Live analysis

2,664

2,664 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.).

2,664 (two thousand six hundred sixty-four) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 37. Its proper divisors sum to 4,746, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDCLXIV and in binary, 101001101000.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

2,652 2,653 2,654 2,655 2,656 2,657 2,658 2,659 2,660 2,661 2,662 2,663 2,664 2,665 2,666 2,667 2,668 2,669 2,670 2,671 2,672 2,673 2,674 2,675 2,676

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 288
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 4,662
Recamán's sequence: a(7,304) = 2,664
Square (n²): 7,096,896
Cube (n³): 18,906,130,944
Divisor count: 24
σ(n) — sum of divisors: 7,410
φ(n) — Euler's totient: 864
Sum of prime factors: 49

Primality

Prime factorization: 2 ³ × 3 ² × 37

Nearest primes: 2,663 (−1) · 2,671 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 37 · 72 · 74 · 111 · 148 · 222 · 296 · 333 · 444 · 666 · 888 · 1332 (half) · 2664

Aliquot sum (sum of proper divisors): 4,746

Factor pairs (a × b = 2,664)

1 × 2664

2 × 1332

3 × 888

4 × 666

6 × 444

8 × 333

9 × 296

12 × 222

18 × 148

24 × 111

36 × 74

37 × 72

First multiples

2,664 · 5,328 (double) · 7,992 · 10,656 · 13,320 · 15,984 · 18,648 · 21,312 · 23,976 · 26,640

Sums & aliquot sequence

As a sum of two squares: 30² + 42²

As consecutive integers: 887 + 888 + 889 292 + 293 + … + 300 159 + 160 + … + 174 54 + 55 + … + 90

Aliquot sequence: 2,664 → 4,746 → 6,198 → 6,210 → 11,070 → 19,170 → 32,670 → 63,090 → 101,178 → 175,878 → 215,082 → 332,118 → 387,510 → 542,586 → 641,382 → 824,730 → 1,210,854 — unresolved within range

Continued fraction of √n

√2,664 = [51; (1, 1, 1, 1, 2, 3, 1, 2, 1, 10, 1, 2, 1, 3, 2, 1, 1, 1, 1, 102)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: two thousand six hundred sixty-four
Ordinal: 2664th
Roman numeral: MMDCLXIV
Binary: 101001101000
Octal: 5150
Hexadecimal: 0xA68
Base64: Cmg=
One's complement: 62,871 (16-bit)
Scientific notation: 2.664 × 10³
As a duration: 2,664 s = 44 minutes, 24 seconds

In other bases

ternary (3) 10122200

quaternary (4) 221220

quinary (5) 41124

senary (6) 20200

septenary (7) 10524

nonary (9) 3580

undecimal (11) 2002

duodecimal (12) 1660

tridecimal (13) 129c

tetradecimal (14) d84

pentadecimal (15) bc9

Palindromic in base 11

As an angle

2,664° = 7 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵βχξδʹ
Mayan (base 20): 𝋦·𝋭·𝋤
Chinese: 二千六百六十四
Chinese (financial): 貳仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ٢٦٦٤ Devanagari २६६४ Bengali ২৬৬৪ Tamil ௨௬௬௪ Thai ๒๖๖๔ Tibetan ༢༦༦༤ Khmer ២៦៦៤ Lao ໒໖໖໔ Burmese ၂၆၆၄

Digit at this position in famous constants

π — Pi (π): Digit 2,664 = 6
e — Euler's number (e): Digit 2,664 = 2
φ — Golden ratio (φ): Digit 2,664 = 3
√2 — Pythagoras's (√2): Digit 2,664 = 4
ln 2 — Natural log of 2: Digit 2,664 = 0
γ — Euler-Mascheroni (γ): Digit 2,664 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2664, here are decompositions:

5 + 2659 = 2664
7 + 2657 = 2664
17 + 2647 = 2664
31 + 2633 = 2664
43 + 2621 = 2664
47 + 2617 = 2664
71 + 2593 = 2664
73 + 2591 = 2664

Showing the first eight; more decompositions exist.

Unicode codepoint

੨

Gurmukhi Digit Two

U+0A68

Decimal digit (Nd)

UTF-8 encoding: E0 A9 A8 (3 bytes).

Lookup U+0A68 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000A68

RGB(0, 10, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.104.

Address: 0.0.10.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.104

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

Musical pitch

Heard as a frequency, 2,664 Hz is closest to:

Concert pitch (A4 = 440 Hz): E7 (2637 Hz, +18¢)
Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, -45¢ — about midway to E7)
Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, +19¢)

Position in π

The digit sequence 2664 first appears in π at position 275 of the decimal expansion (the 275ordinal-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 2664 on Pi Search ↗