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133,374

133,374 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.).

133,374 (one hundred thirty-three thousand three hundred seventy-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,229. Its proper divisors sum to 133,386, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208FE.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Self Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
756
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
473,331
Recamán's sequence
a(35,408) = 133,374
Square (n²)
17,788,623,876
Cube (n³)
2,372,539,920,837,624
Divisor count
8
σ(n) — sum of divisors
266,760
φ(n) — Euler's totient
44,456
Sum of prime factors
22,234

Primality

Prime factorization: 2 × 3 × 22229

Nearest primes: 133,351 (−23) · 133,379 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22229 · 44458 · 66687 (half) · 133374
Aliquot sum (sum of proper divisors): 133,386
Factor pairs (a × b = 133,374)
1 × 133374
2 × 66687
3 × 44458
6 × 22229
First multiples
133,374 · 266,748 (double) · 400,122 · 533,496 · 666,870 · 800,244 · 933,618 · 1,066,992 · 1,200,366 · 1,333,740

Sums & aliquot sequence

As consecutive integers: 44,457 + 44,458 + 44,459 33,342 + 33,343 + 33,344 + 33,345 11,109 + 11,110 + … + 11,120
Aliquot sequence: 133,374 133,386 170,742 232,458 280,758 289,338 380,070 642,042 777,402 907,008 1,509,000 3,208,440 6,417,240 13,217,160 36,549,240 98,442,120 239,076,600 — unresolved within range

Continued fraction of √n

√133,374 = [365; (4, 1, 9, 14, 4, 1, 1, 4, 3, 5, 1, 1, 1, 2, 5, 2, 6, 1, 3, 2, 3, 9, 1, 2, …)]

Representations

In words
one hundred thirty-three thousand three hundred seventy-four
Ordinal
133374th
Binary
100000100011111110
Octal
404376
Hexadecimal
0x208FE
Base64
Agj+
One's complement
4,294,833,921 (32-bit)
Scientific notation
1.33374 × 10⁵
As a duration
133,374 s = 1 day, 13 hours, 2 minutes, 54 seconds
In other bases
ternary (3) 20202221210
quaternary (4) 200203332
quinary (5) 13231444
senary (6) 2505250
septenary (7) 1063563
nonary (9) 222853
undecimal (11) 9122a
duodecimal (12) 65226
tridecimal (13) 48927
tetradecimal (14) 3686a
pentadecimal (15) 297b9

As an angle

133,374° = 370 × 360° + 174°
174° ≈ 3.037 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτοδʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋮
Chinese
一十三萬三千三百七十四
Chinese (financial)
壹拾參萬參仟參佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٣٧٤ Devanagari १३३३७४ Bengali ১৩৩৩৭৪ Tamil ௧௩௩௩௭௪ Thai ๑๓๓๓๗๔ Tibetan ༡༣༣༣༧༤ Khmer ១៣៣៣៧៤ Lao ໑໓໓໓໗໔ Burmese ၁၃၃၃၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133374, here are decompositions:

  • 23 + 133351 = 133374
  • 37 + 133337 = 133374
  • 47 + 133327 = 133374
  • 53 + 133321 = 133374
  • 71 + 133303 = 133374
  • 97 + 133277 = 133374
  • 103 + 133271 = 133374
  • 113 + 133261 = 133374

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣾
CJK Unified Ideograph-208Fe
U+208FE
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 BE (4 bytes).

Hex color
#0208FE
RGB(2, 8, 254)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.254.

Address
0.2.8.254
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.254

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 133,374 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 133374 first appears in π at position 186,461 of the decimal expansion (the 186,461ordinal-suffix:st 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°.