Properties of the Number 10693

Ten Thousand Six Hundred Ninety-Three

Basics

Value: 10692 → 10693 → 10694

Parity: odd

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 ² × 37

Divisors: 1, 17, 37, 289, 629, 10693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000101

Octal: 24705

Duodecimal: 6231

Hexadecimal: 29c5

Square: 114340249

Square Root: 103.40696301506973

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

18-gonal (or octadecagonal) numbers: a(n) = n*(8·n-7). A51870

21-gonal numbers: a(n) = n*(19n - 17)/2. A51873

a(n) = ∑_k=1..n gcd(k, n)⁴. A343498

Small-number statistic from the enumeration of domino tilings of a 5-pillow of order n. A112838

a(n) = 15·n² - 9·n + 1. A134154

Hyperperfect numbers: x such that x = 1 + k*(σ(x)-x-1) for some k > 0. A34897

Hyperperfect numbers: k = m*(σ(k) - k - 1) + 1 for some m > 1. A7592

Row sums of triangle A135858. A135859

Consider coefficients U(m,l,k) defined by the identity ∑_k=1..l ∑_j=0..m A302971(m,j)/A304042(m,j) * k^j * (T-k)^j = ∑_k=0..m (-1)^m-k * U(m,l,k) * T^k that holds for all positive integers l,m,T. This sequence gives 2-column table read by rows, where n-th row lists coefficients U(1,n,k) for k = 0, 1 and n >= 1. A320047

Numbers k congruent to 1 or 5 mod 6, for which A064989(A064989(σ(k))) > A064989(A064989(k)), where A064989 shifts the prime factorization one step towards lower primes, and σ is the sum of divisors function. A348754