
- Proper Divisor Sum (Aliquot Sum)
- 243
- 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
- 3996
- Möbius Function
- 1
- Radical
- 4237
- 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
- 33
- 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
- Number of unrooted achiral trees with n nodes.at n=28A003244
- Coordination sequence T2 for Zeolite Code MAZ.at n=45A008145
- Coordination sequence T3 for Zeolite Code STI.at n=44A008236
- Pseudoprimes to base 39.at n=14A020167
- Strong pseudoprimes to base 39.at n=6A020265
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=6A020423
- Expansion of Product_{m>=1} (1+q^m)^(-19).at n=4A022614
- Coordination sequence T8 for Zeolite Code MWW.at n=43A024993
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=25A025118
- a(n) = A026626(2*n, n-1).at n=6A026628
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=12A031806
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=17A031896
- Numbers k such that 89*2^k+1 is prime.at n=11A032394
- a(n) = n*(2*n^2 - 3*n + 4)/3.at n=19A037235
- Number of partitions of n into a prime number of parts.at n=34A038499
- A B2-sequence due to Rachel Lewis.at n=48A046185
- Convolution of A000108 (Catalan) with A000351 (powers of 5).at n=5A046714
- Largest number m with A046805(m) = n.at n=40A046806
- Numbers n such that 141*2^n-1 is prime.at n=14A050596
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=23A051965