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136,373

136,373 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.).

136,373 (one hundred thirty-six thousand three hundred seventy-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x214B5.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Left-Truncatable Prime Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
1,134
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
373,631
Square (n²)
18,597,595,129
Cube (n³)
2,536,209,840,527,117
Divisor count
2
σ(n) — sum of divisors
136,374
φ(n) — Euler's totient
136,372

Primality

136,373 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136373
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,373)
1 × 136373
First multiples
136,373 · 272,746 (double) · 409,119 · 545,492 · 681,865 · 818,238 · 954,611 · 1,090,984 · 1,227,357 · 1,363,730

Sums & aliquot sequence

As a sum of two squares: 73² + 362²
As consecutive integers: 68,186 + 68,187

Continued fraction of √n

√136,373 = [369; (3, 2, 13, 1, 3, 2, 3, 1, 1, 1, 3, 13, 1, 13, 184, 1, 1, 2, 1, 56, 10, 10, 56, 1, …)]

Period length 43 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand three hundred seventy-three
Ordinal
136373rd
Binary
100001010010110101
Octal
412265
Hexadecimal
0x214B5
Base64
AhS1
One's complement
4,294,830,922 (32-bit)
Scientific notation
1.36373 × 10⁵
As a duration
136,373 s = 1 day, 13 hours, 52 minutes, 53 seconds
In other bases
ternary (3) 20221001212
quaternary (4) 201102311
quinary (5) 13330443
senary (6) 2531205
septenary (7) 1105406
nonary (9) 227055
undecimal (11) 93506
duodecimal (12) 66b05
tridecimal (13) 4a0c3
tetradecimal (14) 379ad
pentadecimal (15) 2a618

As an angle

136,373° = 378 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛτογʹ
Mayan (base 20)
𝋱·𝋠·𝋲·𝋭
Chinese
一十三萬六千三百七十三
Chinese (financial)
壹拾參萬陸仟參佰柒拾參
In other modern scripts
Eastern Arabic ١٣٦٣٧٣ Devanagari १३६३७३ Bengali ১৩৬৩৭৩ Tamil ௧௩௬௩௭௩ Thai ๑๓๖๓๗๓ Tibetan ༡༣༦༣༧༣ Khmer ១៣៦៣៧៣ Lao ໑໓໖໓໗໓ Burmese ၁၃၆၃၇၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 136379.

Unicode codepoint
𡒵
CJK Unified Ideograph-214B5
U+214B5
Other letter (Lo)

UTF-8 encoding: F0 A1 92 B5 (4 bytes).

Hex color
#0214B5
RGB(2, 20, 181)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.181.

Address
0.2.20.181
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.181

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 136,373 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 136373 first appears in π at position 42,250 of the decimal expansion (the 42,250ordinal-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.