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138,077

138,077 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.).

138,077 (one hundred thirty-eight thousand seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B5D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
770,831
Recamán's sequence
a(492,673) = 138,077
Square (n²)
19,065,257,929
Cube (n³)
2,632,473,619,062,533
Divisor count
2
σ(n) — sum of divisors
138,078
φ(n) — Euler's totient
138,076

Primality

138,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,077)
1 × 138077
First multiples
138,077 · 276,154 (double) · 414,231 · 552,308 · 690,385 · 828,462 · 966,539 · 1,104,616 · 1,242,693 · 1,380,770

Sums & aliquot sequence

As a sum of two squares: 251² + 274²
As consecutive integers: 69,038 + 69,039

Continued fraction of √n

√138,077 = [371; (1, 1, 2, 2, 1, 2, 2, 3, 1, 8, 1, 7, 5, 1, 1, 4, 1, 7, 2, 1, 7, 2, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand seventy-seven
Ordinal
138077th
Binary
100001101101011101
Octal
415535
Hexadecimal
0x21B5D
Base64
Ahtd
One's complement
4,294,829,218 (32-bit)
Scientific notation
1.38077 × 10⁵
As a duration
138,077 s = 1 day, 14 hours, 21 minutes, 17 seconds
In other bases
ternary (3) 21000101222
quaternary (4) 201231131
quinary (5) 13404302
senary (6) 2543125
septenary (7) 1113362
nonary (9) 230358
undecimal (11) 94815
duodecimal (12) 67aa5
tridecimal (13) 4ab04
tetradecimal (14) 38469
pentadecimal (15) 2ada2
Palindromic in base 15

As an angle

138,077° = 383 × 360° + 197°
197° ≈ 3.438 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληοζʹ
Mayan (base 20)
𝋱·𝋥·𝋣·𝋱
Chinese
一十三萬八千零七十七
Chinese (financial)
壹拾參萬捌仟零柒拾柒
In other modern scripts
Eastern Arabic ١٣٨٠٧٧ Devanagari १३८०७७ Bengali ১৩৮০৭৭ Tamil ௧௩௮௦௭௭ Thai ๑๓๘๐๗๗ Tibetan ༡༣༨༠༧༧ Khmer ១៣៨០៧៧ Lao ໑໓໘໐໗໗ Burmese ၁၃၈၀၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 138079, sexy with 138071.

Unicode codepoint
𡭝
CJK Unified Ideograph-21B5D
U+21B5D
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 9D (4 bytes).

Hex color
#021B5D
RGB(2, 27, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.93.

Address
0.2.27.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.93

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 138,077 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 138077 first appears in π at position 95,954 of the decimal expansion (the 95,954ordinal-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.