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4,164

4,164 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 Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
13 bits
Reversed
4,614
Recamán's sequence
a(28,748) = 4,164
Square (n²)
17,338,896
Cube (n³)
72,199,162,944
Divisor count
12
σ(n) — sum of divisors
9,744
φ(n) — Euler's totient
1,384
Sum of prime factors
354

Primality

Prime factorization: 2 2 × 3 × 347

Nearest primes: 4,159 (−5) · 4,177 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 347 · 694 · 1041 · 1388 · 2082 (half) · 4164
Aliquot sum (sum of proper divisors): 5,580
Factor pairs (a × b = 4,164)
1 × 4164
2 × 2082
3 × 1388
4 × 1041
6 × 694
12 × 347
First multiples
4,164 · 8,328 (double) · 12,492 · 16,656 · 20,820 · 24,984 · 29,148 · 33,312 · 37,476 · 41,640

Sums & aliquot sequence

As consecutive integers: 1,387 + 1,388 + 1,389 517 + 518 + … + 524 162 + 163 + … + 185
Aliquot sequence: 4,164 5,580 11,892 15,884 16,120 24,200 37,645 7,535 2,401 400 561 303 105 87 33 15 9 — unresolved within range

Representations

In words
four thousand one hundred sixty-four
Ordinal
4164th
Binary
1000001000100
Octal
10104
Hexadecimal
0x1044
Base64
EEQ=
One's complement
61,371 (16-bit)
In other bases
ternary (3) 12201020
quaternary (4) 1001010
quinary (5) 113124
senary (6) 31140
septenary (7) 15066
nonary (9) 5636
undecimal (11) 3146
duodecimal (12) 24b0
tridecimal (13) 1b84
tetradecimal (14) 1736
pentadecimal (15) 1379

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δρξδʹ
Mayan (base 20)
𝋪·𝋨·𝋤
Chinese
四千一百六十四
Chinese (financial)
肆仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٤١٦٤ Devanagari ४१६४ Bengali ৪১৬৪ Tamil ௪௧௬௪ Thai ๔๑๖๔ Tibetan ༤༡༦༤ Khmer ៤១៦៤ Lao ໔໑໖໔ Burmese ၄၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 4,164 = 6
e — Euler's number (e)
Digit 4,164 = 0
φ — Golden ratio (φ)
Digit 4,164 = 8
√2 — Pythagoras's (√2)
Digit 4,164 = 3
ln 2 — Natural log of 2
Digit 4,164 = 5
γ — Euler-Mascheroni (γ)
Digit 4,164 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4164, here are decompositions:

  • 5 + 4159 = 4164
  • 7 + 4157 = 4164
  • 11 + 4153 = 4164
  • 31 + 4133 = 4164
  • 37 + 4127 = 4164
  • 53 + 4111 = 4164
  • 71 + 4093 = 4164
  • 73 + 4091 = 4164

Showing the first eight; more decompositions exist.

Unicode codepoint
Myanmar Digit Four
U+1044
Decimal digit (Nd)

UTF-8 encoding: E1 81 84 (3 bytes).

Hex color
#001044
RGB(0, 16, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.68.

Address
0.0.16.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.16.68

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

Position in π

The digit sequence 4164 first appears in π at position 26,614 of the decimal expansion (the 26,614ordinal-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.