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133,972

133,972 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.).

133,972 (one hundred thirty-three thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,493. Written other ways, in hexadecimal, 0x20B54.

Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,134
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
279,331
Square (n²)
17,948,496,784
Cube (n³)
2,404,596,011,146,048
Divisor count
6
σ(n) — sum of divisors
234,458
φ(n) — Euler's totient
66,984
Sum of prime factors
33,497

Primality

Prime factorization: 2 2 × 33493

Nearest primes: 133,967 (−5) · 133,979 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33493 · 66986 (half) · 133972
Aliquot sum (sum of proper divisors): 100,486
Factor pairs (a × b = 133,972)
1 × 133972
2 × 66986
4 × 33493
First multiples
133,972 · 267,944 (double) · 401,916 · 535,888 · 669,860 · 803,832 · 937,804 · 1,071,776 · 1,205,748 · 1,339,720

Sums & aliquot sequence

As a sum of two squares: 4² + 366²
As consecutive integers: 16,743 + 16,744 + … + 16,750
Aliquot sequence: 133,972 100,486 53,594 27,814 13,910 13,306 6,656 7,666 3,836 3,892 3,948 6,804 13,580 19,348 19,404 42,840 125,640 — unresolved within range

Continued fraction of √n

√133,972 = [366; (45, 1, 3, 45, 1, 1, 182, 1, 1, 45, 3, 1, 45, 732)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred seventy-two
Ordinal
133972nd
Binary
100000101101010100
Octal
405524
Hexadecimal
0x20B54
Base64
AgtU
One's complement
4,294,833,323 (32-bit)
Scientific notation
1.33972 × 10⁵
As a duration
133,972 s = 1 day, 13 hours, 12 minutes, 52 seconds
In other bases
ternary (3) 20210202221
quaternary (4) 200231110
quinary (5) 13241342
senary (6) 2512124
septenary (7) 1065406
nonary (9) 223687
undecimal (11) 91723
duodecimal (12) 65644
tridecimal (13) 48c97
tetradecimal (14) 36b76
pentadecimal (15) 29a67

As an angle

133,972° = 372 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγϡοβʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋬
Chinese
一十三萬三千九百七十二
Chinese (financial)
壹拾參萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٩٧٢ Devanagari १३३९७२ Bengali ১৩৩৯৭২ Tamil ௧௩௩௯௭௨ Thai ๑๓๓๙๗๒ Tibetan ༡༣༣༩༧༢ Khmer ១៣៣៩៧២ Lao ໑໓໓໙໗໒ Burmese ၁၃၃၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133972, here are decompositions:

  • 5 + 133967 = 133972
  • 23 + 133949 = 133972
  • 53 + 133919 = 133972
  • 191 + 133781 = 133972
  • 239 + 133733 = 133972
  • 263 + 133709 = 133972
  • 281 + 133691 = 133972
  • 389 + 133583 = 133972

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭔
CJK Unified Ideograph-20B54
U+20B54
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 94 (4 bytes).

Hex color
#020B54
RGB(2, 11, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.84.

Address
0.2.11.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.84

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 133,972 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 133972 first appears in π at position 48,484 of the decimal expansion (the 48,484ordinal-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.

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