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137,947

137,947 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.).

137,947 (one hundred thirty-seven thousand nine hundred forty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21ADB.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
5,292
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
749,731
Recamán's sequence
a(492,933) = 137,947
Square (n²)
19,029,374,809
Cube (n³)
2,625,045,166,777,123
Divisor count
2
σ(n) — sum of divisors
137,948
φ(n) — Euler's totient
137,946

Primality

137,947 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137947
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,947)
1 × 137947
First multiples
137,947 · 275,894 (double) · 413,841 · 551,788 · 689,735 · 827,682 · 965,629 · 1,103,576 · 1,241,523 · 1,379,470

Sums & aliquot sequence

As consecutive integers: 68,973 + 68,974

Continued fraction of √n

√137,947 = [371; (2, 2, 2, 1, 7, 1, 4, 1, 26, 1, 2, 6, 1, 17, 3, 1, 15, 19, 2, 15, 1, 1, 1, 19, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred forty-seven
Ordinal
137947th
Binary
100001101011011011
Octal
415333
Hexadecimal
0x21ADB
Base64
Ahrb
One's complement
4,294,829,348 (32-bit)
Scientific notation
1.37947 × 10⁵
As a duration
137,947 s = 1 day, 14 hours, 19 minutes, 7 seconds
In other bases
ternary (3) 21000020011
quaternary (4) 201223123
quinary (5) 13403242
senary (6) 2542351
septenary (7) 1113115
nonary (9) 230204
undecimal (11) 94707
duodecimal (12) 679b7
tridecimal (13) 4aa34
tetradecimal (14) 383b5
pentadecimal (15) 2ad17

As an angle

137,947° = 383 × 360° + 67°
67° ≈ 1.169 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡμζʹ
Mayan (base 20)
𝋱·𝋤·𝋱·𝋧
Chinese
一十三萬七千九百四十七
Chinese (financial)
壹拾參萬柒仟玖佰肆拾柒
In other modern scripts
Eastern Arabic ١٣٧٩٤٧ Devanagari १३७९४७ Bengali ১৩৭৯৪৭ Tamil ௧௩௭௯௪௭ Thai ๑๓๗๙๔๗ Tibetan ༡༣༧༩༤༧ Khmer ១៣៧៩៤៧ Lao ໑໓໗໙໔໗ Burmese ၁၃၇၉၄၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137941.

Unicode codepoint
𡫛
CJK Unified Ideograph-21Adb
U+21ADB
Other letter (Lo)

UTF-8 encoding: F0 A1 AB 9B (4 bytes).

Hex color
#021ADB
RGB(2, 26, 219)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.219.

Address
0.2.26.219
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.219

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 137,947 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.