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137,983

137,983 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.).

137,983 (one hundred thirty-seven thousand nine hundred eighty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21AFF.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
4,536
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
389,731
Recamán's sequence
a(492,861) = 137,983
Square (n²)
19,039,308,289
Cube (n³)
2,627,100,875,641,087
Divisor count
2
σ(n) — sum of divisors
137,984
φ(n) — Euler's totient
137,982

Primality

137,983 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137983
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,983)
1 × 137983
First multiples
137,983 · 275,966 (double) · 413,949 · 551,932 · 689,915 · 827,898 · 965,881 · 1,103,864 · 1,241,847 · 1,379,830

Sums & aliquot sequence

As consecutive integers: 68,991 + 68,992

Continued fraction of √n

√137,983 = [371; (2, 5, 1, 5, 1, 2, 27, 6, 18, 1, 7, 1, 1, 2, 4, 3, 3, 1, 5, 3, 1, 2, 11, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred eighty-three
Ordinal
137983rd
Binary
100001101011111111
Octal
415377
Hexadecimal
0x21AFF
Base64
Ahr/
One's complement
4,294,829,312 (32-bit)
Scientific notation
1.37983 × 10⁵
As a duration
137,983 s = 1 day, 14 hours, 19 minutes, 43 seconds
In other bases
ternary (3) 21000021111
quaternary (4) 201223333
quinary (5) 13403413
senary (6) 2542451
septenary (7) 1113166
nonary (9) 230244
undecimal (11) 9473a
duodecimal (12) 67a27
tridecimal (13) 4aa61
tetradecimal (14) 383dd
pentadecimal (15) 2ad3d

As an angle

137,983° = 383 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡπγʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋣
Chinese
一十三萬七千九百八十三
Chinese (financial)
壹拾參萬柒仟玖佰捌拾參
In other modern scripts
Eastern Arabic ١٣٧٩٨٣ Devanagari १३७९८३ Bengali ১৩৭৯৮৩ Tamil ௧௩௭௯௮௩ Thai ๑๓๗๙๘๓ Tibetan ༡༣༧༩༨༣ Khmer ១៣៧៩៨៣ Lao ໑໓໗໙໘໓ Burmese ၁၃၇၉၈၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡫿
CJK Unified Ideograph-21Aff
U+21AFF
Other letter (Lo)

UTF-8 encoding: F0 A1 AB BF (4 bytes).

Hex color
#021AFF
RGB(2, 26, 255)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.255.

Address
0.2.26.255
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.255

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 137,983 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 137983 first appears in π at position 687,520 of the decimal expansion (the 687,520ordinal-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.