2361
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3152
- Proper Divisor Sum (Aliquot Sum)
- 791
- 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
- 1572
- Möbius Function
- 1
- Radical
- 2361
- 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
- 58
- 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
- Coordination sequence T1 for Zeolite Code AEL.at n=32A008004
- Coordination sequence T3 for Zeolite Code EMT.at n=40A008088
- Coordination sequence T1 for Zeolite Code HEU.at n=32A008116
- If a, b in sequence, so is ab+5.at n=33A009304
- Apply partial sum operator 4 times to binary rooted tree numbers.at n=9A014171
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=3A020393
- Numbers k such that Fibonacci(k) == -2 (mod k).at n=37A023163
- Coordination sequence T5 for Zeolite Code MWW.at n=33A024990
- T(2n,n+1), T given by A026780.at n=5A026894
- a(n) = n^2 + n + 9.at n=48A027694
- Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^3.at n=40A029840
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 32.at n=11A031530
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 22 ones.at n=21A031790
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=25A033499
- Coordination sequence T1 for Zeolite Code SBT.at n=39A033612
- Numbers for which the sum of reciprocals of digits is an integer.at n=39A034708
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=40A036026
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0,3.at n=5A037730
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=28A039833
- a(n)=(s(n)+6)/9, where s(n)=n-th base 9 palindrome that starts with 3.at n=39A043074