2463
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3288
- Proper Divisor Sum (Aliquot Sum)
- 825
- 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
- 1640
- Möbius Function
- 1
- Radical
- 2463
- 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
- 208
- 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
- Cubes written in base 8.at n=10A004638
- In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1.at n=22A006877
- Coordination sequence T5 for Zeolite Code CON.at n=35A009872
- Coordination sequence T2 for Zeolite Code VET.at n=30A009903
- Number of partitions of n that do not contain 5 as a part.at n=28A027339
- 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 15.at n=22A031513
- Integer part of decimal 'base-2 looking' numbers divided by their actual base-2 values (denominator of a(n) is n, numerator is n written in binary but read in decimal).at n=40A032532
- Coordination sequence T4 for Zeolite Code SBS.at n=39A033611
- In the '3x+1' problem, these values for the starting value set new records for number of steps to reach 1.at n=16A033958
- Coordination sequence T2 for Zeolite Code ESV.at n=33A038410
- Numbers whose base-7 representation contains exactly three 1's.at n=31A043399
- Numbers having three 3's in base 9.at n=14A043467
- Numbers whose base-3 representation has exactly 8 runs.at n=2A043588
- Numbers whose number of runs in base 3 is congruent to 1 (mod 7).at n=16A043792
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 8.at n=2A043798
- Numbers n such that number of runs in the base 3 representation of n is congruent to 8 mod 9.at n=2A043814
- Numbers k such that number of runs in the base 3 representation of k is congruent to 8 mod 10.at n=2A043823
- Numbers n such that string 3,6 occurs in the base 9 representation of n but not of n-1.at n=33A044284
- Numbers n such that string 6,3 occurs in the base 10 representation of n but not of n-1.at n=26A044395
- Numbers n such that string 3,6 occurs in the base 9 representation of n but not of n+1.at n=33A044665