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133,277

133,277 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.).

133,277 (one hundred thirty-three thousand two hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2089D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
772,331
Square (n²)
17,762,758,729
Cube (n³)
2,367,367,195,124,933
Divisor count
2
σ(n) — sum of divisors
133,278
φ(n) — Euler's totient
133,276

Primality

133,277 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133277
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,277)
1 × 133277
First multiples
133,277 · 266,554 (double) · 399,831 · 533,108 · 666,385 · 799,662 · 932,939 · 1,066,216 · 1,199,493 · 1,332,770

Sums & aliquot sequence

As a sum of two squares: 154² + 331²
As consecutive integers: 66,638 + 66,639

Continued fraction of √n

√133,277 = [365; (14, 25, 9, 2, 3, 1, 5, 1, 1, 13, 1, 1, 182, 56, 6, 3, 1, 1, 1, 1, 1, 1, 3, 6, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred seventy-seven
Ordinal
133277th
Binary
100000100010011101
Octal
404235
Hexadecimal
0x2089D
Base64
Agid
One's complement
4,294,834,018 (32-bit)
Scientific notation
1.33277 × 10⁵
As a duration
133,277 s = 1 day, 13 hours, 1 minute, 17 seconds
In other bases
ternary (3) 20202211012
quaternary (4) 200202131
quinary (5) 13231102
senary (6) 2505005
septenary (7) 1063364
nonary (9) 222735
undecimal (11) 91151
duodecimal (12) 65165
tridecimal (13) 48881
tetradecimal (14) 367db
pentadecimal (15) 29752

As an angle

133,277° = 370 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγσοζʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋱
Chinese
一十三萬三千二百七十七
Chinese (financial)
壹拾參萬參仟貳佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٣٢٧٧ Devanagari १३३२७७ Bengali ১৩৩২৭৭ Tamil ௧௩௩௨௭௭ Thai ๑๓๓๒๗๗ Tibetan ༡༣༣༢༧༧ Khmer ១៣៣២៧៧ Lao ໑໓໓໒໗໗ Burmese ၁၃၃၂၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 133279, sexy with 133271.

Unicode codepoint
𠢝
CJK Unified Ideograph-2089D
U+2089D
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 9D (4 bytes).

Hex color
#02089D
RGB(2, 8, 157)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.157.

Address
0.2.8.157
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.157

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 133,277 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 133277 first appears in π at position 501,045 of the decimal expansion (the 501,045ordinal-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.