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138,829

138,829 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.).

138,829 (one hundred thirty-eight thousand eight hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21E4D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,456
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
928,831
Recamán's sequence
a(491,169) = 138,829
Square (n²)
19,273,491,241
Cube (n³)
2,675,719,515,496,789
Divisor count
2
σ(n) — sum of divisors
138,830
φ(n) — Euler's totient
138,828

Primality

138,829 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138829
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,829)
1 × 138829
First multiples
138,829 · 277,658 (double) · 416,487 · 555,316 · 694,145 · 832,974 · 971,803 · 1,110,632 · 1,249,461 · 1,388,290

Sums & aliquot sequence

As a sum of two squares: 173² + 330²
As consecutive integers: 69,414 + 69,415

Continued fraction of √n

√138,829 = [372; (1, 1, 2, 16, 1, 1, 6, 2, 1, 1, 2, 10, 2, 2, 2, 2, 1, 2, 1, 2, 8, 148, 1, 11, …)]

Representations

In words
one hundred thirty-eight thousand eight hundred twenty-nine
Ordinal
138829th
Binary
100001111001001101
Octal
417115
Hexadecimal
0x21E4D
Base64
Ah5N
One's complement
4,294,828,466 (32-bit)
Scientific notation
1.38829 × 10⁵
As a duration
138,829 s = 1 day, 14 hours, 33 minutes, 49 seconds
In other bases
ternary (3) 21001102211
quaternary (4) 201321031
quinary (5) 13420304
senary (6) 2550421
septenary (7) 1115515
nonary (9) 231384
undecimal (11) 95339
duodecimal (12) 68411
tridecimal (13) 4b262
tetradecimal (14) 38845
pentadecimal (15) 2b204

As an angle

138,829° = 385 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληωκθʹ
Mayan (base 20)
𝋱·𝋧·𝋡·𝋩
Chinese
一十三萬八千八百二十九
Chinese (financial)
壹拾參萬捌仟捌佰貳拾玖
In other modern scripts
Eastern Arabic ١٣٨٨٢٩ Devanagari १३८८२९ Bengali ১৩৮৮২৯ Tamil ௧௩௮௮௨௯ Thai ๑๓๘๘๒๙ Tibetan ༡༣༨༨༢༩ Khmer ១៣៨៨២៩ Lao ໑໓໘໘໒໙ Burmese ၁၃၈၈၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡹍
CJK Unified Ideograph-21E4D
U+21E4D
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 8D (4 bytes).

Hex color
#021E4D
RGB(2, 30, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.77.

Address
0.2.30.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.77

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 138,829 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.