2355
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
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3792
- Proper Divisor Sum (Aliquot Sum)
- 1437
- 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
- 1248
- Möbius Function
- -1
- Radical
- 2355
- Omega Function (Ω)
- 3
- 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
- 32
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 that are the sum of 5 positive 5th powers.at n=42A003350
- 4-dimensional analog of centered polygonal numbers.at n=8A006323
- Coordination sequence T3 for Zeolite Code ATS.at n=35A008040
- Coordination sequence T1 for Zeolite Code MEL.at n=31A008150
- Powers of cube root of 6 rounded to nearest integer.at n=13A017992
- Powers of cube root of 6 rounded up.at n=13A017993
- a(n) = n*(21*n-1)/2.at n=15A022278
- Base 6 expansion uses each positive digit just once.at n=16A023744
- a(n) = Sum_{k=0..floor((n-5)/2)} T(n,k) * T(n,k+1), with T given by A008315.at n=4A027304
- a(n) = n^2 + n + 3.at n=48A027688
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=25A031892
- Lucky numbers with size of gaps equal to 12 (upper terms).at n=27A031895
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 3 (mod 5).at n=44A035408
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+11 or 24k-11. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=36A036034
- Coordination sequence T5 for Zeolite Code SFF.at n=32A038436
- Numbers whose square is a difference between 2 positive cubes in at least one way.at n=31A038597
- Numbers k such that string 6,3 occurs in the base 8 representation of k but not of k-1.at n=40A044238
- Numbers n such that string 0,6 occurs in the base 9 representation of n but not of n-1.at n=31A044257
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n-1.at n=23A044387
- Numbers n such that string 6,3 occurs in the base 8 representation of n but not of n+1.at n=40A044619