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137,077

137,077 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.).

137,077 (one hundred thirty-seven thousand seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21775.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
770,731
Square (n²)
18,790,103,929
Cube (n³)
2,575,691,076,275,533
Divisor count
2
σ(n) — sum of divisors
137,078
φ(n) — Euler's totient
137,076

Primality

137,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,077)
1 × 137077
First multiples
137,077 · 274,154 (double) · 411,231 · 548,308 · 685,385 · 822,462 · 959,539 · 1,096,616 · 1,233,693 · 1,370,770

Sums & aliquot sequence

As a sum of two squares: 249² + 274²
As consecutive integers: 68,538 + 68,539

Continued fraction of √n

√137,077 = [370; (4, 5, 2, 25, 12, 1, 19, 1, 1, 1, 4, 1, 1, 2, 3, 1, 2, 1, 10, 3, 6, 2, 7, 1, …)]

Representations

In words
one hundred thirty-seven thousand seventy-seven
Ordinal
137077th
Binary
100001011101110101
Octal
413565
Hexadecimal
0x21775
Base64
Ahd1
One's complement
4,294,830,218 (32-bit)
Scientific notation
1.37077 × 10⁵
As a duration
137,077 s = 1 day, 14 hours, 4 minutes, 37 seconds
In other bases
ternary (3) 20222000221
quaternary (4) 201131311
quinary (5) 13341302
senary (6) 2534341
septenary (7) 1110433
nonary (9) 228027
undecimal (11) 93a96
duodecimal (12) 673b1
tridecimal (13) 4a515
tetradecimal (14) 37d53
pentadecimal (15) 2a937

As an angle

137,077° = 380 × 360° + 277°
277° ≈ 4.835 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζοζʹ
Mayan (base 20)
𝋱·𝋢·𝋭·𝋱
Chinese
一十三萬七千零七十七
Chinese (financial)
壹拾參萬柒仟零柒拾柒
In other modern scripts
Eastern Arabic ١٣٧٠٧٧ Devanagari १३७०७७ Bengali ১৩৭০৭৭ Tamil ௧௩௭௦௭௭ Thai ๑๓๗๐๗๗ Tibetan ༡༣༧༠༧༧ Khmer ១៣៧០៧៧ Lao ໑໓໗໐໗໗ Burmese ၁၃၇၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡝵
CJK Unified Ideograph-21775
U+21775
Other letter (Lo)

UTF-8 encoding: F0 A1 9D B5 (4 bytes).

Hex color
#021775
RGB(2, 23, 117)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.117.

Address
0.2.23.117
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.117

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 137,077 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.