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Properties of the Number 10673

Ten Thousand Six Hundred Seventy-Three

Basics

Value: 10672 → 10673 → 10674

Parity: odd

Prime: No

Previous Prime: 10667

Next Prime: 10687

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 821

Divisors: 1, 13, 821, 10673

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100110110001

Octal: 24661

Duodecimal: 6215

Hexadecimal: 29b1

Square: 113912929

Square Root: 103.31021246711285

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of length n+6 0..k arrays with every seven consecutive terms having five times the sum of some two elements equal to two times the sum of the remaining five. A249255
Number of partitions of n in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i. A56219
a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ). A3318
Partial sums of A005587. Fourth column of triangle A115127. A115129
The icosagen sequence : a(n) = A018227(n)-5, for n >= 2. A271997
a(n) = ∑p in P binomial(H(2,p),2), where P is the set of partitions of n, and H(2,p) = number of hooks of size 2 in p. A301313
Lesser of 2 successive squarefree semiprimes (k, k+4) sandwiching 3 consecutive nonsquarefree numbers. A363821
Indices of records in A045537. A373942
Numbers k such that the continued fraction for sqrt(k) has period 25. A20364
a(n) = [ a(n-1)/a(1) ] + [ a(n-3)/a(3) ] + [ a(n-5)/a(5) ] + ..., for n >= 3. A22872