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Number

11,117

11,117 is a prime, odd.

11,117 (eleven thousand one hundred seventeen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2B6D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
7
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
71,111
Recamán's sequence
a(174,025) = 11,117
Square (n²)
123,587,689
Cube (n³)
1,373,924,338,613
Divisor count
2
σ(n) — sum of divisors
11,118
φ(n) — Euler's totient
11,116

Primality

11,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 11117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 11,117)
1 × 11117
First multiples
11,117 · 22,234 (double) · 33,351 · 44,468 · 55,585 · 66,702 · 77,819 · 88,936 · 100,053 · 111,170

Sums & aliquot sequence

As a sum of two squares: 61² + 86²
As consecutive integers: 5,558 + 5,559

Continued fraction of √n

√11,117 = [105; (2, 3, 2, 11, 1, 29, 4, 1, 6, 1, 2, 1, 2, 2, 1, 3, 1, 1, 1, 1, 52, 9, 6, 1, …)]

Period length 57 — the block in parentheses repeats forever.

Representations

In words
eleven thousand one hundred seventeen
Ordinal
11117th
Binary
10101101101101
Octal
25555
Hexadecimal
0x2B6D
Base64
K20=
One's complement
54,418 (16-bit)
Scientific notation
1.1117 × 10⁴
As a duration
11,117 s = 3 hours, 5 minutes, 17 seconds
In other bases
ternary (3) 120020202
quaternary (4) 2231231
quinary (5) 323432
senary (6) 123245
septenary (7) 44261
nonary (9) 16222
undecimal (11) 8397
duodecimal (12) 6525
tridecimal (13) 50a2
tetradecimal (14) 40a1
pentadecimal (15) 3462

As an angle

11,117° = 30 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιαριζʹ
Mayan (base 20)
𝋡·𝋧·𝋯·𝋱
Chinese
一萬一千一百一十七
Chinese (financial)
壹萬壹仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١١١١٧ Devanagari ११११७ Bengali ১১১১৭ Tamil ௧௧௧௧௭ Thai ๑๑๑๑๗ Tibetan ༡༡༡༡༧ Khmer ១១១១៧ Lao ໑໑໑໑໗ Burmese ၁၁၁၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 11,117 = 8
e — Euler's number (e)
Digit 11,117 = 7
φ — Golden ratio (φ)
Digit 11,117 = 1
√2 — Pythagoras's (√2)
Digit 11,117 = 9
ln 2 — Natural log of 2
Digit 11,117 = 0
γ — Euler-Mascheroni (γ)
Digit 11,117 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 11,113 (gap of 4)
  • Next prime: 11,119 (gap of 2)

Pair status: twin with 11119, cousin with 11113.

Unicode codepoint
Downwards Triangle-Headed Dashed Arrow
U+2B6D
Other symbol (So)

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

Hex color
#002B6D
RGB(0, 43, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.43.109.

Address
0.0.43.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.43.109

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

Musical pitch

Heard as a frequency, 11,117 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -9¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +29¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -8¢)
Position in π

The digit sequence 11117 first appears in π at position 123,036 of the decimal expansion (the 123,036ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.