4903
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4904
- 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
- 4902
- Möbius Function
- -1
- Radical
- 4903
- 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
- 103
- 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
- 655
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = number of compositions of n in which the maximum part size is 4.at n=15A000102
- First differences of A005579.at n=20A005347
- Coordination sequence T4 for Zeolite Code MTW.at n=46A008199
- a(0) = 1, a(n) = 29*n^2 + 2 for n>0.at n=13A010019
- Numbers k such that the continued fraction for sqrt(k) has period 52.at n=27A020391
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=46A023248
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=1A023684
- T(n, 2*n-3), T given by A027960.at n=28A027965
- 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 69.at n=13A031567
- Upper prime of a difference of 14 between consecutive primes.at n=26A031933
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=34A033548
- Primes of the form k^2 + 3.at n=13A049423
- Starting index of a string of 3 or more consecutive equal digits in decimal expansion of Pi.at n=41A049515
- Starting index of a string of 4 or more consecutive equal digits in decimal expansion of Pi.at n=5A049516
- Starting index of a string of exactly 4 consecutive equal digits in decimal expansion of Pi.at n=2A049520
- Primes p from A031924 such that A052180(primepi(p)) = 7.at n=25A052231
- Primes p whose period of the reciprocal 1/p is (p-1)/3.at n=41A055628
- Primes p such that x^43 = 2 has no solution mod p.at n=15A059243
- Primes p such that x^19 = 2 has no solution mod p.at n=33A059244
- Triangle formed when cumulative boustrophedon transform is applied to 1, 0, 0, 0, ..., read by rows from left to right.at n=22A059431