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137,707

137,707 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.).

137,707 (one hundred thirty-seven thousand seven hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x219EB.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy 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
707,731
Recamán's sequence
a(493,413) = 137,707
Square (n²)
18,963,217,849
Cube (n³)
2,611,367,840,332,243
Divisor count
2
σ(n) — sum of divisors
137,708
φ(n) — Euler's totient
137,706

Primality

137,707 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137707
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,707)
1 × 137707
First multiples
137,707 · 275,414 (double) · 413,121 · 550,828 · 688,535 · 826,242 · 963,949 · 1,101,656 · 1,239,363 · 1,377,070

Sums & aliquot sequence

As consecutive integers: 68,853 + 68,854

Continued fraction of √n

√137,707 = [371; (11, 4, 9, 1, 3, 1, 1, 1, 6, 2, 1, 3, 1, 1, 1, 1, 4, 1, 3, 3, 12, 3, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred seven
Ordinal
137707th
Binary
100001100111101011
Octal
414753
Hexadecimal
0x219EB
Base64
Ahnr
One's complement
4,294,829,588 (32-bit)
Scientific notation
1.37707 × 10⁵
As a duration
137,707 s = 1 day, 14 hours, 15 minutes, 7 seconds
In other bases
ternary (3) 20222220021
quaternary (4) 201213223
quinary (5) 13401312
senary (6) 2541311
septenary (7) 1112323
nonary (9) 228807
undecimal (11) 94509
duodecimal (12) 67837
tridecimal (13) 4a8ab
tetradecimal (14) 38283
pentadecimal (15) 2ac07
Palindromic in base 14

As an angle

137,707° = 382 × 360° + 187°
187° ≈ 3.264 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψζʹ
Mayan (base 20)
𝋱·𝋤·𝋥·𝋧
Chinese
一十三萬七千七百零七
Chinese (financial)
壹拾參萬柒仟柒佰零柒
In other modern scripts
Eastern Arabic ١٣٧٧٠٧ Devanagari १३७७०७ Bengali ১৩৭৭০৭ Tamil ௧௩௭௭௦௭ Thai ๑๓๗๗๐๗ Tibetan ༡༣༧༧༠༧ Khmer ១៣៧៧០៧ Lao ໑໓໗໗໐໗ Burmese ၁၃၇၇၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137713.

Unicode codepoint
𡧫
CJK Unified Ideograph-219Eb
U+219EB
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 AB (4 bytes).

Hex color
#0219EB
RGB(2, 25, 235)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.235.

Address
0.2.25.235
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.235

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 137,707 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.