1323
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 2280
- Proper Divisor Sum (Aliquot Sum)
- 957
- 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
- 756
- Möbius Function
- 0
- Radical
- 21
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=16A000338
- Number of n-node rooted trees of height 5.at n=11A000342
- Smallest natural number requiring n letters in English.at n=34A001166
- Number of letters in English name for n increases at these numbers.at n=25A001619
- Numerators of Cotesian numbers (not in lowest terms): A002176*C(n,2).at n=6A002179
- Numbers of the form 3^i*7^j with i, j >= 0.at n=17A003594
- a(n) = ceiling(1000*log_10(n)).at n=20A004227
- Powers of 3 written in base 12. (Next term contains a non-decimal character.)at n=7A004666
- Coefficients of the '2nd-order' mock theta function A(q).at n=24A006304
- Inverse Moebius transform of triangular numbers.at n=43A007437
- Coordination sequence T2 for Zeolite Code HEU.at n=24A008117
- Number of Barlow packings with group P3(bar)m1(S) that repeat after 2n layers.at n=13A011951
- Number of Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.at n=9A011952
- Expansion of (1+2*x+3*x^2)/((1-x)*(1-x^2)^2).at n=41A014255
- Numbers k that divide s(k), where s(1)=1, s(j)=25*s(j-1)+j.at n=51A014876
- Numbers k such that k divides 4^k - 1.at n=19A014945
- Integers k such that k divides 22^k - 1.at n=25A014959
- Odd numbers k that divide 25^k - 1.at n=23A014962
- Numbers k such that k | 5^k + 1.at n=19A015951
- Coordination sequence T2 for Zeolite Code OSI.at n=24A016431