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Properties of the Number 10702

Ten Thousand Seven Hundred Two

Basics

Value: 10701 → 10702 → 10703

Parity: even

Prime: No

Previous Prime: 10691

Next Prime: 10709

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5351

Divisors: 1, 2, 5351, 10702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111001110

Octal: 24716

Duodecimal: 623A

Hexadecimal: 29ce

Square: 114532804

Square Root: 103.45047124107265

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

Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions. A230856
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal. A236819
Number of partitions of n into decimal palindromes. A91580
f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices. A11826
Number of partitions of n into decimal repdigit numbers. A88669
Expansion of ∏k>=0 (1-x4·k+1)4·k+1. A285070
Record-breaking values, for increasing positive integers k == 1 or 5 mod 6, of the conjectured length of the longest primitive cycle(s) of positive integers under iteration by the Collatz-like 3x+k function. A226670
Expansion of ∏k>=0 (1 + x4·k+1)4·k+1. A285288
Numbers k such that s(k) + s(k+1) + ... + s(k+4) = t(k) + t(k+1) + ... + t(k+4). A33912
a(n) = ∑k >= 1 floor(3*τn-k). A20958