457
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 458
- 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
- 456
- Möbius Function
- -1
- Radical
- 457
- 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
- 128
- 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
- 88
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- vierhundertsiebenundfünfzig· ordinal: vierhundertsiebenundfünfzigste
- English
- four hundred fifty-seven· ordinal: four hundred fifty-seventh
- Spanish
- cuatrocientos cincuenta y siete· ordinal: 457º
- French
- quatre cent cinquante-sept· ordinal: quatre cent cinquante-septième
- Italian
- quattrocentocinquantasette· ordinal: 457º
- Latin
- quadringenti quinquaginta septem· ordinal: 457.
- Portuguese
- quatrocentos e cinquenta e sete· ordinal: 457º
Appears in sequences
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=21A000921
- Euclid-Mullin sequence: a(1) = 2, a(n+1) is smallest prime factor of 1 + Product_{k=1..n} a(k).at n=39A000945
- Numbers k such that sum of squares of k consecutive integers >= 1 is a square.at n=50A001032
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=31A001033
- Primes == +-1 (mod 8).at n=41A001132
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=4A001136
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=52A001302
- Number of 5-line partitions of n.at n=10A001452
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=21A001682
- Pythagorean primes: primes of the form 4*k + 1.at n=42A002144
- 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=43A002313
- Primes of the form 6m + 1.at n=41A002476
- A generalized partition function.at n=9A002601
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=25A002644
- Number of unrooted triangulations of the disk with n interior nodes and 3 nodes on the boundary.at n=6A002713
- Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m).at n=48A003052
- Number of indecomposable self-dual binary codes of length 2n.at n=15A003178
- Inert rational primes in Q(sqrt(-5)).at n=46A003626
- Primes congruent to 2 or 3 modulo 5.at n=45A003631
- Discriminants of real quadratic fields with narrow class number 1.at n=40A003655