3747
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5000
- Proper Divisor Sum (Aliquot Sum)
- 1253
- 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
- 2496
- Möbius Function
- 1
- Radical
- 3747
- 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
- 87
- 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
- From a nim-like game.at n=29A003412
- If a, b in sequence, so is ab+5.at n=42A009304
- Coordination sequence T1 for Zeolite Code TER.at n=41A016433
- Coordination sequence T6 for Zeolite Code TER.at n=41A016438
- a(n)^2 has last digit equal to the sum of the other digits.at n=12A030134
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 19.at n=25A031517
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=6A031903
- Concatenation of prime factors of n-th Fibonacci number.at n=13A038526
- Numerators of continued fraction convergents to sqrt(351).at n=7A041664
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=38A043071
- Least positive integer not representable using exactly n 9's and the operations +-*/().at n=12A066409
- Zero-based position of the least significant (rightmost) zero bit in the bit-masks A068222 (A068224).at n=39A068058
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=34A091332
- Sums of 10 distinct positive pentatope numbers (A000332).at n=39A104400
- Concatenations of pairs of primes that differ by 10.at n=5A104719
- Location of restriction sites for the enzyme MboII in PhiX174 DNA.at n=7A108876
- Numbers k that divide 3^((k-1)/2) - 2^((k-1)/2) - 1.at n=30A130061
- a(n) is the smallest number k such that k^n has the same digits as some other n-th power without leading zeros.at n=8A133208
- Concatenation of next n odd isolated primes.at n=1A134798
- Smallest number k containing no zero digit such that k^2 contains exactly n zeros.at n=3A134846