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133,962

133,962 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.).

133,962 (one hundred thirty-three thousand nine hundred sixty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 83 × 269. Its proper divisors sum to 138,198, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B4A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
972
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
269,331
Square (n²)
17,945,817,444
Cube (n³)
2,404,057,596,433,128
Divisor count
16
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
43,952
Sum of prime factors
357

Primality

Prime factorization: 2 × 3 × 83 × 269

Nearest primes: 133,949 (−13) · 133,963 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 83 · 166 · 249 · 269 · 498 · 538 · 807 · 1614 · 22327 · 44654 · 66981 (half) · 133962
Aliquot sum (sum of proper divisors): 138,198
Factor pairs (a × b = 133,962)
1 × 133962
2 × 66981
3 × 44654
6 × 22327
83 × 1614
166 × 807
249 × 538
269 × 498
First multiples
133,962 · 267,924 (double) · 401,886 · 535,848 · 669,810 · 803,772 · 937,734 · 1,071,696 · 1,205,658 · 1,339,620

Sums & aliquot sequence

As consecutive integers: 44,653 + 44,654 + 44,655 33,489 + 33,490 + 33,491 + 33,492 11,158 + 11,159 + … + 11,169 1,573 + 1,574 + … + 1,655
Aliquot sequence: 133,962 138,198 147,498 185,814 255,594 268,566 300,378 346,758 346,770 555,066 745,734 881,466 899,238 899,250 1,571,790 2,584,194 2,584,206 — unresolved within range

Continued fraction of √n

√133,962 = [366; (122, 732)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred sixty-two
Ordinal
133962nd
Binary
100000101101001010
Octal
405512
Hexadecimal
0x20B4A
Base64
AgtK
One's complement
4,294,833,333 (32-bit)
Scientific notation
1.33962 × 10⁵
As a duration
133,962 s = 1 day, 13 hours, 12 minutes, 42 seconds
In other bases
ternary (3) 20210202120
quaternary (4) 200231022
quinary (5) 13241322
senary (6) 2512110
septenary (7) 1065363
nonary (9) 223676
undecimal (11) 91714
duodecimal (12) 65636
tridecimal (13) 48c8a
tetradecimal (14) 36b6a
pentadecimal (15) 29a5c

As an angle

133,962° = 372 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγϡξβʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋢
Chinese
一十三萬三千九百六十二
Chinese (financial)
壹拾參萬參仟玖佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٣٩٦٢ Devanagari १३३९६२ Bengali ১৩৩৯৬২ Tamil ௧௩௩௯௬௨ Thai ๑๓๓๙๖๒ Tibetan ༡༣༣༩༦༢ Khmer ១៣៣៩៦២ Lao ໑໓໓໙໖໒ Burmese ၁၃၃၉၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133962, here are decompositions:

  • 13 + 133949 = 133962
  • 43 + 133919 = 133962
  • 89 + 133873 = 133962
  • 109 + 133853 = 133962
  • 131 + 133831 = 133962
  • 149 + 133813 = 133962
  • 151 + 133811 = 133962
  • 181 + 133781 = 133962

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭊
CJK Unified Ideograph-20B4A
U+20B4A
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 8A (4 bytes).

Hex color
#020B4A
RGB(2, 11, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.74.

Address
0.2.11.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.74

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 133,962 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 133962 first appears in π at position 369,475 of the decimal expansion (the 369,475ordinal-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

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