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138,323

138,323 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.).

138,323 (one hundred thirty-eight thousand three hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21C53.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
323,831
Recamán's sequence
a(492,181) = 138,323
Square (n²)
19,133,252,329
Cube (n³)
2,646,568,861,904,267
Divisor count
2
σ(n) — sum of divisors
138,324
φ(n) — Euler's totient
138,322

Primality

138,323 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138323
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,323)
1 × 138323
First multiples
138,323 · 276,646 (double) · 414,969 · 553,292 · 691,615 · 829,938 · 968,261 · 1,106,584 · 1,244,907 · 1,383,230

Sums & aliquot sequence

As consecutive integers: 69,161 + 69,162

Continued fraction of √n

√138,323 = [371; (1, 11, 5, 8, 2, 4, 1, 3, 3, 2, 2, 1, 1, 1, 3, 1, 1, 9, 1, 1, 1, 2, 3, 1, …)]

Representations

In words
one hundred thirty-eight thousand three hundred twenty-three
Ordinal
138323rd
Binary
100001110001010011
Octal
416123
Hexadecimal
0x21C53
Base64
AhxT
One's complement
4,294,828,972 (32-bit)
Scientific notation
1.38323 × 10⁵
As a duration
138,323 s = 1 day, 14 hours, 25 minutes, 23 seconds
In other bases
ternary (3) 21000202002
quaternary (4) 201301103
quinary (5) 13411243
senary (6) 2544215
septenary (7) 1114163
nonary (9) 230662
undecimal (11) 94a19
duodecimal (12) 6806b
tridecimal (13) 4ac63
tetradecimal (14) 385a3
pentadecimal (15) 2aeb8

As an angle

138,323° = 384 × 360° + 83°
83° ≈ 1.449 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλητκγʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋣
Chinese
一十三萬八千三百二十三
Chinese (financial)
壹拾參萬捌仟參佰貳拾參
In other modern scripts
Eastern Arabic ١٣٨٣٢٣ Devanagari १३८३२३ Bengali ১৩৮৩২৩ Tamil ௧௩௮௩௨௩ Thai ๑๓๘๓๒๓ Tibetan ༡༣༨༣༢༣ Khmer ១៣៨៣២៣ Lao ໑໓໘໓໒໓ Burmese ၁၃၈၃၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138319.

Unicode codepoint
𡱓
CJK Unified Ideograph-21C53
U+21C53
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 93 (4 bytes).

Hex color
#021C53
RGB(2, 28, 83)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.83.

Address
0.2.28.83
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.83

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 138,323 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 138323 first appears in π at position 875,926 of the decimal expansion (the 875,926ordinal-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.