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Number

10,093

10,093 is a prime, odd.

Arithmetic Number Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
39,001
Recamán's sequence
a(4,973) = 10,093
Square (n²)
101,868,649
Cube (n³)
1,028,160,274,357
Divisor count
2
σ(n) — sum of divisors
10,094
φ(n) — Euler's totient
10,092

Primality

10,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,093)
1 × 10093
First multiples
10,093 · 20,186 (double) · 30,279 · 40,372 · 50,465 · 60,558 · 70,651 · 80,744 · 90,837 · 100,930

Sums & aliquot sequence

As a sum of two squares: 38² + 93²
As consecutive integers: 5,046 + 5,047

Representations

In words
ten thousand ninety-three
Ordinal
10093rd
Binary
10011101101101
Octal
23555
Hexadecimal
0x276D
Base64
J20=
One's complement
55,442 (16-bit)
In other bases
ternary (3) 111211211
quaternary (4) 2131231
quinary (5) 310333
senary (6) 114421
septenary (7) 41266
nonary (9) 14754
undecimal (11) 7646
duodecimal (12) 5a11
tridecimal (13) 4795
tetradecimal (14) 396d
pentadecimal (15) 2ecd

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιϟγʹ
Mayan (base 20)
𝋡·𝋥·𝋤·𝋭
Chinese
一萬零九十三
Chinese (financial)
壹萬零玖拾參
In other modern scripts
Eastern Arabic ١٠٠٩٣ Devanagari १००९३ Bengali ১০০৯৩ Tamil ௧௦௦௯௩ Thai ๑๐๐๙๓ Tibetan ༡༠༠༩༣ Khmer ១០០៩៣ Lao ໑໐໐໙໓ Burmese ၁၀၀၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,093 = 3
e — Euler's number (e)
Digit 10,093 = 3
φ — Golden ratio (φ)
Digit 10,093 = 4
√2 — Pythagoras's (√2)
Digit 10,093 = 2
ln 2 — Natural log of 2
Digit 10,093 = 9
γ — Euler-Mascheroni (γ)
Digit 10,093 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,091 (gap of 2)
  • Next prime: 10,099 (gap of 6)

Pair status: twin with 10091, sexy with 10099.

Unicode codepoint
Medium Right-Pointing Angle Bracket Ornament
U+276D
Close punctuation (Pe)

UTF-8 encoding: E2 9D AD (3 bytes).

Hex color
#00276D
RGB(0, 39, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.109.

Address
0.0.39.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.109

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 10093 first appears in π at position 16,229 of the decimal expansion (the 16,229ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.