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133,784

133,784 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.).

133,784 (one hundred thirty-three thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,389. Its proper divisors sum to 153,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A98.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
487,331
Square (n²)
17,898,158,656
Cube (n³)
2,394,487,257,634,304
Divisor count
16
σ(n) — sum of divisors
286,800
φ(n) — Euler's totient
57,312
Sum of prime factors
2,402

Primality

Prime factorization: 2 3 × 7 × 2389

Nearest primes: 133,781 (−3) · 133,801 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2389 · 4778 · 9556 · 16723 · 19112 · 33446 · 66892 (half) · 133784
Aliquot sum (sum of proper divisors): 153,016
Factor pairs (a × b = 133,784)
1 × 133784
2 × 66892
4 × 33446
7 × 19112
8 × 16723
14 × 9556
28 × 4778
56 × 2389
First multiples
133,784 · 267,568 (double) · 401,352 · 535,136 · 668,920 · 802,704 · 936,488 · 1,070,272 · 1,204,056 · 1,337,840

Sums & aliquot sequence

As consecutive integers: 19,109 + 19,110 + … + 19,115 8,354 + 8,355 + … + 8,369 1,139 + 1,140 + … + 1,250
Aliquot sequence: 133,784 153,016 143,624 146,596 114,252 152,364 203,180 223,540 245,936 256,264 230,456 201,664 218,960 423,856 413,144 380,176 356,446 — unresolved within range

Continued fraction of √n

√133,784 = [365; (1, 3, 3, 1, 13, 3, 3, 2, 1, 5, 1, 3, 2, 10, 1, 4, 3, 5, 36, 2, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred eighty-four
Ordinal
133784th
Binary
100000101010011000
Octal
405230
Hexadecimal
0x20A98
Base64
AgqY
One's complement
4,294,833,511 (32-bit)
Scientific notation
1.33784 × 10⁵
As a duration
133,784 s = 1 day, 13 hours, 9 minutes, 44 seconds
In other bases
ternary (3) 20210111222
quaternary (4) 200222120
quinary (5) 13240114
senary (6) 2511212
septenary (7) 1065020
nonary (9) 223458
undecimal (11) 91572
duodecimal (12) 65508
tridecimal (13) 48b81
tetradecimal (14) 36a80
pentadecimal (15) 2998e

As an angle

133,784° = 371 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψπδʹ
Mayan (base 20)
𝋰·𝋮·𝋩·𝋤
Chinese
一十三萬三千七百八十四
Chinese (financial)
壹拾參萬參仟柒佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٣٧٨٤ Devanagari १३३७८४ Bengali ১৩৩৭৮৪ Tamil ௧௩௩௭௮௪ Thai ๑๓๓๗๘๔ Tibetan ༡༣༣༧༨༤ Khmer ១៣៣៧៨៤ Lao ໑໓໓໗໘໔ Burmese ၁၃၃၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133784, here are decompositions:

  • 3 + 133781 = 133784
  • 61 + 133723 = 133784
  • 67 + 133717 = 133784
  • 73 + 133711 = 133784
  • 127 + 133657 = 133784
  • 151 + 133633 = 133784
  • 241 + 133543 = 133784
  • 337 + 133447 = 133784

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪘
CJK Unified Ideograph-20A98
U+20A98
Other letter (Lo)

UTF-8 encoding: F0 A0 AA 98 (4 bytes).

Hex color
#020A98
RGB(2, 10, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.152.

Address
0.2.10.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.152

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 133,784 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 133784 first appears in π at position 554,393 of the decimal expansion (the 554,393ordinal-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

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