1007
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1080
- Proper Divisor Sum (Aliquot Sum)
- 73
- 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
- 936
- Möbius Function
- 1
- Radical
- 1007
- 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
- 93
- 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
- Numbers that are not the sum of 4 tetrahedral numbers.at n=46A000797
- a(n) = solution to the postage stamp problem with n denominations and 6 stamps.at n=7A001216
- Number of partitions of n into parts 2, 3, 4, 5, 6, 7.at n=44A001996
- Numbers that are the sum of 8 positive 5th powers.at n=31A003353
- Coordination sequence T2 for Zeolite Code AEI.at n=24A008002
- Coordination sequence T1 for Zeolite Code LIO.at n=22A008129
- Coordination sequence T2 for Zeolite Code PHI.at n=23A008228
- Composite but smallest prime factor >= 17.at n=28A008367
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly three 1's.at n=17A013650
- Coordination sequence T3 for Zeolite Code TER.at n=21A016435
- Coordination sequence T6 for Zeolite Code TER.at n=21A016438
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11).at n=41A017851
- Coordination sequence T4 for Zeolite Code CGF.at n=22A019454
- Fibonacci sequence beginning 1, 29.at n=9A022399
- a(1) = 3; a(n+1) = a(n)-th composite.at n=17A022451
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th non-Fibonacci number).at n=13A023483
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th non-Lucas number).at n=13A023491
- Numbers with exactly 9 ones in binary expansion.at n=5A023691
- a(n) = position of n^2 + (n+1)^2 in A004431 (sums of 2 distinct nonzero squares).at n=41A024513
- Position of 2*n^2 in A000404 (sums of 2 nonzero squares).at n=41A024517