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133,772

133,772 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.).

133,772 (one hundred thirty-three thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 53 × 631. Written other ways, in hexadecimal, 0x20A8C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
277,331
Square (n²)
17,894,947,984
Cube (n³)
2,393,842,981,715,648
Divisor count
12
σ(n) — sum of divisors
238,896
φ(n) — Euler's totient
65,520
Sum of prime factors
688

Primality

Prime factorization: 2 2 × 53 × 631

Nearest primes: 133,769 (−3) · 133,781 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 53 · 106 · 212 · 631 · 1262 · 2524 · 33443 · 66886 (half) · 133772
Aliquot sum (sum of proper divisors): 105,124
Factor pairs (a × b = 133,772)
1 × 133772
2 × 66886
4 × 33443
53 × 2524
106 × 1262
212 × 631
First multiples
133,772 · 267,544 (double) · 401,316 · 535,088 · 668,860 · 802,632 · 936,404 · 1,070,176 · 1,203,948 · 1,337,720

Sums & aliquot sequence

As consecutive integers: 16,718 + 16,719 + … + 16,725 2,498 + 2,499 + … + 2,550 104 + 105 + … + 527
Aliquot sequence: 133,772 105,124 83,624 73,186 47,198 23,602 11,804 10,540 13,652 10,246 5,594 2,800 4,888 5,192 5,608 4,922 2,854 — unresolved within range

Continued fraction of √n

√133,772 = [365; (1, 2, 1, 42, 3, 1, 1, 2, 1, 1, 1, 1, 1, 8, 1, 7, 3, 10, 2, 3, 2, 182, 2, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred seventy-two
Ordinal
133772nd
Binary
100000101010001100
Octal
405214
Hexadecimal
0x20A8C
Base64
AgqM
One's complement
4,294,833,523 (32-bit)
Scientific notation
1.33772 × 10⁵
As a duration
133,772 s = 1 day, 13 hours, 9 minutes, 32 seconds
In other bases
ternary (3) 20210111112
quaternary (4) 200222030
quinary (5) 13240042
senary (6) 2511152
septenary (7) 1065002
nonary (9) 223445
undecimal (11) 91561
duodecimal (12) 654b8
tridecimal (13) 48b72
tetradecimal (14) 36a72
pentadecimal (15) 29982
Palindromic in base 6

As an angle

133,772° = 371 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγψοβʹ
Mayan (base 20)
𝋰·𝋮·𝋨·𝋬
Chinese
一十三萬三千七百七十二
Chinese (financial)
壹拾參萬參仟柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٣٧٧٢ Devanagari १३३७७२ Bengali ১৩৩৭৭২ Tamil ௧௩௩௭௭௨ Thai ๑๓๓๗๗๒ Tibetan ༡༣༣༧༧༢ Khmer ១៣៣៧៧២ Lao ໑໓໓໗໗໒ Burmese ၁၃၃၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133772, here are decompositions:

  • 3 + 133769 = 133772
  • 61 + 133711 = 133772
  • 103 + 133669 = 133772
  • 139 + 133633 = 133772
  • 229 + 133543 = 133772
  • 421 + 133351 = 133772
  • 571 + 133201 = 133772
  • 619 + 133153 = 133772

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪌
CJK Unified Ideograph-20A8C
U+20A8C
Other letter (Lo)

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

Hex color
#020A8C
RGB(2, 10, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.140.

Address
0.2.10.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.140

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 133,772 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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