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133,796

133,796 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.).

133,796 (one hundred thirty-three thousand seven hundred ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 31 × 83. Written other ways, in hexadecimal, 0x20AA4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,402
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
697,331
Square (n²)
17,901,369,616
Cube (n³)
2,395,131,649,142,336
Divisor count
24
σ(n) — sum of divisors
263,424
φ(n) — Euler's totient
59,040
Sum of prime factors
131

Primality

Prime factorization: 2 2 × 13 × 31 × 83

Nearest primes: 133,781 (−15) · 133,801 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 26 · 31 · 52 · 62 · 83 · 124 · 166 · 332 · 403 · 806 · 1079 · 1612 · 2158 · 2573 · 4316 · 5146 · 10292 · 33449 · 66898 (half) · 133796
Aliquot sum (sum of proper divisors): 129,628
Factor pairs (a × b = 133,796)
1 × 133796
2 × 66898
4 × 33449
13 × 10292
26 × 5146
31 × 4316
52 × 2573
62 × 2158
83 × 1612
124 × 1079
166 × 806
332 × 403
First multiples
133,796 · 267,592 (double) · 401,388 · 535,184 · 668,980 · 802,776 · 936,572 · 1,070,368 · 1,204,164 · 1,337,960

Sums & aliquot sequence

As consecutive integers: 16,721 + 16,722 + … + 16,728 10,286 + 10,287 + … + 10,298 4,301 + 4,302 + … + 4,331 1,571 + 1,572 + … + 1,653
Aliquot sequence: 133,796 129,628 107,252 80,446 52,754 32,506 16,256 16,384 16,383 6,145 1,235 445 95 25 6 6 — reaches a perfect number

Continued fraction of √n

√133,796 = [365; (1, 3, 1, 1, 2, 1, 8, 1, 1, 5, 1, 1, 12, 1, 3, 6, 4, 1, 1, 3, 1, 2, 12, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred ninety-six
Ordinal
133796th
Binary
100000101010100100
Octal
405244
Hexadecimal
0x20AA4
Base64
Agqk
One's complement
4,294,833,499 (32-bit)
Scientific notation
1.33796 × 10⁵
As a duration
133,796 s = 1 day, 13 hours, 9 minutes, 56 seconds
In other bases
ternary (3) 20210112102
quaternary (4) 200222210
quinary (5) 13240141
senary (6) 2511232
septenary (7) 1065035
nonary (9) 223472
undecimal (11) 91583
duodecimal (12) 65518
tridecimal (13) 48b90
tetradecimal (14) 36a8c
pentadecimal (15) 2999b

As an angle

133,796° = 371 × 360° + 236°
236° ≈ 4.119 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψϟϛʹ
Mayan (base 20)
𝋰·𝋮·𝋩·𝋰
Chinese
一十三萬三千七百九十六
Chinese (financial)
壹拾參萬參仟柒佰玖拾陸
In other modern scripts
Eastern Arabic ١٣٣٧٩٦ Devanagari १३३७९६ Bengali ১৩৩৭৯৬ Tamil ௧௩௩௭௯௬ Thai ๑๓๓๗๙๖ Tibetan ༡༣༣༧༩༦ Khmer ១៣៣៧៩៦ Lao ໑໓໓໗໙໖ Burmese ၁၃၃၇၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133796, here are decompositions:

  • 73 + 133723 = 133796
  • 79 + 133717 = 133796
  • 127 + 133669 = 133796
  • 139 + 133657 = 133796
  • 163 + 133633 = 133796
  • 199 + 133597 = 133796
  • 277 + 133519 = 133796
  • 349 + 133447 = 133796

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪤
CJK Unified Ideograph-20Aa4
U+20AA4
Other letter (Lo)

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

Hex color
#020AA4
RGB(2, 10, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.164.

Address
0.2.10.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.164

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 133,796 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 133796 first appears in π at position 180,146 of the decimal expansion (the 180,146ordinal-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.