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138,107

138,107 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.).

138,107 (one hundred thirty-eight thousand one hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B7B.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
701,831
Recamán's sequence
a(492,613) = 138,107
Square (n²)
19,073,543,449
Cube (n³)
2,634,189,865,111,043
Divisor count
2
σ(n) — sum of divisors
138,108
φ(n) — Euler's totient
138,106

Primality

138,107 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138107
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,107)
1 × 138107
First multiples
138,107 · 276,214 (double) · 414,321 · 552,428 · 690,535 · 828,642 · 966,749 · 1,104,856 · 1,242,963 · 1,381,070

Sums & aliquot sequence

As consecutive integers: 69,053 + 69,054

Continued fraction of √n

√138,107 = [371; (1, 1, 1, 2, 5, 1, 6, 1, 2, 1, 6, 3, 1, 2, 2, 1, 2, 1, 23, 4, 15, 1, 1, 3, …)]

Representations

In words
one hundred thirty-eight thousand one hundred seven
Ordinal
138107th
Binary
100001101101111011
Octal
415573
Hexadecimal
0x21B7B
Base64
Aht7
One's complement
4,294,829,188 (32-bit)
Scientific notation
1.38107 × 10⁵
As a duration
138,107 s = 1 day, 14 hours, 21 minutes, 47 seconds
In other bases
ternary (3) 21000110002
quaternary (4) 201231323
quinary (5) 13404412
senary (6) 2543215
septenary (7) 1113434
nonary (9) 230402
undecimal (11) 94842
duodecimal (12) 67b0b
tridecimal (13) 4ab28
tetradecimal (14) 3848b
pentadecimal (15) 2adc2

As an angle

138,107° = 383 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρζʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋧
Chinese
一十三萬八千一百零七
Chinese (financial)
壹拾參萬捌仟壹佰零柒
In other modern scripts
Eastern Arabic ١٣٨١٠٧ Devanagari १३८१०७ Bengali ১৩৮১০৭ Tamil ௧௩௮௧௦௭ Thai ๑๓๘๑๐๗ Tibetan ༡༣༨༡༠༧ Khmer ១៣៨១០៧ Lao ໑໓໘໑໐໗ Burmese ၁၃၈၁၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138101, sexy with 138113.

Unicode codepoint
𡭻
CJK Unified Ideograph-21B7B
U+21B7B
Other letter (Lo)

UTF-8 encoding: F0 A1 AD BB (4 bytes).

Hex color
#021B7B
RGB(2, 27, 123)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.123.

Address
0.2.27.123
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.123

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 138,107 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 138107 first appears in π at position 16,239 of the decimal expansion (the 16,239ordinal-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.