Properties of the Number 10154

Ten Thousand One Hundred Fifty-Four

Basics

Value: 10153 → 10154 → 10155

Parity: even

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5077

Divisors: 1, 2, 5077, 10154

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011110101010

Octal: 23652

Duodecimal: 5A62

Hexadecimal: 27aa

Square: 103103716

Square Root: 100.7670581092849

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

Number of integer partitions of n such that it is possible to choose a different constant integer partition of each part. A387330

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4. A252343

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090

Number of partitions of n such that the number of even parts is a part and the number of odd parts is not a part. A240577

Numerator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337338

Number of partitions of n into an even number of parts such that the set of even parts has only one element. A341494

Number of partitions of n with exactly one repeated part and that part is even. A341496

Numbers k such that σ(k) plus the k-th prime is a triangular number. A115907

Expansion of ∏_m>=1 (1+m*(m+1)*q^m). A92485

Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right. A95788