Number
2,137
2,137 is a prime, odd.
Properties
- Parity
- Odd
- Digit count
- 4
- Digit sum
- 13
- Digit product
- 42
- Digital root
- 4
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 7,312
- Recamán's sequence
- a(3,477) = 2,137
- Square (n²)
- 4,566,769
- Cube (n³)
- 9,759,185,353
- Divisor count
- 2
- σ(n) — sum of divisors
- 2,138
- φ(n) — Euler's totient
- 2,136
Primality
2,137 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Aliquot sum (sum of proper divisors):
1
First multiples
Sums & aliquot sequence
As a sum of two squares:
29² + 36²
As consecutive integers:
1,068 + 1,069
Representations
- In words
- two thousand one hundred thirty-seven
- Ordinal
- 2137th
- Roman numeral
- MMCXXXVII
- Binary
- 100001011001
- Octal
- 4131
- Hexadecimal
- 0x859
- Base64
- CFk=
- One's complement
- 63,398 (16-bit)
In other bases
ternary (3)
2221011
quaternary (4)
201121
quinary (5)
32022
senary (6)
13521
septenary (7)
6142
nonary (9)
2834
undecimal (11)
1673
duodecimal (12)
12a1
tridecimal (13)
c85
tetradecimal (14)
ac9
pentadecimal (15)
977
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βρλζʹ
- Mayan (base 20)
- 𝋥·𝋦·𝋱
- Chinese
- 二千一百三十七
- Chinese (financial)
- 貳仟壹佰參拾柒
In other modern scripts
Eastern Arabic
٢١٣٧
Devanagari
२१३७
Bengali
২১৩৭
Tamil
௨௧௩௭
Thai
๒๑๓๗
Tibetan
༢༡༣༧
Khmer
២១៣៧
Lao
໒໑໓໗
Burmese
၂၁၃၇
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,137 = 0
- e — Euler's number (e)
- Digit 2,137 = 2
- φ — Golden ratio (φ)
- Digit 2,137 = 0
- √2 — Pythagoras's (√2)
- Digit 2,137 = 2
- ln 2 — Natural log of 2
- Digit 2,137 = 2
- γ — Euler-Mascheroni (γ)
- Digit 2,137 = 6
Also seen as
Prime neighborhood
Unicode codepoint
࡙
Mandaic Affrication Mark
U+0859
Non-spacing mark (Mn)
UTF-8 encoding: E0 A1 99 (3 bytes).
Hex color
#000859
RGB(0, 8, 89)
IPv4 address
As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.89.
- Address
- 0.0.8.89
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.8.89
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Position in π
The digit sequence 2137 first appears in π at position 3,042 of the decimal expansion (the 3,042ordinal-suffix:nd 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.