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138,139

138,139 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.).

138,139 (one hundred thirty-eight thousand one hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21B9B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
648
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
931,831
Recamán's sequence
a(492,549) = 138,139
Square (n²)
19,082,383,321
Cube (n³)
2,636,021,349,579,619
Divisor count
2
σ(n) — sum of divisors
138,140
φ(n) — Euler's totient
138,138

Primality

138,139 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138139
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,139)
1 × 138139
First multiples
138,139 · 276,278 (double) · 414,417 · 552,556 · 690,695 · 828,834 · 966,973 · 1,105,112 · 1,243,251 · 1,381,390

Sums & aliquot sequence

As consecutive integers: 69,069 + 69,070

Continued fraction of √n

√138,139 = [371; (1, 2, 28, 3, 1, 8, 1, 3, 1, 1, 247, 4, 2, 9, 11, 1, 2, 3, 1, 5, 1, 81, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand one hundred thirty-nine
Ordinal
138139th
Binary
100001101110011011
Octal
415633
Hexadecimal
0x21B9B
Base64
Ahub
One's complement
4,294,829,156 (32-bit)
Scientific notation
1.38139 × 10⁵
As a duration
138,139 s = 1 day, 14 hours, 22 minutes, 19 seconds
In other bases
ternary (3) 21000111021
quaternary (4) 201232123
quinary (5) 13410024
senary (6) 2543311
septenary (7) 1113511
nonary (9) 230437
undecimal (11) 94871
duodecimal (12) 67b37
tridecimal (13) 4ab51
tetradecimal (14) 384b1
pentadecimal (15) 2ade4

As an angle

138,139° = 383 × 360° + 259°
259° ≈ 4.52 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρλθʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋳
Chinese
一十三萬八千一百三十九
Chinese (financial)
壹拾參萬捌仟壹佰參拾玖
In other modern scripts
Eastern Arabic ١٣٨١٣٩ Devanagari १३८१३९ Bengali ১৩৮১৩৯ Tamil ௧௩௮௧௩௯ Thai ๑๓๘๑๓๙ Tibetan ༡༣༨༡༣༩ Khmer ១៣៨១៣៩ Lao ໑໓໘໑໓໙ Burmese ၁၃၈၁၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138143.

Unicode codepoint
𡮛
CJK Unified Ideograph-21B9B
U+21B9B
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 9B (4 bytes).

Hex color
#021B9B
RGB(2, 27, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.155.

Address
0.2.27.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.155

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 138,139 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 138139 first appears in π at position 28,921 of the decimal expansion (the 28,921ordinal-suffix:st 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.