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139,033

139,033 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.).

139,033 (one hundred thirty-nine thousand thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21F19.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
330,931
Recamán's sequence
a(490,761) = 139,033
Square (n²)
19,330,175,089
Cube (n³)
2,687,532,233,148,937
Divisor count
2
σ(n) — sum of divisors
139,034
φ(n) — Euler's totient
139,032

Primality

139,033 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139033
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,033)
1 × 139033
First multiples
139,033 · 278,066 (double) · 417,099 · 556,132 · 695,165 · 834,198 · 973,231 · 1,112,264 · 1,251,297 · 1,390,330

Sums & aliquot sequence

As a sum of two squares: 123² + 352²
As consecutive integers: 69,516 + 69,517

Continued fraction of √n

√139,033 = [372; (1, 6, 1, 3, 2, 1, 21, 1, 9, 1, 1, 4, 1, 3, 3, 1, 9, 2, 4, 1, 1, 8, 46, 2, …)]

Representations

In words
one hundred thirty-nine thousand thirty-three
Ordinal
139033rd
Binary
100001111100011001
Octal
417431
Hexadecimal
0x21F19
Base64
Ah8Z
One's complement
4,294,828,262 (32-bit)
Scientific notation
1.39033 × 10⁵
As a duration
139,033 s = 1 day, 14 hours, 37 minutes, 13 seconds
In other bases
ternary (3) 21001201101
quaternary (4) 201330121
quinary (5) 13422113
senary (6) 2551401
septenary (7) 1116226
nonary (9) 231641
undecimal (11) 95504
duodecimal (12) 68561
tridecimal (13) 4b38b
tetradecimal (14) 3894d
pentadecimal (15) 2b2dd

As an angle

139,033° = 386 × 360° + 73°
73° ≈ 1.274 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλθλγʹ
Mayan (base 20)
𝋱·𝋧·𝋫·𝋭
Chinese
一十三萬九千零三十三
Chinese (financial)
壹拾參萬玖仟零參拾參
In other modern scripts
Eastern Arabic ١٣٩٠٣٣ Devanagari १३९०३३ Bengali ১৩৯০৩৩ Tamil ௧௩௯௦௩௩ Thai ๑๓๙๐๓๓ Tibetan ༡༣༩༠༣༣ Khmer ១៣៩០៣៣ Lao ໑໓໙໐໓໓ Burmese ၁၃၉၀၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡼙
CJK Unified Ideograph-21F19
U+21F19
Other letter (Lo)

UTF-8 encoding: F0 A1 BC 99 (4 bytes).

Hex color
#021F19
RGB(2, 31, 25)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.25.

Address
0.2.31.25
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.25

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 139,033 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.