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138,739

138,739 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.).

138,739 (one hundred thirty-eight thousand seven hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21DF3.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
4,536
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
937,831
Recamán's sequence
a(491,349) = 138,739
Square (n²)
19,248,510,121
Cube (n³)
2,670,519,045,677,419
Divisor count
2
σ(n) — sum of divisors
138,740
φ(n) — Euler's totient
138,738

Primality

138,739 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138739
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,739)
1 × 138739
First multiples
138,739 · 277,478 (double) · 416,217 · 554,956 · 693,695 · 832,434 · 971,173 · 1,109,912 · 1,248,651 · 1,387,390

Sums & aliquot sequence

As consecutive integers: 69,369 + 69,370

Continued fraction of √n

√138,739 = [372; (2, 10, 3, 2, 1, 2, 2, 1, 1, 4, 2, 2, 2, 1, 3, 2, 5, 12, 1, 7, 1, 2, 1, 4, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred thirty-nine
Ordinal
138739th
Binary
100001110111110011
Octal
416763
Hexadecimal
0x21DF3
Base64
Ah3z
One's complement
4,294,828,556 (32-bit)
Scientific notation
1.38739 × 10⁵
As a duration
138,739 s = 1 day, 14 hours, 32 minutes, 19 seconds
In other bases
ternary (3) 21001022111
quaternary (4) 201313303
quinary (5) 13414424
senary (6) 2550151
septenary (7) 1115326
nonary (9) 231274
undecimal (11) 95267
duodecimal (12) 68357
tridecimal (13) 4b1c3
tetradecimal (14) 387bd
pentadecimal (15) 2b194

As an angle

138,739° = 385 × 360° + 139°
139° ≈ 2.426 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψλθʹ
Mayan (base 20)
𝋱·𝋦·𝋰·𝋳
Chinese
一十三萬八千七百三十九
Chinese (financial)
壹拾參萬捌仟柒佰參拾玖
In other modern scripts
Eastern Arabic ١٣٨٧٣٩ Devanagari १३८७३९ Bengali ১৩৮৭৩৯ Tamil ௧௩௮௭௩௯ Thai ๑๓๘๗๓๙ Tibetan ༡༣༨༧༣༩ Khmer ១៣៨៧៣៩ Lao ໑໓໘໗໓໙ Burmese ၁၃၈၇၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡷳
CJK Unified Ideograph-21Df3
U+21DF3
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 B3 (4 bytes).

Hex color
#021DF3
RGB(2, 29, 243)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.243.

Address
0.2.29.243
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.243

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 138,739 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.