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2,159

2,159 is a composite number, odd.

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.).

2,159 (two thousand one hundred fifty-nine) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 17 × 127. Written other ways, in Roman numerals it is MMCLIX and in binary, 100001101111.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
90
Digital root
8
Palindrome
No
Bit width
12 bits
Reversed
9,512
Recamán's sequence
a(3,433) = 2,159
Square (n²)
4,661,281
Cube (n³)
10,063,705,679
Divisor count
4
σ(n) — sum of divisors
2,304
φ(n) — Euler's totient
2,016
Sum of prime factors
144

Primality

Prime factorization: 17 × 127

Nearest primes: 2,153 (−6) · 2,161 (+2)

Divisors & multiples

All divisors (4)
1 · 17 · 127 · 2159
Aliquot sum (sum of proper divisors): 145
Factor pairs (a × b = 2,159)
1 × 2159
17 × 127
First multiples
2,159 · 4,318 (double) · 6,477 · 8,636 · 10,795 · 12,954 · 15,113 · 17,272 · 19,431 · 21,590

Sums & aliquot sequence

As consecutive integers: 1,079 + 1,080 119 + 120 + … + 135 47 + 48 + … + 80
Aliquot sequence: 2,159 145 35 13 1 0 — terminates at zero

Continued fraction of √n

√2,159 = [46; (2, 6, 1, 1, 1, 6, 2, 92)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
two thousand one hundred fifty-nine
Ordinal
2159th
Roman numeral
MMCLIX
Binary
100001101111
Octal
4157
Hexadecimal
0x86F
Base64
CG8=
One's complement
63,376 (16-bit)
Scientific notation
2.159 × 10³
As a duration
2,159 s = 35 minutes, 59 seconds
In other bases
ternary (3) 2221222
quaternary (4) 201233
quinary (5) 32114
senary (6) 13555
septenary (7) 6203
nonary (9) 2858
undecimal (11) 1693
duodecimal (12) 12bb
tridecimal (13) ca1
tetradecimal (14) b03
pentadecimal (15) 98e
Palindromic in base 3

As an angle

2,159° = 5 × 360° + 359°
359° ≈ 6.266 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρνθʹ
Mayan (base 20)
𝋥·𝋧·𝋳
Chinese
二千一百五十九
Chinese (financial)
貳仟壹佰伍拾玖
In other modern scripts
Eastern Arabic ٢١٥٩ Devanagari २१५९ Bengali ২১৫৯ Tamil ௨௧௫௯ Thai ๒๑๕๙ Tibetan ༢༡༥༩ Khmer ២១៥៩ Lao ໒໑໕໙ Burmese ၂၁၅၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,159 = 3
e — Euler's number (e)
Digit 2,159 = 3
φ — Golden ratio (φ)
Digit 2,159 = 4
√2 — Pythagoras's (√2)
Digit 2,159 = 2
ln 2 — Natural log of 2
Digit 2,159 = 3
γ — Euler-Mascheroni (γ)
Digit 2,159 = 5

Also seen as

Hex color
#00086F
RGB(0, 8, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.111.

Address
0.0.8.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.111

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

Musical pitch

Heard as a frequency, 2,159 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯7 (2217.5 Hz, -46¢ — about midway to C7)
  • Scientific pitch (C4 = 256 Hz): C♯7 (2169.8 Hz, -9¢)
  • Baroque pitch (A4 = 415 Hz): D7 (2215.8 Hz, -45¢ — about midway to C♯7)
Position in π

The digit sequence 2159 first appears in π at position 4,644 of the decimal expansion (the 4,644ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.