103
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 4
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 104
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 102
- Möbius Function
- -1
- Radical
- 103
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 87
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 27
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- einshundertdrei· ordinal: einshundertdreiste
- English
- one hundred three· ordinal: one hundred third
- Spanish
- ciento tres· ordinal: 103º
- French
- cent trois· ordinal: cent troisième
- Italian
- centotre· ordinal: 103º
- Latin
- centum tres· ordinal: 103.
- Portuguese
- cento e três· ordinal: 103º
Appears in sequences
- Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.at n=48A000028
- Local stops on New York City 1 Train (Broadway-7 Avenue Local) subway.at n=13A000053
- Local stops on New York City A line subway.at n=11A000054
- Primes that divide at least one term in every Fibonacci sequence.at n=7A000057
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=51A000069
- a(n) = floor(n^(3/2)).at n=22A000093
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=32A000134
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=63A000201
- a(8i+j) = 13i + a(j), where 1<=j<=8.at n=63A000202
- A Beatty sequence: floor(n*(e-1)).at n=59A000210
- Primes and squares of primes.at n=30A000430
- n written in base where place values are positive cubes.at n=30A000433
- n-th superior highly composite number A002201(n) is product of first n terms of this sequence.at n=43A000705
- Boustrophedon transform of primes.at n=4A000747
- Numbers that are not the sum of 4 tetrahedral numbers.at n=7A000797
- Numbers beginning with a vowel in English.at n=17A000852
- Numbers ending with a vowel in American English.at n=49A000861
- Numbers beginning with letter 'o' in English.at n=4A000865
- a(2n) = n+2, a(2n-1) = smallest number requiring n+2 letters in English.at n=30A000916
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=6A000921