973
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1120
- Proper Divisor Sum (Aliquot Sum)
- 147
- 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
- 828
- Möbius Function
- 1
- Radical
- 973
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 98
- Smith 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
Names
- German
- neunhundertdreiundsiebzig· ordinal: neunhundertdreiundsiebzigste
- English
- nine hundred seventy-three· ordinal: nine hundred seventy-third
- Spanish
- novecientos setenta y tres· ordinal: 973º
- French
- neuf cent soixante-treize· ordinal: neuf cent soixante-treizième
- Italian
- novecentosettantatre· ordinal: 973º
- Latin
- nongenti septuaginta tres· ordinal: 973.
- Portuguese
- novecentos e setenta e três· ordinal: 973º
Appears in sequences
- A nonlinear binomial sum.at n=12A000126
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=25A000701
- a(1) = a(2) = 1, a(3) = 4; thereafter a(n) = a(n-1) + a(n-3).at n=17A001609
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=22A002621
- Numbers that are the sum of 5 positive 5th powers.at n=18A003350
- Expansion of e.g.f. 1/(7- Sum_{k=1..6} exp(k*x)).at n=2A004704
- Numbers that are the sum of at most 5 positive 5th powers.at n=53A004845
- Numbers of Twopins positions.at n=13A005683
- Number of n-step spirals on hexagonal lattice.at n=8A006776
- Exponentiation of e.g.f. for primes.at n=5A007446
- Positions where A007600 increases.at n=19A007601
- Coordination sequence T2 for Zeolite Code MEL.at n=20A008151
- Coordination sequence T4 for Zeolite Code RSN.at n=20A009888
- Pisot sequence E(4,25): a(n) = floor(a(n-1)^2/a(n-2)+1/2) for n>1, a(0)=4, a(1)=25.at n=3A010909
- Differences between two positive cubes in exactly 1 way.at n=50A014439
- Numbers n such that phi(n) * sigma(n) + 9 is a perfect square.at n=19A015728
- Positive integers n such that 2^n == 2^7 (mod n).at n=33A015927
- Pseudoprimes to base 43.at n=22A020171
- Pseudoprimes to base 96.at n=7A020224
- Pseudoprimes to base 97.at n=30A020225