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138,493

138,493 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.).

138,493 (one hundred thirty-eight thousand four hundred ninety-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21CFD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,592
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
394,831
Recamán's sequence
a(491,841) = 138,493
Square (n²)
19,180,311,049
Cube (n³)
2,656,338,818,109,157
Divisor count
2
σ(n) — sum of divisors
138,494
φ(n) — Euler's totient
138,492

Primality

138,493 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138493
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,493)
1 × 138493
First multiples
138,493 · 276,986 (double) · 415,479 · 553,972 · 692,465 · 830,958 · 969,451 · 1,107,944 · 1,246,437 · 1,384,930

Sums & aliquot sequence

As a sum of two squares: 82² + 363²
As consecutive integers: 69,246 + 69,247

Continued fraction of √n

√138,493 = [372; (6, 1, 4, 1, 3, 1, 1, 2, 1, 5, 3, 1, 1, 8, 2, 1, 1, 61, 2, 3, 67, 2, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand four hundred ninety-three
Ordinal
138493rd
Binary
100001110011111101
Octal
416375
Hexadecimal
0x21CFD
Base64
Ahz9
One's complement
4,294,828,802 (32-bit)
Scientific notation
1.38493 × 10⁵
As a duration
138,493 s = 1 day, 14 hours, 28 minutes, 13 seconds
In other bases
ternary (3) 21000222101
quaternary (4) 201303331
quinary (5) 13412433
senary (6) 2545101
septenary (7) 1114525
nonary (9) 230871
undecimal (11) 95063
duodecimal (12) 68191
tridecimal (13) 4b064
tetradecimal (14) 38685
pentadecimal (15) 2b07d

As an angle

138,493° = 384 × 360° + 253°
253° ≈ 4.416 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληυϟγʹ
Mayan (base 20)
𝋱·𝋦·𝋤·𝋭
Chinese
一十三萬八千四百九十三
Chinese (financial)
壹拾參萬捌仟肆佰玖拾參
In other modern scripts
Eastern Arabic ١٣٨٤٩٣ Devanagari १३८४९३ Bengali ১৩৮৪৯৩ Tamil ௧௩௮௪௯௩ Thai ๑๓๘๔๙๓ Tibetan ༡༣༨༤༩༣ Khmer ១៣៨៤៩៣ Lao ໑໓໘໔໙໓ Burmese ၁၃၈၄၉၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138497.

Unicode codepoint
𡳽
CJK Unified Ideograph-21Cfd
U+21CFD
Other letter (Lo)

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

Hex color
#021CFD
RGB(2, 28, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.253.

Address
0.2.28.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.253

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 138,493 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 138493 first appears in π at position 400,302 of the decimal expansion (the 400,302ordinal-suffix:nd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.