353
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 354
- 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
- 352
- Möbius Function
- -1
- Radical
- 353
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 125
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 71
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihundertdreiundfünfzig· ordinal: dreihundertdreiundfünfzigste
- English
- three hundred fifty-three· ordinal: three hundred fifty-third
- Spanish
- trescientos cincuenta y tres· ordinal: 353º
- French
- trois cent cinquante-trois· ordinal: trois cent cinquante-troisième
- Italian
- trecentocinquantatre· ordinal: 353º
- Latin
- trecenti quinquaginta tres· ordinal: 353.
- Portuguese
- trezentos e cinquenta e três· ordinal: 353º
Appears in sequences
- a(n) = floor(n^(3/2)).at n=50A000093
- a(n) = 3*Catalan(n) - Catalan(n-1) - 1.at n=5A000781
- Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) is divisible by p.at n=17A000928
- Number of ways to fold a strip of n blank stamps.at n=7A001011
- Primes with 3 as smallest primitive root.at n=16A001123
- Primes == +-1 (mod 8).at n=31A001132
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=2A001134
- Erroneous version of A056642.at n=5A001199
- Irregular table read by rows: row n lists prime factors of 10^n + 1, with multiplicity.at n=46A001271
- Indices of prime Lucas numbers.at n=21A001606
- Palindromes in base 10.at n=44A002113
- Number of partitions of n with exactly two part sizes.at n=52A002133
- Pythagorean primes: primes of the form 4*k + 1.at n=33A002144
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=52A002155
- Numbers k such that 3*2^k + 1 is prime.at n=15A002253
- Primes congruent to 1 or 2 modulo 4; or, primes of form x^2 + y^2; or, -1 is a square mod p.at n=34A002313
- Minimal integer square root of -1 modulo p, where p is the n-th prime of the form 4k+1.at n=61A002314
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=11A002385
- Numbers k such that (k^2 + k + 1)/19 is prime.at n=15A002643
- Half-quartan primes: primes of the form p = (x^4 + y^4)/2.at n=2A002646