5749
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5750
- 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
- 5748
- Möbius Function
- -1
- Radical
- 5749
- 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
- 54
- Smith Number
- no
- Vampire 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
- 757
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of alkyl benzenes with n carbon atoms: C(n)H(2n-6).at n=15A000639
- Numbers k such that the continued fraction for sqrt(k) has period 55.at n=4A020394
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=24A023274
- Primes that are palindromic in base 7.at n=21A029975
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=38A031802
- Base-7 palindromes that start with 2.at n=35A043016
- Numbers having four 4's in base 5.at n=24A043368
- Numbers whose base-7 representation contains exactly four 2's.at n=20A043404
- Numbers having three 7's in base 9.at n=29A043483
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=33A048134
- Numbers k such that 231*2^k-1 is prime.at n=40A050867
- Prime number spiral (clockwise, Northeast spoke).at n=14A054553
- First member of a prime triple in a 2p-1 progression.at n=29A057326
- Numbers k such that 78^k - 77^k is prime.at n=1A062644
- Primes p for which the exponent of the highest power of 2 dividing p! is equal to prevprime(prevprime(p)).at n=27A064396
- Smallest prime (or noncomposite) strictly greater than sum of previous terms (with a(0)=1).at n=12A064934
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=10A065044
- Numerator of Sum_{k=1..n} phi(k)/k.at n=11A071708
- Numbers k such that (10^k - 1) - 7*10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime).at n=8A077778
- Primes p such that floor(p^Pi) is prime.at n=36A079594