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138,559

138,559 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.).

138,559 (one hundred thirty-eight thousand five hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21D3F.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
5,400
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
955,831
Recamán's sequence
a(491,709) = 138,559
Square (n²)
19,198,596,481
Cube (n³)
2,660,138,329,810,879
Divisor count
2
σ(n) — sum of divisors
138,560
φ(n) — Euler's totient
138,558

Primality

138,559 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 138559
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 138,559)
1 × 138559
First multiples
138,559 · 277,118 (double) · 415,677 · 554,236 · 692,795 · 831,354 · 969,913 · 1,108,472 · 1,247,031 · 1,385,590

Sums & aliquot sequence

As consecutive integers: 69,279 + 69,280

Continued fraction of √n

√138,559 = [372; (4, 3, 1, 21, 1, 3, 1, 7, 4, 1, 5, 17, 1, 1, 4, 5, 17, 8, 4, 1, 2, 8, 1, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred fifty-nine
Ordinal
138559th
Binary
100001110100111111
Octal
416477
Hexadecimal
0x21D3F
Base64
Ah0/
One's complement
4,294,828,736 (32-bit)
Scientific notation
1.38559 × 10⁵
As a duration
138,559 s = 1 day, 14 hours, 29 minutes, 19 seconds
In other bases
ternary (3) 21001001211
quaternary (4) 201310333
quinary (5) 13413214
senary (6) 2545251
septenary (7) 1114651
nonary (9) 231054
undecimal (11) 95113
duodecimal (12) 68227
tridecimal (13) 4b0b5
tetradecimal (14) 386d1
pentadecimal (15) 2b0c4

As an angle

138,559° = 384 × 360° + 319°
319° ≈ 5.568 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφνθʹ
Mayan (base 20)
𝋱·𝋦·𝋧·𝋳
Chinese
一十三萬八千五百五十九
Chinese (financial)
壹拾參萬捌仟伍佰伍拾玖
In other modern scripts
Eastern Arabic ١٣٨٥٥٩ Devanagari १३८५५९ Bengali ১৩৮৫৫৯ Tamil ௧௩௮௫௫௯ Thai ๑๓๘๕๕๙ Tibetan ༡༣༨༥༥༩ Khmer ១៣៨៥៥៩ Lao ໑໓໘໕໕໙ Burmese ၁၃၈၅၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 138563.

Unicode codepoint
𡴿
CJK Unified Ideograph-21D3F
U+21D3F
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 BF (4 bytes).

Hex color
#021D3F
RGB(2, 29, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.63.

Address
0.2.29.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.63

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 138,559 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 138559 first appears in π at position 395,869 of the decimal expansion (the 395,869ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.