Number

3,169

3,169 is a prime, odd.

3,169 (three thousand one hundred sixty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCLXIX and in binary, 110001100001.

Arithmetic Number Centered Hexagonal Cuban Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

11 notable facts · grade A

3,157 3,158 3,159 3,160 3,161 3,162 3,163 3,164 3,165 3,166 3,167 3,168 3,169 3,170 3,171 3,172 3,173 3,174 3,175 3,176 3,177 3,178 3,179 3,180 3,181

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 19
Digit product: 162
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 9,613
Recamán's sequence: a(7,010) = 3,169
Square (n²): 10,042,561
Cube (n³): 31,824,875,809
Divisor count: 2
σ(n) — sum of divisors: 3,170
φ(n) — Euler's totient: 3,168

Primality

3,169 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3169

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,169)

1 × 3169

First multiples

3,169 · 6,338 (double) · 9,507 · 12,676 · 15,845 · 19,014 · 22,183 · 25,352 · 28,521 · 31,690

Sums & aliquot sequence

As a sum of two squares: 12² + 55²

As consecutive integers: 1,584 + 1,585

Continued fraction of √n

√3,169 = [56; (3, 2, 2, 13, 1, 1, 1, 21, 1, 6, 12, 2, 1, 2, 1, 2, 1, 3, 1, 3, 2, 1, 1, 1, …)]

Representations

In words: three thousand one hundred sixty-nine
Ordinal: 3169th
Roman numeral: MMMCLXIX
Binary: 110001100001
Octal: 6141
Hexadecimal: 0xC61
Base64: DGE=
One's complement: 62,366 (16-bit)
Scientific notation: 3.169 × 10³
As a duration: 3,169 s = 52 minutes, 49 seconds

In other bases

ternary (3) 11100101

quaternary (4) 301201

quinary (5) 100134

senary (6) 22401

septenary (7) 12145

nonary (9) 4311

undecimal (11) 2421

duodecimal (12) 1a01

tridecimal (13) 159a

tetradecimal (14) 1225

pentadecimal (15) e14

As an angle

3,169° = 8 × 360° + 289°

289° ≈ 5.044 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γρξθʹ
Mayan (base 20): 𝋧·𝋲·𝋩
Chinese: 三千一百六十九
Chinese (financial): 參仟壹佰陸拾玖

In other modern scripts

Eastern Arabic ٣١٦٩ Devanagari ३१६९ Bengali ৩১৬৯ Tamil ௩௧௬௯ Thai ๓๑๖๙ Tibetan ༣༡༦༩ Khmer ៣១៦៩ Lao ໓໑໖໙ Burmese ၃၁၆၉

Digit at this position in famous constants

π — Pi (π): Digit 3,169 = 0
e — Euler's number (e): Digit 3,169 = 9
φ — Golden ratio (φ): Digit 3,169 = 5
√2 — Pythagoras's (√2): Digit 3,169 = 3
ln 2 — Natural log of 2: Digit 3,169 = 6
γ — Euler-Mascheroni (γ): Digit 3,169 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,167 (gap of 2)
Next prime: 3,181 (gap of 12)

Pair status: twin with 3167.

Unicode codepoint

ౡ

Telugu Letter Vocalic Ll

U+0C61

Other letter (Lo)

UTF-8 encoding: E0 B1 A1 (3 bytes).

Lookup U+0C61 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C61

RGB(0, 12, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.97.

Address: 0.0.12.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.97

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

Musical pitch

Heard as a frequency, 3,169 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -44¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +19¢)

Position in π

The digit sequence 3169 first appears in π at position 22,923 of the decimal expansion (the 22,923ordinal-suffix:rd 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 3169 on Pi Search ↗