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Number

2,129

2,129 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
9,212
Recamán's sequence
a(3,493) = 2,129
Square (n²)
4,532,641
Cube (n³)
9,649,992,689
Divisor count
2
σ(n) — sum of divisors
2,130
φ(n) — Euler's totient
2,128

Primality

2,129 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 2129
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 2,129)
1 × 2129
First multiples
2,129 · 4,258 (double) · 6,387 · 8,516 · 10,645 · 12,774 · 14,903 · 17,032 · 19,161 · 21,290

Sums & aliquot sequence

As a sum of two squares: 23² + 40²
As consecutive integers: 1,064 + 1,065

Representations

In words
two thousand one hundred twenty-nine
Ordinal
2129th
Roman numeral
MMCXXIX
Binary
100001010001
Octal
4121
Hexadecimal
0x851
Base64
CFE=
One's complement
63,406 (16-bit)
In other bases
ternary (3) 2220212
quaternary (4) 201101
quinary (5) 32004
senary (6) 13505
septenary (7) 6131
nonary (9) 2825
undecimal (11) 1666
duodecimal (12) 1295
tridecimal (13) c7a
tetradecimal (14) ac1
pentadecimal (15) 96e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βρκθʹ
Mayan (base 20)
𝋥·𝋦·𝋩
Chinese
二千一百二十九
Chinese (financial)
貳仟壹佰貳拾玖
In other modern scripts
Eastern Arabic ٢١٢٩ Devanagari २१२९ Bengali ২১২৯ Tamil ௨௧௨௯ Thai ๒๑๒๙ Tibetan ༢༡༢༩ Khmer ២១២៩ Lao ໒໑໒໙ Burmese ၂၁၂၉

Digit at this position in famous constants

π — Pi (π)
Digit 2,129 = 1
e — Euler's number (e)
Digit 2,129 = 2
φ — Golden ratio (φ)
Digit 2,129 = 9
√2 — Pythagoras's (√2)
Digit 2,129 = 6
ln 2 — Natural log of 2
Digit 2,129 = 2
γ — Euler-Mascheroni (γ)
Digit 2,129 = 2

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 2,113 (gap of 16)
  • Next prime: 2,131 (gap of 2)

Pair status: twin with 2131.

Unicode codepoint
Mandaic Letter Asz
U+0851
Other letter (Lo)

UTF-8 encoding: E0 A1 91 (3 bytes).

Hex color
#000851
RGB(0, 8, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.81.

Address
0.0.8.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.81

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

Position in π

The digit sequence 2129 first appears in π at position 711 of the decimal expansion (the 711ordinal-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.