3769
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3770
- 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
- 3768
- Möbius Function
- -1
- Radical
- 3769
- 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
- 113
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 525
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n, with three kinds of 1,2 and 3 and two kinds of 4,5,6,....at n=11A000715
- Primes with 7 as smallest primitive root.at n=37A001126
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=16A001275
- Number of paraffins.at n=24A005998
- Crystal ball sequence for diamond.at n=16A007904
- 3 and -3 are both 4th powers (one implies other) mod these primes p=1 mod 8.at n=24A014755
- Numbers k such that the continued fraction for sqrt(k) has period 87.at n=1A020426
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=31A021007
- Primes p such that 3*p + 4 and 9*p + 16 are also prime.at n=40A023247
- Coordination sequence T8 for Zeolite Code MWW.at n=41A024993
- Smallest prime in Goldbach partition of A025018(n).at n=46A025019
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 9.at n=8A031422
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 40 ones.at n=11A031808
- Lower prime of a difference of 10 between consecutive primes.at n=49A031928
- Numbers whose set of base-12 digits is {1,2}.at n=28A032932
- Multiplicity of highest weight (or singular) vectors associated with character chi_29 of Monster module.at n=35A034417
- Primes p such that both p-2 and 2p-1 are prime.at n=25A038869
- Denominators of continued fraction convergents to sqrt(987).at n=6A042911
- F-primes.at n=35A046872
- Number of planar partitions of n, when partitions that are rotations of each other (when regarded as 3-D objects) are counted only once.at n=15A048139