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133,574

133,574 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.).

133,574 (one hundred thirty-three thousand five hundred seventy-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7² × 29 × 47. Written other ways, in hexadecimal, 0x209C6.

Arithmetic Number Cube-Free Deficient Number Gapful Number Happy Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,260
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
475,331
Square (n²)
17,842,013,476
Cube (n³)
2,383,229,108,043,224
Divisor count
24
σ(n) — sum of divisors
246,240
φ(n) — Euler's totient
54,096
Sum of prime factors
92

Primality

Prime factorization: 2 × 7 2 × 29 × 47

Nearest primes: 133,571 (−3) · 133,583 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 7 · 14 · 29 · 47 · 49 · 58 · 94 · 98 · 203 · 329 · 406 · 658 · 1363 · 1421 · 2303 · 2726 · 2842 · 4606 · 9541 · 19082 · 66787 (half) · 133574
Aliquot sum (sum of proper divisors): 112,666
Factor pairs (a × b = 133,574)
1 × 133574
2 × 66787
7 × 19082
14 × 9541
29 × 4606
47 × 2842
49 × 2726
58 × 2303
94 × 1421
98 × 1363
203 × 658
329 × 406
First multiples
133,574 · 267,148 (double) · 400,722 · 534,296 · 667,870 · 801,444 · 935,018 · 1,068,592 · 1,202,166 · 1,335,740

Sums & aliquot sequence

As consecutive integers: 33,392 + 33,393 + 33,394 + 33,395 19,079 + 19,080 + … + 19,085 4,757 + 4,758 + … + 4,784 4,592 + 4,593 + … + 4,620
Aliquot sequence: 133,574 112,666 56,336 68,656 83,616 156,288 308,832 502,104 753,216 1,240,176 2,422,288 2,697,920 3,727,264 3,655,076 2,760,844 2,100,740 2,310,856 — unresolved within range

Continued fraction of √n

√133,574 = [365; (2, 10, 1, 2, 1, 14, 5, 1, 3, 1, 1, 5, 2, 14, 2, 5, 1, 1, 3, 1, 5, 14, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred seventy-four
Ordinal
133574th
Binary
100000100111000110
Octal
404706
Hexadecimal
0x209C6
Base64
AgnG
One's complement
4,294,833,721 (32-bit)
Scientific notation
1.33574 × 10⁵
As a duration
133,574 s = 1 day, 13 hours, 6 minutes, 14 seconds
In other bases
ternary (3) 20210020012
quaternary (4) 200213012
quinary (5) 13233244
senary (6) 2510222
septenary (7) 1064300
nonary (9) 223205
undecimal (11) 913a1
duodecimal (12) 65372
tridecimal (13) 48a4c
tetradecimal (14) 36970
pentadecimal (15) 2989e

As an angle

133,574° = 371 × 360° + 14°
14° ≈ 0.244 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφοδʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋮
Chinese
一十三萬三千五百七十四
Chinese (financial)
壹拾參萬參仟伍佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٥٧٤ Devanagari १३३५७४ Bengali ১৩৩৫৭৪ Tamil ௧௩௩௫௭௪ Thai ๑๓๓๕๗๔ Tibetan ༡༣༣༥༧༤ Khmer ១៣៣៥៧៤ Lao ໑໓໓໕໗໔ Burmese ၁၃၃၅၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133574, here are decompositions:

  • 3 + 133571 = 133574
  • 31 + 133543 = 133574
  • 127 + 133447 = 133574
  • 157 + 133417 = 133574
  • 223 + 133351 = 133574
  • 271 + 133303 = 133574
  • 313 + 133261 = 133574
  • 373 + 133201 = 133574

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧆
CJK Unified Ideograph-209C6
U+209C6
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 86 (4 bytes).

Hex color
#0209C6
RGB(2, 9, 198)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.198.

Address
0.2.9.198
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.198

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 133,574 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.