number.wiki
Live analysis

133,776

133,776 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.).

133,776 (one hundred thirty-three thousand seven hundred seventy-six) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 929. Its proper divisors sum to 241,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A90.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,646
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
677,331
Square (n²)
17,896,018,176
Cube (n³)
2,394,057,727,512,576
Divisor count
30
σ(n) — sum of divisors
374,790
φ(n) — Euler's totient
44,544
Sum of prime factors
943

Primality

Prime factorization: 2 4 × 3 2 × 929

Nearest primes: 133,769 (−7) · 133,781 (+5)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 929 · 1858 · 2787 · 3716 · 5574 · 7432 · 8361 · 11148 · 14864 · 16722 · 22296 · 33444 · 44592 · 66888 (half) · 133776
Aliquot sum (sum of proper divisors): 241,014
Factor pairs (a × b = 133,776)
1 × 133776
2 × 66888
3 × 44592
4 × 33444
6 × 22296
8 × 16722
9 × 14864
12 × 11148
16 × 8361
18 × 7432
24 × 5574
36 × 3716
48 × 2787
72 × 1858
144 × 929
First multiples
133,776 · 267,552 (double) · 401,328 · 535,104 · 668,880 · 802,656 · 936,432 · 1,070,208 · 1,203,984 · 1,337,760

Sums & aliquot sequence

As a sum of two squares: 240² + 276²
As consecutive integers: 44,591 + 44,592 + 44,593 14,860 + 14,861 + … + 14,868 4,165 + 4,166 + … + 4,196 1,346 + 1,347 + … + 1,441
Aliquot sequence: 133,776 241,014 241,026 274,734 320,562 437,598 700,578 817,380 1,803,420 3,818,196 5,983,596 9,361,188 14,395,272 21,592,968 35,231,832 60,964,008 125,659,992 — unresolved within range

Continued fraction of √n

√133,776 = [365; (1, 3, 15, 3, 5, 2, 1, 1, 2, 1, 15, 1, 9, 2, 1, 3, 8, 1, 6, 1, 4, 4, 1, 5, …)]

Representations

In words
one hundred thirty-three thousand seven hundred seventy-six
Ordinal
133776th
Binary
100000101010010000
Octal
405220
Hexadecimal
0x20A90
Base64
AgqQ
One's complement
4,294,833,519 (32-bit)
Scientific notation
1.33776 × 10⁵
As a duration
133,776 s = 1 day, 13 hours, 9 minutes, 36 seconds
In other bases
ternary (3) 20210111200
quaternary (4) 200222100
quinary (5) 13240101
senary (6) 2511200
septenary (7) 1065006
nonary (9) 223450
undecimal (11) 91565
duodecimal (12) 65500
tridecimal (13) 48b76
tetradecimal (14) 36a76
pentadecimal (15) 29986

As an angle

133,776° = 371 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψοϛʹ
Mayan (base 20)
𝋰·𝋮·𝋨·𝋰
Chinese
一十三萬三千七百七十六
Chinese (financial)
壹拾參萬參仟柒佰柒拾陸
In other modern scripts
Eastern Arabic ١٣٣٧٧٦ Devanagari १३३७७६ Bengali ১৩৩৭৭৬ Tamil ௧௩௩௭௭௬ Thai ๑๓๓๗๗๖ Tibetan ༡༣༣༧༧༦ Khmer ១៣៣៧៧៦ Lao ໑໓໓໗໗໖ Burmese ၁၃၃၇၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133776, here are decompositions:

  • 7 + 133769 = 133776
  • 43 + 133733 = 133776
  • 53 + 133723 = 133776
  • 59 + 133717 = 133776
  • 67 + 133709 = 133776
  • 79 + 133697 = 133776
  • 103 + 133673 = 133776
  • 107 + 133669 = 133776

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪐
CJK Unified Ideograph-20A90
U+20A90
Other letter (Lo)

UTF-8 encoding: F0 A0 AA 90 (4 bytes).

Hex color
#020A90
RGB(2, 10, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.144.

Address
0.2.10.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.144

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 133,776 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 133776 first appears in π at position 222,222 of the decimal expansion (the 222,222ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.