363
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 532
- Proper Divisor Sum (Aliquot Sum)
- 169
- 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
- 220
- Möbius Function
- 0
- Radical
- 33
- Omega Function (Ω)
- 3
- 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
- 45
- 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
- dreihundertdreiundsechzig· ordinal: dreihundertdreiundsechzigste
- English
- three hundred sixty-three· ordinal: three hundred sixty-third
- Spanish
- trescientos sesenta y tres· ordinal: 363º
- French
- trois cent soixante-trois· ordinal: trois cent soixante-troisième
- Italian
- trecentosessantatre· ordinal: 363º
- Latin
- trecenti sexaginta tres· ordinal: 363.
- Portuguese
- trezentos e sessenta e três· ordinal: 363º
Appears in sequences
- Number of n-celled free polyominoes without holes.at n=8A000104
- a(n) = floor(n^2/3).at n=33A000212
- a(n) = numerator of harmonic number H(n) = Sum_{i=1..n} 1/i.at n=6A001008
- Expansion of (psi(x^2) / psi(-x))^3 in powers of x where psi() is a Ramanujan theta function.at n=7A001937
- Palindromes in base 10.at n=45A002113
- Numerator of the n-th harmonic number H(n) divided by (n+1); a(n) = A001008(n) / ((n+1)*A002805(n)).at n=6A002547
- Numbers k such that (k^2 + 1)/10 is prime.at n=34A002733
- a(n) = n + Sum_{k=1..n} pi(k), where pi() = A000720.at n=42A002815
- Number of n-step self-avoiding walks on a cubic lattice with a first step along the positive x, y, or z axis.at n=3A002902
- Numbers of the form 3^i*11^j.at n=11A003597
- Add 4, then reverse digits; start with 0.at n=30A003608
- a(n) = floor(100*log(n)).at n=37A004237
- Divisible only by primes congruent to 3 mod 8.at n=37A004626
- Powers of 3 written in base 8.at n=5A004662
- Powers of 3 written in base 26. (Next term contains a non-decimal digit.)at n=7A004668
- Numbers whose binary expansion ends in 011.at n=44A004769
- If k appears so do 2k+2 and 3k+3. (duplicates omitted.)at n=47A005660
- Number of pair-coverings with largest block size 3.at n=44A006185
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=55A006509
- Oscillates under partition transform.at n=23A007210