1963
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2128
- Proper Divisor Sum (Aliquot Sum)
- 165
- 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
- 1800
- Möbius Function
- 1
- Radical
- 1963
- 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
- 81
- 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
- Numbers k such that k! - 1 is prime.at n=17A002982
- Number of achiral planted trees with n nodes.at n=16A005627
- Number of acyclic disubstituted alkanes with n carbon atoms and distinct substituents.at n=7A005960
- Coordination sequence T5 for Zeolite Code MTT.at n=27A008193
- Coordination sequence T1 for Zeolite Code MTW.at n=29A008196
- Coordination sequence T6 for Zeolite Code MTW.at n=29A008201
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=35A011902
- exp(arcsin(arcsin(x)))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+49/5!*x^5...at n=7A012063
- sinh(arcsin(arcsin(x)))=x+3/3!*x^3+49/5!*x^5+1963/7!*x^7+146017/9!*x^9...at n=3A012068
- Number of distinct nonzero absolute values of Sum_{j=1..n} sigma_j * exp(i * Pi * j / n) where sigma_j = +- 1.at n=16A013914
- Powers of fifth root of 15 rounded down.at n=14A018156
- Numbers k such that the continued fraction for sqrt(k) has period 22.at n=41A020361
- Largest value of k for which Golay-Rudin-Shapiro sequence A020986(k) = n.at n=49A020991
- Discriminants of quartic fields with 2 complex conjugates (negated).at n=45A023681
- a(n) = floor( (2nd elementary symmetric function of S(n))/(first elementary symmetric function of S(n)) ), where S(n) = {first n+1 positive integers congruent to 1 mod 3}.at n=50A024219
- Position of numbers of form 3*n^2 in A025060 (numbers of form j*k + k*i + i*j, where 1 <=i < j < k).at n=22A025064
- Numbers having period-2 7-digitized sequences.at n=39A031202
- Numbers each of whose runs of digits in base 12 has length 2.at n=17A033010
- Numbers whose base-12 expansion has no run of digits with length < 2.at n=29A033025
- Coordination sequence T2 for Zeolite Code SBS.at n=35A033609