Live analysis

2,642

2,642 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.).

2,642 (two thousand six hundred forty-two) is an even 4-digit number. It is a composite number with 4 divisors, and factors as 2 × 1,321. Written other ways, in Roman numerals it is MMDCXLII and in binary, 101001010010.

Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

2,630 2,631 2,632 2,633 2,634 2,635 2,636 2,637 2,638 2,639 2,640 2,641 2,642 2,643 2,644 2,645 2,646 2,647 2,648 2,649 2,650 2,651 2,652 2,653 2,654

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 96
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 2,462
Recamán's sequence: a(7,348) = 2,642
Square (n²): 6,980,164
Cube (n³): 18,441,593,288
Divisor count: 4
σ(n) — sum of divisors: 3,966
φ(n) — Euler's totient: 1,320
Sum of prime factors: 1,323

Primality

Prime factorization: 2 × 1321

Nearest primes: 2,633 (−9) · 2,647 (+5)

Divisors & multiples

All divisors (4)

1 · 2 · 1321 (half) · 2642

Aliquot sum (sum of proper divisors): 1,324

Factor pairs (a × b = 2,642)

1 × 2642

2 × 1321

First multiples

2,642 · 5,284 (double) · 7,926 · 10,568 · 13,210 · 15,852 · 18,494 · 21,136 · 23,778 · 26,420

Sums & aliquot sequence

As a sum of two squares: 31² + 41²

As consecutive integers: 659 + 660 + 661 + 662

Aliquot sequence: 2,642 → 1,324 → 1,000 → 1,340 → 1,516 → 1,144 → 1,376 → 1,396 → 1,054 → 674 → 340 → 416 → 466 → 236 → 184 → 176 → 196 — unresolved within range

Continued fraction of √n

√2,642 = [51; (2, 2, 102)]

Period length 3 — the block in parentheses repeats forever.

Representations

In words: two thousand six hundred forty-two
Ordinal: 2642nd
Roman numeral: MMDCXLII
Binary: 101001010010
Octal: 5122
Hexadecimal: 0xA52
Base64: ClI=
One's complement: 62,893 (16-bit)
Scientific notation: 2.642 × 10³
As a duration: 2,642 s = 44 minutes, 2 seconds

In other bases

ternary (3) 10121212

quaternary (4) 221102

quinary (5) 41032

senary (6) 20122

septenary (7) 10463

nonary (9) 3555

undecimal (11) 1a92

duodecimal (12) 1642

tridecimal (13) 1283

tetradecimal (14) d6a

pentadecimal (15) bb2

As an angle

2,642° = 7 × 360° + 122°

122° ≈ 2.129 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵βχμβʹ
Mayan (base 20): 𝋦·𝋬·𝋢
Chinese: 二千六百四十二
Chinese (financial): 貳仟陸佰肆拾貳

In other modern scripts

Eastern Arabic ٢٦٤٢ Devanagari २६४२ Bengali ২৬৪২ Tamil ௨௬௪௨ Thai ๒๖๔๒ Tibetan ༢༦༤༢ Khmer ២៦៤២ Lao ໒໖໔໒ Burmese ၂၆၄၂

Digit at this position in famous constants

π — Pi (π): Digit 2,642 = 6
e — Euler's number (e): Digit 2,642 = 0
φ — Golden ratio (φ): Digit 2,642 = 5
√2 — Pythagoras's (√2): Digit 2,642 = 0
ln 2 — Natural log of 2: Digit 2,642 = 2
γ — Euler-Mascheroni (γ): Digit 2,642 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2642, here are decompositions:

103 + 2539 = 2642
139 + 2503 = 2642
271 + 2371 = 2642
331 + 2311 = 2642
349 + 2293 = 2642
373 + 2269 = 2642
421 + 2221 = 2642
439 + 2203 = 2642

Showing the first eight; more decompositions exist.

Hex color

#000A52

RGB(0, 10, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.82.

Address: 0.0.10.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.82

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

Musical pitch

Heard as a frequency, 2,642 Hz is closest to:

Concert pitch (A4 = 440 Hz): E7 (2637 Hz, +3¢)
Scientific pitch (C4 = 256 Hz): E7 (2580.3 Hz, +41¢)
Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, +5¢)

Position in π

The digit sequence 2642 first appears in π at position 819 of the decimal expansion (the 819ordinal-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 2642 on Pi Search ↗