2365
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3168
- Proper Divisor Sum (Aliquot Sum)
- 803
- 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
- 1680
- Möbius Function
- -1
- Radical
- 2365
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = n^3 + n^2 - 1.at n=12A003777
- a(n) is the number of integers m which take n steps to reach 1 in '3x+1' problem.at n=35A005186
- a(n) = Sum_{k=2..n} n(n-1)...(n-k+1)/k.at n=6A006231
- a(n+1) = a(n)-th composite number, with a(0) = 1.at n=23A006508
- Number of 5-leaf rooted trees with n levels.at n=9A007715
- Coordination sequence T4 for Zeolite Code HEU.at n=32A008119
- Coordination sequence T2 for Banalsite.at n=29A008250
- Coordination sequence T3 for Zeolite Code DFO.at n=37A009877
- Coordination sequence T2 for Zeolite Code ZON.at n=34A009920
- Triangle of multi-edge stars with n edges by cyclotomic index.at n=69A010358
- sec(arctanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+37/4!*x^4+260/5!*x^5...at n=6A012719
- Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples.at n=16A015639
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=26A015728
- Coordination sequence T1 for Zeolite Code SAO.at n=38A019571
- Pseudoprimes to base 87.at n=20A020215
- Numbers k such that k*(k+2) is a palindrome.at n=14A028503
- Numbers having period-3 7-digitized sequences.at n=40A031203
- Lucky numbers with size of gaps equal to 10 (upper terms).at n=25A031893
- Lucky numbers with size of gaps equal to 14 (lower terms).at n=12A031896
- Sort then Add, a(1)=13.at n=8A033897