Number

17,117

17,117 is a prime, odd.

17,117 (seventeen 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, 0x42DD.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

17,105 17,106 17,107 17,108 17,109 17,110 17,111 17,112 17,113 17,114 17,115 17,116 17,117 17,118 17,119 17,120 17,121 17,122 17,123 17,124 17,125 17,126 17,127 17,128 17,129

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 17
Digit product: 49
Digital root: 8
Palindrome: No
Bit width: 15 bits
Reversed: 71,171
Recamán's sequence: a(44,177) = 17,117
Square (n²): 292,991,689
Cube (n³): 5,015,138,740,613
Divisor count: 2
σ(n) — sum of divisors: 17,118
φ(n) — Euler's totient: 17,116

Primality

17,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 17117

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 17,117)

1 × 17117

First multiples

17,117 · 34,234 (double) · 51,351 · 68,468 · 85,585 · 102,702 · 119,819 · 136,936 · 154,053 · 171,170

Sums & aliquot sequence

As a sum of two squares: 91² + 94²

As consecutive integers: 8,558 + 8,559

Continued fraction of √n

√17,117 = [130; (1, 4, 1, 19, 3, 2, 1, 1, 4, 1, 3, 37, 8, 2, 2, 2, 2, 8, 37, 3, 1, 4, 1, 1, …)]

Period length 31 — the block in parentheses repeats forever.

Representations

In words: seventeen thousand one hundred seventeen
Ordinal: 17117th
Binary: 100001011011101
Octal: 41335
Hexadecimal: 0x42DD
Base64: Qt0=
One's complement: 48,418 (16-bit)
Scientific notation: 1.7117 × 10⁴
As a duration: 17,117 s = 4 hours, 45 minutes, 17 seconds

In other bases

ternary (3) 212110222

quaternary (4) 10023131

quinary (5) 1021432

senary (6) 211125

septenary (7) 100622

nonary (9) 25428

undecimal (11) 11951

duodecimal (12) 9aa5

tridecimal (13) 7a39

tetradecimal (14) 6349

pentadecimal (15) 5112

As an angle

17,117° = 47 × 360° + 197°

197° ≈ 3.438 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιζριζʹ
Mayan (base 20): 𝋢·𝋢·𝋯·𝋱
Chinese: 一萬七千一百一十七
Chinese (financial): 壹萬柒仟壹佰壹拾柒

In other modern scripts

Eastern Arabic ١٧١١٧ Devanagari १७११७ Bengali ১৭১১৭ Tamil ௧௭௧௧௭ Thai ๑๗๑๑๗ Tibetan ༡༧༡༡༧ Khmer ១៧១១៧ Lao ໑໗໑໑໗ Burmese ၁၇၁၁၇

Digit at this position in famous constants

π — Pi (π): Digit 17,117 = 7
e — Euler's number (e): Digit 17,117 = 9
φ — Golden ratio (φ): Digit 17,117 = 9
√2 — Pythagoras's (√2): Digit 17,117 = 0
ln 2 — Natural log of 2: Digit 17,117 = 2
γ — Euler-Mascheroni (γ): Digit 17,117 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 17,107 (gap of 10)
Next prime: 17,123 (gap of 6)

Pair status: sexy with 17123.

Unicode codepoint

䋝

CJK Unified Ideograph-42Dd

U+42DD

Other letter (Lo)

UTF-8 encoding: E4 8B 9D (3 bytes).

Lookup U+42DD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0042DD

RGB(0, 66, 221)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.66.221.

Address: 0.0.66.221
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.66.221

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

Musical pitch

Heard as a frequency, 17,117 Hz is closest to:

Concert pitch (A4 = 440 Hz): C10 (16744 Hz, +38¢)
Scientific pitch (C4 = 256 Hz): C♯10 (17358.2 Hz, -24¢)
Baroque pitch (A4 = 415 Hz): C♯10 (16731.8 Hz, +39¢)

Position in π

The digit sequence 17117 first appears in π at position 50,444 of the decimal expansion (the 50,444ordinal-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.

Look up 17117 on Pi Search ↗