347
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 348
- 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
- 346
- Möbius Function
- -1
- Radical
- 347
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 69
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- dreihundertsiebenundvierzig· ordinal: dreihundertsiebenundvierzigste
- English
- three hundred forty-seven· ordinal: three hundred forty-seventh
- Spanish
- trescientos cuarenta y siete· ordinal: 347º
- French
- trois cent quarante-sept· ordinal: trois cent quarante-septième
- Italian
- trecentoquarantasette· ordinal: 347º
- Latin
- trecenti quadraginta septem· ordinal: 347.
- Portuguese
- trezentos e quarenta e sete· ordinal: 347º
Appears in sequences
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=18A000837
- 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=16A000928
- Wagstaff numbers: numbers k such that (2^k + 1)/3 is prime.at n=18A000978
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=39A001032
- Union of all numbers {p, q} where p and q are both primes or powers of primes and q = p+2.at n=56A001092
- Twin primes.at n=39A001097
- Primes with primitive root 2.at n=27A001122
- Lesser of twin primes.at n=20A001359
- Numbers k such that phi(k+2) = phi(k) + 2.at n=33A001838
- Cyclic numbers: 10 is a quadratic residue modulo p and class of mantissa is 2.at n=20A001914
- Primes p such that the congruence 2^x == 3 (mod p) is solvable.at n=39A001915
- Primes p such that the congruence 2^x = 5 (mod p) is solvable.at n=36A001916
- Number of filaments with n square cells.at n=10A002013
- Prime determinants of forms with class number 2.at n=33A002052
- Primes of the form 4*k + 3.at n=35A002145
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=50A002155
- Primitive roots that go with the primes in A002230.at n=34A002229
- Primitive roots that go with the primes in A029932.at n=18A002231
- Numbers k such that 17*2^k + 1 is prime.at n=7A002259
- Let p = A007645(n) be the n-th generalized cuban prime and write p^2 = x^2 + 3*y^2 with y > 0; a(n) = x.at n=35A002367