297
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- yes
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 480
- Proper Divisor Sum (Aliquot Sum)
- 183
- 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
- 180
- Möbius Function
- 0
- Radical
- 33
- Omega Function (Ω)
- 4
- 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
- 73
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- zweihundertsiebenundneunzig· ordinal: zweihundertsiebenundneunzigste
- English
- two hundred ninety-seven· ordinal: two hundred ninety-seventh
- Spanish
- doscientos noventa y siete· ordinal: 297º
- French
- deux cent quatre-vingt-dix-sept· ordinal: deux cent quatre-vingt-dix-septième
- Italian
- duecentonovantasette· ordinal: 297º
- Latin
- ducenti nonaginta septem· ordinal: 297.
- Portuguese
- duzentos e noventa e sete· ordinal: 297º
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=17A000041
- Number of mixed Husimi trees with n nodes; or rooted polygonal cacti with bridges.at n=7A000237
- a(n) = 3*(2*n)!/((n+2)!*(n-1)!).at n=6A000245
- Expansion of x^3*(5-2*x)*(1-x^3)/(1-x)^4.at n=7A000338
- Number of multiset permutations of {1, 1, 2, 2, ..., n, n} with no fixed points.at n=4A000459
- Landau's approximation to population of x^2 + y^2 <= 2^n.at n=10A000690
- Number of partitions of n in which no parts are multiples of 3.at n=22A000726
- Number of compositions of n into 3 ordered relatively prime parts.at n=26A000741
- Lucky numbers.at n=55A000959
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=32A001032
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=23A001033
- 10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).at n=9A001107
- Number of partitions of n into at most 4 parts.at n=30A001400
- Expansion of 1/((1+x)*(1-x)^12).at n=3A001808
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=45A002155
- Numbers k such that 15*2^k + 1 is prime.at n=15A002258
- Numbers k such that (k^2 + 1)/10 is prime.at n=30A002733
- The minimal sequence from solving n^3 - m^2 = a(n).at n=47A002938
- Number of n-node trees with a forbidden limb of length 3.at n=12A002989
- Problimes (first definition).at n=53A003066