1603
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1840
- Proper Divisor Sum (Aliquot Sum)
- 237
- 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
- 1368
- Möbius Function
- 1
- Radical
- 1603
- 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
- 60
- 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
- Positive integers n such that 2^n == 2^7 (mod n).at n=45A015927
- Coordination sequence T6 for Zeolite Code TER.at n=27A016438
- Pseudoprimes to base 94.at n=23A020222
- Pseudoprimes to base 95.at n=10A020223
- Numbers k such that the continued fraction for sqrt(k) has period 20.at n=40A020359
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (odd natural numbers).at n=51A024372
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=25A024929
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (odd natural numbers).at n=50A025072
- Positions of record values in A030767.at n=43A030772
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 5.at n=30A031408
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=41A035575
- Number of odd split numbers (A036382) of which the binary order (A029837) is <= n, i.e., those which occur below 2^n.at n=12A036388
- Numbers k such that every base-8 digit of k is a base-10 digit of k.at n=34A037406
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 3,1,0.at n=3A037664
- Odd numbers that are differences between two positive cubes.at n=44A038847
- Numbers that are divisible by 7 and are differences between two cubes in at least one way.at n=26A038855
- Numbers ending with '3' that are the difference of two positive cubes.at n=5A038858
- Numbers whose base-12 representation has the same nonzero number of 7's and 11's.at n=41A039552
- Numerators of continued fraction convergents to sqrt(373).at n=3A041706
- Numbers k such that 0 and 3 occur juxtaposed in the base-10 representation of k but not of k-1.at n=31A043218