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138,371

138,371 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.).

138,371 (one hundred thirty-eight thousand three hundred seventy-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C83.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
173,831
Recamán's sequence
a(492,085) = 138,371
Square (n²)
19,146,533,641
Cube (n³)
2,649,325,006,438,811
Divisor count
2
σ(n) — sum of divisors
138,372
φ(n) — Euler's totient
138,370

Primality

138,371 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138371
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,371)
1 × 138371
First multiples
138,371 · 276,742 (double) · 415,113 · 553,484 · 691,855 · 830,226 · 968,597 · 1,106,968 · 1,245,339 · 1,383,710

Sums & aliquot sequence

As consecutive integers: 69,185 + 69,186

Continued fraction of √n

√138,371 = [371; (1, 56, 4, 2, 1, 3, 1, 2, 2, 4, 3, 1, 1, 19, 1, 1, 5, 1, 2, 1, 5, 8, 2, 10, …)]

Representations

In words
one hundred thirty-eight thousand three hundred seventy-one
Ordinal
138371st
Binary
100001110010000011
Octal
416203
Hexadecimal
0x21C83
Base64
AhyD
One's complement
4,294,828,924 (32-bit)
Scientific notation
1.38371 × 10⁵
As a duration
138,371 s = 1 day, 14 hours, 26 minutes, 11 seconds
In other bases
ternary (3) 21000210212
quaternary (4) 201302003
quinary (5) 13411441
senary (6) 2544335
septenary (7) 1114262
nonary (9) 230725
undecimal (11) 94a62
duodecimal (12) 680ab
tridecimal (13) 4ac9c
tetradecimal (14) 385d9
pentadecimal (15) 2aeeb

As an angle

138,371° = 384 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλητοαʹ
Mayan (base 20)
𝋱·𝋥·𝋲·𝋫
Chinese
一十三萬八千三百七十一
Chinese (financial)
壹拾參萬捌仟參佰柒拾壹
In other modern scripts
Eastern Arabic ١٣٨٣٧١ Devanagari १३८३७१ Bengali ১৩৮৩৭১ Tamil ௧௩௮௩௭௧ Thai ๑๓๘๓๗๑ Tibetan ༡༣༨༣༧༡ Khmer ១៣៨៣៧១ Lao ໑໓໘໓໗໑ Burmese ၁၃၈၃၇၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 138373.

Unicode codepoint
𡲃
CJK Unified Ideograph-21C83
U+21C83
Other letter (Lo)

UTF-8 encoding: F0 A1 B2 83 (4 bytes).

Hex color
#021C83
RGB(2, 28, 131)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.131.

Address
0.2.28.131
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.131

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 138,371 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 138371 first appears in π at position 623,732 of the decimal expansion (the 623,732ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.