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139,133

139,133 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.).

139,133 (one hundred thirty-nine thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21F7D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
243
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
331,931
Recamán's sequence
a(490,561) = 139,133
Square (n²)
19,357,991,689
Cube (n³)
2,693,335,457,665,637
Divisor count
2
σ(n) — sum of divisors
139,134
φ(n) — Euler's totient
139,132

Primality

139,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,133)
1 × 139133
First multiples
139,133 · 278,266 (double) · 417,399 · 556,532 · 695,665 · 834,798 · 973,931 · 1,113,064 · 1,252,197 · 1,391,330

Sums & aliquot sequence

As a sum of two squares: 2² + 373²
As consecutive integers: 69,566 + 69,567

Continued fraction of √n

√139,133 = [373; (186, 1, 1, 186, 746)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand one hundred thirty-three
Ordinal
139133rd
Binary
100001111101111101
Octal
417575
Hexadecimal
0x21F7D
Base64
Ah99
One's complement
4,294,828,162 (32-bit)
Scientific notation
1.39133 × 10⁵
As a duration
139,133 s = 1 day, 14 hours, 38 minutes, 53 seconds
In other bases
ternary (3) 21001212002
quaternary (4) 201331331
quinary (5) 13423013
senary (6) 2552045
septenary (7) 1116431
nonary (9) 231762
undecimal (11) 95595
duodecimal (12) 68625
tridecimal (13) 4b437
tetradecimal (14) 389c1
pentadecimal (15) 2b358

As an angle

139,133° = 386 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλθρλγʹ
Mayan (base 20)
𝋱·𝋧·𝋰·𝋭
Chinese
一十三萬九千一百三十三
Chinese (financial)
壹拾參萬玖仟壹佰參拾參
In other modern scripts
Eastern Arabic ١٣٩١٣٣ Devanagari १३९१३३ Bengali ১৩৯১৩৩ Tamil ௧௩௯௧௩௩ Thai ๑๓๙๑๓๓ Tibetan ༡༣༩༡༣༣ Khmer ១៣៩១៣៣ Lao ໑໓໙໑໓໓ Burmese ၁၃၉၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡽽
CJK Unified Ideograph-21F7D
U+21F7D
Other letter (Lo)

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

Hex color
#021F7D
RGB(2, 31, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.125.

Address
0.2.31.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.125

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 139,133 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 139133 first appears in π at position 221,475 of the decimal expansion (the 221,475ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.