900
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 2821
- Proper Divisor Sum (Aliquot Sum)
- 1921
- 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
- 240
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- 54
- Smith 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- neunhundert· ordinal: neunhundertste
- English
- nine hundred· ordinal: nine hundredth
- Spanish
- novecientos· ordinal: 900º
- French
- neuf cents· ordinal: neuf centsième
- Italian
- novecento· ordinal: 900º
- Latin
- nongenti· ordinal: 900.
- Portuguese
- novecentos· ordinal: 900º
Appears in sequences
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=48A000114
- Number of binary partitions: number of partitions of 2n into powers of 2.at n=26A000123
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=13A000338
- n followed by n^2.at n=59A000463
- Number of n-node unrooted steric quartic trees; number of n-carbon alkanes C(n)H(2n+2) taking stereoisomers into account.at n=12A000628
- Numbers beginning with letter 'n' in English.at n=12A000981
- Numbers k such that k / (sum of digits of k) is a square.at n=38A001102
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=48A001172
- Squares of partition numbers.at n=9A001255
- Related to Gilbreath conjecture.at n=17A001549
- Perfect powers: m^k where m > 0 and k >= 2.at n=38A001597
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=49A001694
- Numbers in which every digit contains at least one loop (version 1).at n=48A001743
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=54A002088
- Numbers k such that 15*2^k + 1 is prime.at n=20A002258
- Numbers k such that x^k + x + 1 is irreducible over GF(2).at n=21A002475
- Squares and cubes.at n=36A002760
- Number of rooted trees with n nodes and omega-valency 1.at n=10A003120
- Numbers that are the sum of 11 positive 7th powers.at n=7A003378
- Roman numerals with 1 letter, in numerical order; then those with 2 letters, etc.at n=30A003587