Live analysis

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.).

4,164 (four thousand one hundred sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 347. Its proper divisors sum to 5,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1044.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

4,152 4,153 4,154 4,155 4,156 4,157 4,158 4,159 4,160 4,161 4,162 4,163 4,164 4,165 4,166 4,167 4,168 4,169 4,170 4,171 4,172 4,173 4,174 4,175 4,176

less more

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

Continued fraction of √n

√4,164 = [64; (1, 1, 8, 9, 1, 4, 3, 1, 4, 1, 5, 1, 1, 1, 2, 10, 2, 1, 1, 1, 5, 1, 4, 1, …)]

Period length 32 — the block in parentheses repeats forever.

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)
Scientific notation: 4.164 × 10³
As a duration: 4,164 s = 1 hour, 9 minutes, 24 seconds

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

As an angle

4,164° = 11 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

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

၄

Myanmar Digit Four

U+1044

Decimal digit (Nd)

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

Lookup U+1044 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 4,164 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, +29¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -8¢)

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.

Look up 4164 on Pi Search ↗