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139,589

139,589 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.).

139,589 (one hundred thirty-nine thousand five hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22145.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
35
Digit product
9,720
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
985,931
Recamán's sequence
a(489,649) = 139,589
Square (n²)
19,485,088,921
Cube (n³)
2,719,904,077,393,469
Divisor count
2
σ(n) — sum of divisors
139,590
φ(n) — Euler's totient
139,588

Primality

139,589 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139589
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,589)
1 × 139589
First multiples
139,589 · 279,178 (double) · 418,767 · 558,356 · 697,945 · 837,534 · 977,123 · 1,116,712 · 1,256,301 · 1,395,890

Sums & aliquot sequence

As a sum of two squares: 70² + 367²
As consecutive integers: 69,794 + 69,795

Continued fraction of √n

√139,589 = [373; (1, 1, 1, 1, 1, 1, 7, 1, 1, 36, 1, 4, 1, 10, 6, 2, 2, 7, 15, 8, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-nine thousand five hundred eighty-nine
Ordinal
139589th
Binary
100010000101000101
Octal
420505
Hexadecimal
0x22145
Base64
AiFF
One's complement
4,294,827,706 (32-bit)
Scientific notation
1.39589 × 10⁵
As a duration
139,589 s = 1 day, 14 hours, 46 minutes, 29 seconds
In other bases
ternary (3) 21002110222
quaternary (4) 202011011
quinary (5) 13431324
senary (6) 2554125
septenary (7) 1120652
nonary (9) 232428
undecimal (11) 9596a
duodecimal (12) 68945
tridecimal (13) 4b6c8
tetradecimal (14) 38c29
pentadecimal (15) 2b55e

As an angle

139,589° = 387 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθφπθʹ
Mayan (base 20)
𝋱·𝋨·𝋳·𝋩
Chinese
一十三萬九千五百八十九
Chinese (financial)
壹拾參萬玖仟伍佰捌拾玖
In other modern scripts
Eastern Arabic ١٣٩٥٨٩ Devanagari १३९५८९ Bengali ১৩৯৫৮৯ Tamil ௧௩௯௫௮௯ Thai ๑๓๙๕๘๙ Tibetan ༡༣༩༥༨༩ Khmer ១៣៩៥៨៩ Lao ໑໓໙໕໘໙ Burmese ၁၃၉၅၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 139591.

Unicode codepoint
𢅅
CJK Unified Ideograph-22145
U+22145
Other letter (Lo)

UTF-8 encoding: F0 A2 85 85 (4 bytes).

Hex color
#022145
RGB(2, 33, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.69.

Address
0.2.33.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.69

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 139,589 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 139589 first appears in π at position 275,883 of the decimal expansion (the 275,883ordinal-suffix:rd 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.