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133,877

133,877 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.).

133,877 (one hundred thirty-three thousand eight 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, 0x20AF5.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,528
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
778,331
Square (n²)
17,923,051,129
Cube (n³)
2,399,484,315,997,133
Divisor count
2
σ(n) — sum of divisors
133,878
φ(n) — Euler's totient
133,876

Primality

133,877 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 133877
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 133,877)
1 × 133877
First multiples
133,877 · 267,754 (double) · 401,631 · 535,508 · 669,385 · 803,262 · 937,139 · 1,071,016 · 1,204,893 · 1,338,770

Sums & aliquot sequence

As a sum of two squares: 119² + 346²
As consecutive integers: 66,938 + 66,939

Continued fraction of √n

√133,877 = [365; (1, 8, 3, 1, 3, 1, 1, 2, 1, 10, 23, 1, 1, 19, 3, 1, 2, 1, 5, 1, 2, 1, 7, 2, …)]

Representations

In words
one hundred thirty-three thousand eight hundred seventy-seven
Ordinal
133877th
Binary
100000101011110101
Octal
405365
Hexadecimal
0x20AF5
Base64
Agr1
One's complement
4,294,833,418 (32-bit)
Scientific notation
1.33877 × 10⁵
As a duration
133,877 s = 1 day, 13 hours, 11 minutes, 17 seconds
In other bases
ternary (3) 20210122102
quaternary (4) 200223311
quinary (5) 13241002
senary (6) 2511445
septenary (7) 1065212
nonary (9) 223572
undecimal (11) 91647
duodecimal (12) 65585
tridecimal (13) 48c23
tetradecimal (14) 36b09
pentadecimal (15) 29a02

As an angle

133,877° = 371 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωοζʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋱
Chinese
一十三萬三千八百七十七
Chinese (financial)
壹拾參萬參仟捌佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٣٨٧٧ Devanagari १३३८७७ Bengali ১৩৩৮৭৭ Tamil ௧௩௩௮௭௭ Thai ๑๓๓๘๗๗ Tibetan ༡༣༣༨༧༧ Khmer ១៣៣៨៧៧ Lao ໑໓໓໘໗໗ Burmese ၁၃၃၈၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 133873.

Unicode codepoint
𠫵
CJK Unified Ideograph-20Af5
U+20AF5
Other letter (Lo)

UTF-8 encoding: F0 A0 AB B5 (4 bytes).

Hex color
#020AF5
RGB(2, 10, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.245.

Address
0.2.10.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.245

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 133,877 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 133877 first appears in π at position 69,083 of the decimal expansion (the 69,083ordinal-suffix:rd 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.