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Number

2,659

2,659 is a prime, odd.

2,659 (two thousand six hundred fifty-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMDCLIX and in binary, 101001100011.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
22
Digit product
540
Digital root
4
Palindrome
No
Bit width
12 bits
Reversed
9,562
Recamán's sequence
a(7,314) = 2,659
Square (n²)
7,070,281
Cube (n³)
18,799,877,179
Divisor count
2
σ(n) — sum of divisors
2,660
φ(n) — Euler's totient
2,658

Primality

2,659 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2659
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,659)
1 × 2659
First multiples
2,659 · 5,318 (double) · 7,977 · 10,636 · 13,295 · 15,954 · 18,613 · 21,272 · 23,931 · 26,590

Sums & aliquot sequence

As consecutive integers: 1,329 + 1,330

Continued fraction of √n

√2,659 = [51; (1, 1, 3, 3, 6, 1, 1, 3, 51, 3, 1, 1, 6, 3, 3, 1, 1, 102)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
two thousand six hundred fifty-nine
Ordinal
2659th
Roman numeral
MMDCLIX
Binary
101001100011
Octal
5143
Hexadecimal
0xA63
Base64
CmM=
One's complement
62,876 (16-bit)
Scientific notation
2.659 × 10³
As a duration
2,659 s = 44 minutes, 19 seconds
In other bases
ternary (3) 10122111
quaternary (4) 221203
quinary (5) 41114
senary (6) 20151
septenary (7) 10516
nonary (9) 3574
undecimal (11) 1aa8
duodecimal (12) 1657
tridecimal (13) 1297
tetradecimal (14) d7d
pentadecimal (15) bc4
Palindromic in base 5, base 14

As an angle

2,659° = 7 × 360° + 139°
139° ≈ 2.426 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βχνθʹ
Mayan (base 20)
𝋦·𝋬·𝋳
Chinese
二千六百五十九
Chinese (financial)
貳仟陸佰伍拾玖
In other modern scripts
Eastern Arabic ٢٦٥٩ Devanagari २६५९ Bengali ২৬৫৯ Tamil ௨௬௫௯ Thai ๒๖๕๙ Tibetan ༢༦༥༩ Khmer ២៦៥៩ Lao ໒໖໕໙ Burmese ၂၆၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,659 = 4
e — Euler's number (e)
Digit 2,659 = 4
φ — Golden ratio (φ)
Digit 2,659 = 2
√2 — Pythagoras's (√2)
Digit 2,659 = 7
ln 2 — Natural log of 2
Digit 2,659 = 2
γ — Euler-Mascheroni (γ)
Digit 2,659 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,657 (gap of 2)
  • Next prime: 2,663 (gap of 4)

Pair status: twin with 2657, cousin with 2663.

Hex color
#000A63
RGB(0, 10, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.99.

Address
0.0.10.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.10.99

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

Musical pitch

Heard as a frequency, 2,659 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E7 (2637 Hz, +14¢)
  • Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, -48¢ — about midway to E7)
  • Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, +16¢)
Position in π

The digit sequence 2659 first appears in π at position 7,635 of the decimal expansion (the 7,635ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.