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137,933

137,933 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.).

137,933 (one hundred thirty-seven thousand nine hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21ACD.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,701
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
339,731
Recamán's sequence
a(492,961) = 137,933
Square (n²)
19,025,512,489
Cube (n³)
2,624,246,014,145,237
Divisor count
2
σ(n) — sum of divisors
137,934
φ(n) — Euler's totient
137,932

Primality

137,933 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137933
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,933)
1 × 137933
First multiples
137,933 · 275,866 (double) · 413,799 · 551,732 · 689,665 · 827,598 · 965,531 · 1,103,464 · 1,241,397 · 1,379,330

Sums & aliquot sequence

As a sum of two squares: 83² + 362²
As consecutive integers: 68,966 + 68,967

Continued fraction of √n

√137,933 = [371; (2, 1, 1, 5, 2, 1, 1, 3, 1, 1, 23, 2, 1, 1, 185, 10, 5, 1, 8, 8, 1, 5, 10, 185, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred thirty-three
Ordinal
137933rd
Binary
100001101011001101
Octal
415315
Hexadecimal
0x21ACD
Base64
AhrN
One's complement
4,294,829,362 (32-bit)
Scientific notation
1.37933 × 10⁵
As a duration
137,933 s = 1 day, 14 hours, 18 minutes, 53 seconds
In other bases
ternary (3) 21000012122
quaternary (4) 201223031
quinary (5) 13403213
senary (6) 2542325
septenary (7) 1113065
nonary (9) 230178
undecimal (11) 946a4
duodecimal (12) 679a5
tridecimal (13) 4aa23
tetradecimal (14) 383a5
pentadecimal (15) 2ad08

As an angle

137,933° = 383 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡλγʹ
Mayan (base 20)
𝋱·𝋤·𝋰·𝋭
Chinese
一十三萬七千九百三十三
Chinese (financial)
壹拾參萬柒仟玖佰參拾參
In other modern scripts
Eastern Arabic ١٣٧٩٣٣ Devanagari १३७९३३ Bengali ১৩৭৯৩৩ Tamil ௧௩௭௯௩௩ Thai ๑๓๗๙๓๓ Tibetan ༡༣༧༩༣༣ Khmer ១៣៧៩៣៣ Lao ໑໓໗໙໓໓ Burmese ၁၃၇၉၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137927.

Unicode codepoint
𡫍
CJK Unified Ideograph-21Acd
U+21ACD
Other letter (Lo)

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

Hex color
#021ACD
RGB(2, 26, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.205.

Address
0.2.26.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.205

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 137,933 and was likely granted around 1872.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.