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137,143

137,143 is a prime, 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.).

137,143 (one hundred thirty-seven thousand one hundred forty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x217B7.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
341,731
Square (n²)
18,808,202,449
Cube (n³)
2,579,413,308,463,207
Divisor count
2
σ(n) — sum of divisors
137,144
φ(n) — Euler's totient
137,142

Primality

137,143 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137143
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,143)
1 × 137143
First multiples
137,143 · 274,286 (double) · 411,429 · 548,572 · 685,715 · 822,858 · 960,001 · 1,097,144 · 1,234,287 · 1,371,430

Sums & aliquot sequence

As consecutive integers: 68,571 + 68,572

Continued fraction of √n

√137,143 = [370; (3, 21, 2, 4, 1, 1, 2, 2, 5, 1, 6, 12, 1, 5, 1, 1, 2, 1, 11, 1, 5, 9, 1, 42, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred forty-three
Ordinal
137143rd
Binary
100001011110110111
Octal
413667
Hexadecimal
0x217B7
Base64
Ahe3
One's complement
4,294,830,152 (32-bit)
Scientific notation
1.37143 × 10⁵
As a duration
137,143 s = 1 day, 14 hours, 5 minutes, 43 seconds
In other bases
ternary (3) 20222010101
quaternary (4) 201132313
quinary (5) 13342033
senary (6) 2534531
septenary (7) 1110556
nonary (9) 228111
undecimal (11) 94046
duodecimal (12) 67447
tridecimal (13) 4a566
tetradecimal (14) 37d9d
pentadecimal (15) 2a97d

As an angle

137,143° = 380 × 360° + 343°
343° ≈ 5.986 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρμγʹ
Mayan (base 20)
𝋱·𝋢·𝋱·𝋣
Chinese
一十三萬七千一百四十三
Chinese (financial)
壹拾參萬柒仟壹佰肆拾參
In other modern scripts
Eastern Arabic ١٣٧١٤٣ Devanagari १३७१४३ Bengali ১৩৭১৪৩ Tamil ௧௩௭௧௪௩ Thai ๑๓๗๑๔๓ Tibetan ༡༣༧༡༤༣ Khmer ១៣៧១៤៣ Lao ໑໓໗໑໔໓ Burmese ၁၃၇၁၄၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137147.

Unicode codepoint
𡞷
CJK Unified Ideograph-217B7
U+217B7
Other letter (Lo)

UTF-8 encoding: F0 A1 9E B7 (4 bytes).

Hex color
#0217B7
RGB(2, 23, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.183.

Address
0.2.23.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.183

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 137,143 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 137143 first appears in π at position 861,818 of the decimal expansion (the 861,818ordinal-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.