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133,376

133,376 is a composite number, even.

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.).

133,376 (one hundred thirty-three thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2⁸ × 521. Written other ways, in hexadecimal, 0x20900.

Arithmetic Number Deficient Number Frugal Number Gapful Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,134
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
673,331
Recamán's sequence
a(35,412) = 133,376
Square (n²)
17,789,157,376
Cube (n³)
2,372,646,654,181,376
Divisor count
18
σ(n) — sum of divisors
266,742
φ(n) — Euler's totient
66,560
Sum of prime factors
537

Primality

Prime factorization: 2 8 × 521

Nearest primes: 133,351 (−25) · 133,379 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 521 · 1042 · 2084 · 4168 · 8336 · 16672 · 33344 · 66688 (half) · 133376
Aliquot sum (sum of proper divisors): 133,366
Factor pairs (a × b = 133,376)
1 × 133376
2 × 66688
4 × 33344
8 × 16672
16 × 8336
32 × 4168
64 × 2084
128 × 1042
256 × 521
First multiples
133,376 · 266,752 (double) · 400,128 · 533,504 · 666,880 · 800,256 · 933,632 · 1,067,008 · 1,200,384 · 1,333,760

Sums & aliquot sequence

As a sum of two squares: 176² + 320²
As consecutive integers: 5 + 6 + … + 516
Aliquot sequence: 133,376 133,366 66,686 33,346 16,676 15,244 12,420 27,900 62,372 50,524 43,220 47,584 46,160 61,348 63,938 45,694 32,642 — unresolved within range

Continued fraction of √n

√133,376 = [365; (4, 1, 5, 11, 15, 2, 4, 1, 1, 1, 1, 1, 12, 1, 1, 1, 12, 1, 1, 1, 1, 1, 4, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred seventy-six
Ordinal
133376th
Binary
100000100100000000
Octal
404400
Hexadecimal
0x20900
Base64
AgkA
One's complement
4,294,833,919 (32-bit)
Scientific notation
1.33376 × 10⁵
As a duration
133,376 s = 1 day, 13 hours, 2 minutes, 56 seconds
In other bases
ternary (3) 20202221212
quaternary (4) 200210000
quinary (5) 13232001
senary (6) 2505252
septenary (7) 1063565
nonary (9) 222855
undecimal (11) 91231
duodecimal (12) 65228
tridecimal (13) 48929
tetradecimal (14) 3686c
pentadecimal (15) 297bb

As an angle

133,376° = 370 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτοϛʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋰
Chinese
一十三萬三千三百七十六
Chinese (financial)
壹拾參萬參仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٣٣٧٦ Devanagari १३३३७६ Bengali ১৩৩৩৭৬ Tamil ௧௩௩௩௭௬ Thai ๑๓๓๓๗๖ Tibetan ༡༣༣༣༧༦ Khmer ១៣៣៣៧៦ Lao ໑໓໓໓໗໖ Burmese ၁၃၃၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133376, here are decompositions:

  • 73 + 133303 = 133376
  • 97 + 133279 = 133376
  • 163 + 133213 = 133376
  • 193 + 133183 = 133376
  • 223 + 133153 = 133376
  • 307 + 133069 = 133376
  • 337 + 133039 = 133376
  • 409 + 132967 = 133376

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤀
CJK Unified Ideograph-20900
U+20900
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 80 (4 bytes).

Hex color
#020900
RGB(2, 9, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.0.

Address
0.2.9.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.0

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 133,376 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 133376 first appears in π at position 266,049 of the decimal expansion (the 266,049ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.