357
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 576
- Proper Divisor Sum (Aliquot Sum)
- 219
- 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
- 192
- Möbius Function
- -1
- Radical
- 357
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 32
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- dreihundertsiebenundfünfzig· ordinal: dreihundertsiebenundfünfzigste
- English
- three hundred fifty-seven· ordinal: three hundred fifty-seventh
- Spanish
- trescientos cincuenta y siete· ordinal: 357º
- French
- trois cent cinquante-sept· ordinal: trois cent cinquante-septième
- Italian
- trecentocinquantasette· ordinal: 357º
- Latin
- trecenti quinquaginta septem· ordinal: 357.
- Portuguese
- trezentos e cinquenta e sete· ordinal: 357º
Appears in sequences
- Number of 6-dimensional partitions of n.at n=4A000416
- Euler transform of A000389.at n=4A000417
- Euler's "numerus idoneus" (or "numeri idonei", or idoneal, or suitable, or convenient numbers).at n=55A000926
- A self-generating sequence: a(1)=1, a(2)=2, a(n+1) chosen so that a(n+1)-a(n-1) is the first number not obtainable as a(j)-a(i) for 1<=i<j<=n.at n=23A001149
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=21A001182
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25 cents.at n=48A001301
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 25, 50 cents.at n=48A001302
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 50, 100 cents.at n=51A001312
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=44A001463
- Numbers dividing A002037(i) and larger than A002037(i-1), for some i>0.at n=31A002038
- Odd squarefree numbers with an odd number of prime factors that have no prime factors greater than 31.at n=18A002556
- a(n) = (4*n+1)*(4*n+5).at n=4A003185
- a(n) = A000201(A003234(n)) + n.at n=51A003248
- Numbers that are the sum of 7 positive 4th powers.at n=31A003341
- Numbers that are the sum of 12 positive 4th powers.at n=45A003346
- Divisors of 2^24 - 1.at n=27A003532
- Divisors of 2^48 - 1.at n=30A003553
- Primes written in base 8.at n=51A004682
- Numbers of the form 8k+5; or, numbers whose binary expansion ends in 101.at n=44A004770
- Number of symmetric, reduced unit interval schemes with n+1 intervals (n>=1).at n=15A005213