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138,389

138,389 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.).

138,389 (one hundred thirty-eight thousand three hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C95.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,184
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
983,831
Recamán's sequence
a(492,049) = 138,389
Square (n²)
19,151,515,321
Cube (n³)
2,650,359,053,757,869
Divisor count
2
σ(n) — sum of divisors
138,390
φ(n) — Euler's totient
138,388

Primality

138,389 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138389
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,389)
1 × 138389
First multiples
138,389 · 276,778 (double) · 415,167 · 553,556 · 691,945 · 830,334 · 968,723 · 1,107,112 · 1,245,501 · 1,383,890

Sums & aliquot sequence

As a sum of two squares: 233² + 290²
As consecutive integers: 69,194 + 69,195

Continued fraction of √n

√138,389 = [372; (148, 1, 4, 29, 1, 1, 3, 1, 1, 1, 5, 3, 4, 1, 7, 1, 16, 43, 1, 2, 2, 2, 8, 2, …)]

Representations

In words
one hundred thirty-eight thousand three hundred eighty-nine
Ordinal
138389th
Binary
100001110010010101
Octal
416225
Hexadecimal
0x21C95
Base64
AhyV
One's complement
4,294,828,906 (32-bit)
Scientific notation
1.38389 × 10⁵
As a duration
138,389 s = 1 day, 14 hours, 26 minutes, 29 seconds
In other bases
ternary (3) 21000211112
quaternary (4) 201302111
quinary (5) 13412024
senary (6) 2544405
septenary (7) 1114316
nonary (9) 230745
undecimal (11) 94a79
duodecimal (12) 68105
tridecimal (13) 4acb4
tetradecimal (14) 3860d
pentadecimal (15) 2b00e

As an angle

138,389° = 384 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητπθʹ
Mayan (base 20)
𝋱·𝋥·𝋳·𝋩
Chinese
一十三萬八千三百八十九
Chinese (financial)
壹拾參萬捌仟參佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٨٣٨٩ Devanagari १३८३८९ Bengali ১৩৮৩৮৯ Tamil ௧௩௮௩௮௯ Thai ๑๓๘๓๘๙ Tibetan ༡༣༨༣༨༩ Khmer ១៣៨៣៨៩ Lao ໑໓໘໓໘໙ Burmese ၁၃၈၃၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡲕
CJK Unified Ideograph-21C95
U+21C95
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 95 (4 bytes).

Hex color
#021C95
RGB(2, 28, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.149.

Address
0.2.28.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.149

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 138,389 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 138389 first appears in π at position 484,849 of the decimal expansion (the 484,849ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.