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138,967

138,967 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.).

138,967 (one hundred thirty-eight thousand nine hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21ED7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
34
Digit product
9,072
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
769,831
Recamán's sequence
a(490,893) = 138,967
Square (n²)
19,311,827,089
Cube (n³)
2,683,706,675,077,063
Divisor count
2
σ(n) — sum of divisors
138,968
φ(n) — Euler's totient
138,966

Primality

138,967 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138967
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,967)
1 × 138967
First multiples
138,967 · 277,934 (double) · 416,901 · 555,868 · 694,835 · 833,802 · 972,769 · 1,111,736 · 1,250,703 · 1,389,670

Sums & aliquot sequence

As consecutive integers: 69,483 + 69,484

Continued fraction of √n

√138,967 = [372; (1, 3, 1, 1, 1, 1, 10, 1, 1, 12, 1, 1, 3, 1, 5, 3, 1, 1, 6, 2, 1, 1, 247, 1, …)]

Representations

In words
one hundred thirty-eight thousand nine hundred sixty-seven
Ordinal
138967th
Binary
100001111011010111
Octal
417327
Hexadecimal
0x21ED7
Base64
Ah7X
One's complement
4,294,828,328 (32-bit)
Scientific notation
1.38967 × 10⁵
As a duration
138,967 s = 1 day, 14 hours, 36 minutes, 7 seconds
In other bases
ternary (3) 21001121221
quaternary (4) 201323113
quinary (5) 13421332
senary (6) 2551211
septenary (7) 1116103
nonary (9) 231557
undecimal (11) 95454
duodecimal (12) 68507
tridecimal (13) 4b33a
tetradecimal (14) 38903
pentadecimal (15) 2b297

As an angle

138,967° = 386 × 360° + 7°
7° ≈ 0.122 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϡξζʹ
Mayan (base 20)
𝋱·𝋧·𝋨·𝋧
Chinese
一十三萬八千九百六十七
Chinese (financial)
壹拾參萬捌仟玖佰陸拾柒
In other modern scripts
Eastern Arabic ١٣٨٩٦٧ Devanagari १३८९६७ Bengali ১৩৮৯৬৭ Tamil ௧௩௮௯௬௭ Thai ๑๓๘๙๖๗ Tibetan ༡༣༨༩༦༧ Khmer ១៣៨៩៦៧ Lao ໑໓໘໙໖໗ Burmese ၁၃၈၉၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡻗
CJK Unified Ideograph-21Ed7
U+21ED7
Other letter (Lo)

UTF-8 encoding: F0 A1 BB 97 (4 bytes).

Hex color
#021ED7
RGB(2, 30, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.215.

Address
0.2.30.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.215

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 138,967 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.