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138,587

138,587 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.).

138,587 (one hundred thirty-eight thousand five hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21D5B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,720
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
785,831
Recamán's sequence
a(491,653) = 138,587
Square (n²)
19,206,356,569
Cube (n³)
2,661,751,337,828,003
Divisor count
2
σ(n) — sum of divisors
138,588
φ(n) — Euler's totient
138,586

Primality

138,587 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138587
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,587)
1 × 138587
First multiples
138,587 · 277,174 (double) · 415,761 · 554,348 · 692,935 · 831,522 · 970,109 · 1,108,696 · 1,247,283 · 1,385,870

Sums & aliquot sequence

As consecutive integers: 69,293 + 69,294

Continued fraction of √n

√138,587 = [372; (3, 1, 1, 1, 371, 1, 1, 1, 3, 744)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred eighty-seven
Ordinal
138587th
Binary
100001110101011011
Octal
416533
Hexadecimal
0x21D5B
Base64
Ah1b
One's complement
4,294,828,708 (32-bit)
Scientific notation
1.38587 × 10⁵
As a duration
138,587 s = 1 day, 14 hours, 29 minutes, 47 seconds
In other bases
ternary (3) 21001002212
quaternary (4) 201311123
quinary (5) 13413322
senary (6) 2545335
septenary (7) 1115021
nonary (9) 231085
undecimal (11) 95139
duodecimal (12) 6824b
tridecimal (13) 4b107
tetradecimal (14) 38711
pentadecimal (15) 2b0e2

As an angle

138,587° = 384 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφπζʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋧
Chinese
一十三萬八千五百八十七
Chinese (financial)
壹拾參萬捌仟伍佰捌拾柒
In other modern scripts
Eastern Arabic ١٣٨٥٨٧ Devanagari १३८५८७ Bengali ১৩৮৫৮৭ Tamil ௧௩௮௫௮௭ Thai ๑๓๘๕๘๗ Tibetan ༡༣༨༥༨༧ Khmer ១៣៨៥៨៧ Lao ໑໓໘໕໘໗ Burmese ၁၃၈၅၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 138581.

Unicode codepoint
𡵛
CJK Unified Ideograph-21D5B
U+21D5B
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 9B (4 bytes).

Hex color
#021D5B
RGB(2, 29, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.91.

Address
0.2.29.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.91

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 138,587 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.