3755
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4512
- Proper Divisor Sum (Aliquot Sum)
- 757
- 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
- 3000
- Möbius Function
- 1
- Radical
- 3755
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 61
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
Appears in sequences
- a(n) = Sum_t t*F(n,t), where F(n,t) (see A095133) is the number of forests with n (unlabeled) nodes and exactly t trees.at n=11A005196
- Nine iterations of Reverse and Add are needed to reach a palindrome.at n=19A015990
- Coordination sequence T1 for Zeolite Code IFR.at n=43A024982
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=50A025217
- a(n) = T(n,n+4), T given by A027023.at n=7A027026
- a(n) = T(n,2n-7), T given by A027023.at n=7A027031
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+7 or 16k-7.at n=44A036023
- Coordination sequence T2 for Zeolite Code STF.at n=41A038441
- Sums of 3 distinct powers of 5.at n=17A038475
- Base-4 palindromes that start with 3.at n=36A043005
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=39A043071
- a(n)=(s(n)+4)/9, where s(n)=n-th base 9 palindrome that starts with 5.at n=32A043076
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n-1.at n=37A044387
- Numbers n such that string 5,5 occurs in the base 10 representation of n but not of n+1.at n=37A044768
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=10A045155
- Numbers whose base-5 representation contains exactly three 0's and three 1's.at n=7A045172
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 3 (mod 4).at n=49A046780
- a(0) = 0; for n>0, a(n) = A005598(n)/2.at n=41A049703
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 16.at n=34A051981
- Column 2 of triangle A055907.at n=19A055908