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138,337

138,337 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.).

138,337 (one hundred thirty-eight thousand three hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C61.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
733,831
Recamán's sequence
a(492,153) = 138,337
Square (n²)
19,137,125,569
Cube (n³)
2,647,372,539,838,753
Divisor count
2
σ(n) — sum of divisors
138,338
φ(n) — Euler's totient
138,336

Primality

138,337 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138337
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,337)
1 × 138337
First multiples
138,337 · 276,674 (double) · 415,011 · 553,348 · 691,685 · 830,022 · 968,359 · 1,106,696 · 1,245,033 · 1,383,370

Sums & aliquot sequence

As a sum of two squares: 204² + 311²
As consecutive integers: 69,168 + 69,169

Continued fraction of √n

√138,337 = [371; (1, 14, 1, 4, 1, 4, 1, 5, 1, 1, 8, 92, 1, 6, 1, 1, 9, 1, 1, 1, 10, 2, 4, 4, …)]

Representations

In words
one hundred thirty-eight thousand three hundred thirty-seven
Ordinal
138337th
Binary
100001110001100001
Octal
416141
Hexadecimal
0x21C61
Base64
Ahxh
One's complement
4,294,828,958 (32-bit)
Scientific notation
1.38337 × 10⁵
As a duration
138,337 s = 1 day, 14 hours, 25 minutes, 37 seconds
In other bases
ternary (3) 21000202121
quaternary (4) 201301201
quinary (5) 13411322
senary (6) 2544241
septenary (7) 1114213
nonary (9) 230677
undecimal (11) 94a31
duodecimal (12) 68081
tridecimal (13) 4ac74
tetradecimal (14) 385b3
pentadecimal (15) 2aec7

As an angle

138,337° = 384 × 360° + 97°
97° ≈ 1.693 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητλζʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋱
Chinese
一十三萬八千三百三十七
Chinese (financial)
壹拾參萬捌仟參佰參拾柒
In other modern scripts
Eastern Arabic ١٣٨٣٣٧ Devanagari १३८३३७ Bengali ১৩৮৩৩৭ Tamil ௧௩௮௩௩௭ Thai ๑๓๘๓๓๗ Tibetan ༡༣༨༣༣༧ Khmer ១៣៨៣៣៧ Lao ໑໓໘໓໓໗ Burmese ၁၃၈၃၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡱡
CJK Unified Ideograph-21C61
U+21C61
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 A1 (4 bytes).

Hex color
#021C61
RGB(2, 28, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.97.

Address
0.2.28.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.97

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 138,337 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.