Live analysis

4,064

4,064 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.).

4,064 (four thousand sixty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 127. Written other ways, in binary, 111111100000.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

4,052 4,053 4,054 4,055 4,056 4,057 4,058 4,059 4,060 4,061 4,062 4,063 4,064 4,065 4,066 4,067 4,068 4,069 4,070 4,071 4,072 4,073 4,074 4,075 4,076

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 4,604
Recamán's sequence: a(14,263) = 4,064
Square (n²): 16,516,096
Cube (n³): 67,121,414,144
Divisor count: 12
σ(n) — sum of divisors: 8,064
φ(n) — Euler's totient: 2,016
Sum of prime factors: 137

Primality

Prime factorization: 2 ⁵ × 127

Nearest primes: 4,057 (−7) · 4,073 (+9)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 127 · 254 · 508 · 1016 · 2032 (half) · 4064

Aliquot sum (sum of proper divisors): 4,000

Factor pairs (a × b = 4,064)

1 × 4064

2 × 2032

4 × 1016

8 × 508

16 × 254

32 × 127

First multiples

4,064 · 8,128 (double) · 12,192 · 16,256 · 20,320 · 24,384 · 28,448 · 32,512 · 36,576 · 40,640

Sums & aliquot sequence

As consecutive integers: 32 + 33 + … + 95

Aliquot sequence: 4,064 → 4,000 → 5,828 → 4,924 → 3,700 → 4,546 → 2,276 → 1,714 → 860 → 988 → 972 → 1,576 → 1,394 → 874 → 566 → 286 → 218 — unresolved within range

Continued fraction of √n

√4,064 = [63; (1, 2, 1, 126)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four thousand sixty-four
Ordinal: 4064th
Binary: 111111100000
Octal: 7740
Hexadecimal: 0xFE0
Base64: D+A=
One's complement: 61,471 (16-bit)
Scientific notation: 4.064 × 10³
As a duration: 4,064 s = 1 hour, 7 minutes, 44 seconds

In other bases

ternary (3) 12120112

quaternary (4) 333200

quinary (5) 112224

senary (6) 30452

septenary (7) 14564

nonary (9) 5515

undecimal (11) 3065

duodecimal (12) 2428

tridecimal (13) 1b08

tetradecimal (14) 16a4

pentadecimal (15) 130e

As an angle

4,064° = 11 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δξδʹ
Mayan (base 20): 𝋪·𝋣·𝋤
Chinese: 四千零六十四
Chinese (financial): 肆仟零陸拾肆

In other modern scripts

Eastern Arabic ٤٠٦٤ Devanagari ४०६४ Bengali ৪০৬৪ Tamil ௪௦௬௪ Thai ๔๐๖๔ Tibetan ༤༠༦༤ Khmer ៤០៦៤ Lao ໔໐໖໔ Burmese ၄၀၆၄

Digit at this position in famous constants

π — Pi (π): Digit 4,064 = 6
e — Euler's number (e): Digit 4,064 = 7
φ — Golden ratio (φ): Digit 4,064 = 9
√2 — Pythagoras's (√2): Digit 4,064 = 1
ln 2 — Natural log of 2: Digit 4,064 = 4
γ — Euler-Mascheroni (γ): Digit 4,064 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4064, here are decompositions:

7 + 4057 = 4064
13 + 4051 = 4064
37 + 4027 = 4064
43 + 4021 = 4064
61 + 4003 = 4064
97 + 3967 = 4064
157 + 3907 = 4064
211 + 3853 = 4064

Showing the first eight; more decompositions exist.

Hex color

#000FE0

RGB(0, 15, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.224.

Address: 0.0.15.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.224

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

Musical pitch

Heard as a frequency, 4,064 Hz is closest to:

Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +49¢ — about midway to C8)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -50¢ — about midway to C8)

Position in π

The digit sequence 4064 first appears in π at position 2,930 of the decimal expansion (the 2,930ordinal-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 4064 on Pi Search ↗