1648
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
- 10
- Divisor Sum
- 3224
- Proper Divisor Sum (Aliquot Sum)
- 1576
- 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
- 816
- Möbius Function
- 0
- Radical
- 206
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of n-node rooted trees of height 3.at n=13A000235
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=14A001936
- Expansion of 1/((1-x)^3 (1-x^2)^2 (1-x^3) (1-x^4)).at n=13A002626
- Rotatable partitions.at n=33A002722
- The larger of a betrothed pair.at n=3A003503
- Betrothed (or quasi-amicable) numbers.at n=6A005276
- Nim product 2^n * 2^n.at n=10A006017
- a(n) = Sum_{k=1..n-1} k XOR n-k.at n=48A006582
- Coordination sequence T3 for Zeolite Code MOR.at n=26A008184
- Coordination sequence T5 for Zeolite Code NES.at n=26A008209
- Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=41A009929
- Coordination sequence T7 for Zeolite Code TER.at n=27A016439
- a(n) is the concatenation of n and 3n.at n=15A019551
- Ceiling of Gamma(n+1/5)/Gamma(1/5).at n=8A020130
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=27A020367
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=26A026042
- a(n) = n^2 + n + 8.at n=40A027693
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=13A028644
- Number of partitions of n^3 into distinct cubes.at n=34A030272
- 1 together with numbers of the form p*q^4 and p^9, where p and q are distinct primes.at n=35A030628