1998
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4560
- Proper Divisor Sum (Aliquot Sum)
- 2562
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 648
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=26A005598
- Number of conjugacy classes in GL(n,2).at n=11A006951
- Coordination sequence T2 for Zeolite Code BIK.at n=27A008048
- Coordination sequence T4 for Zeolite Code DDR.at n=28A008074
- Coordination sequence T7 for Zeolite Code MFS.at n=28A008179
- Coordination sequence T2 for Zeolite Code MTN.at n=27A008187
- Coordination sequence T1 for Zeolite Code NAT.at n=30A008203
- Coordination sequence T1 for Zeolite Code GIS.at n=33A008266
- Let j = | i - i_written_backwards |, k = j + j_written_backwards; then k is in this sequence.at n=24A008920
- Coordination sequence T1 for Zeolite Code WEI.at n=32A009917
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=41A011914
- Expansion of 1 / ((1-x) * (1-3*x) * (1-11*x)).at n=3A016216
- Coordination sequence T7 for Zeolite Code TER.at n=30A016439
- Expansion of 1/((1-2x)(1-4x)(1-5x)(1-7x)).at n=3A025959
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=31A027430
- Cube root of A030683.at n=17A030684
- OR-convolution of squares A000290 with themselves.at n=13A033459
- Schoenheim bound L_1(n,4,3).at n=33A036831
- 3-white numbers: partition digits of n^3 into blocks of 3 starting at right; then sum of these 3-digit numbers equals n.at n=10A037043
- Numerators of continued fraction convergents to sqrt(336).at n=2A041634