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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.).
Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

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

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)
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

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.

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.