Live analysis

3,164

3,164 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,164 (three thousand one hundred sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 113. Its proper divisors sum to 3,220, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCLXIV and in binary, 110001011100.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

3,152 3,153 3,154 3,155 3,156 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

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 72
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 4,613
Recamán's sequence: a(7,020) = 3,164
Square (n²): 10,010,896
Cube (n³): 31,674,474,944
Divisor count: 12
σ(n) — sum of divisors: 6,384
φ(n) — Euler's totient: 1,344
Sum of prime factors: 124

Primality

Prime factorization: 2 ² × 7 × 113

Nearest primes: 3,163 (−1) · 3,167 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 7 · 14 · 28 · 113 · 226 · 452 · 791 · 1582 (half) · 3164

Aliquot sum (sum of proper divisors): 3,220

Factor pairs (a × b = 3,164)

1 × 3164

2 × 1582

4 × 791

7 × 452

14 × 226

28 × 113

First multiples

3,164 · 6,328 (double) · 9,492 · 12,656 · 15,820 · 18,984 · 22,148 · 25,312 · 28,476 · 31,640

Sums & aliquot sequence

As consecutive integers: 449 + 450 + … + 455 392 + 393 + … + 399 29 + 30 + … + 84

Aliquot sequence: 3,164 → 3,220 → 4,844 → 4,900 → 7,469 → 1,939 → 285 → 195 → 141 → 51 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,164 = [56; (4, 112)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three thousand one hundred sixty-four
Ordinal: 3164th
Roman numeral: MMMCLXIV
Binary: 110001011100
Octal: 6134
Hexadecimal: 0xC5C
Base64: DFw=
One's complement: 62,371 (16-bit)
Scientific notation: 3.164 × 10³
As a duration: 3,164 s = 52 minutes, 44 seconds

In other bases

ternary (3) 11100012

quaternary (4) 301130

quinary (5) 100124

senary (6) 22352

septenary (7) 12140

nonary (9) 4305

undecimal (11) 2417

duodecimal (12) 19b8

tridecimal (13) 1595

tetradecimal (14) 1220

pentadecimal (15) e0e

Palindromic in base 15, base 16

As an angle

3,164° = 8 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γρξδʹ
Mayan (base 20): 𝋧·𝋲·𝋤
Chinese: 三千一百六十四
Chinese (financial): 參仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ٣١٦٤ Devanagari ३१६४ Bengali ৩১৬৪ Tamil ௩௧௬௪ Thai ๓๑๖๔ Tibetan ༣༡༦༤ Khmer ៣១៦៤ Lao ໓໑໖໔ Burmese ၃၁၆၄

Digit at this position in famous constants

π — Pi (π): Digit 3,164 = 0
e — Euler's number (e): Digit 3,164 = 8
φ — Golden ratio (φ): Digit 3,164 = 4
√2 — Pythagoras's (√2): Digit 3,164 = 5
ln 2 — Natural log of 2: Digit 3,164 = 3
γ — Euler-Mascheroni (γ): Digit 3,164 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3164, here are decompositions:

43 + 3121 = 3164
97 + 3067 = 3164
103 + 3061 = 3164
127 + 3037 = 3164
163 + 3001 = 3164
193 + 2971 = 3164
211 + 2953 = 3164
277 + 2887 = 3164

Showing the first eight; more decompositions exist.

Hex color

#000C5C

RGB(0, 12, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.92.

Address: 0.0.12.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.92

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

Musical pitch

Heard as a frequency, 3,164 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -47¢ — about midway to G7)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +17¢)

Position in π

The digit sequence 3164 first appears in π at position 35,079 of the decimal expansion (the 35,079ordinal-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 3164 on Pi Search ↗