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133,774

133,774 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.).

133,774 (one hundred thirty-three thousand seven hundred seventy-four) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 211 × 317. Written other ways, in hexadecimal, 0x20A8E.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,764
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
477,331
Square (n²)
17,895,483,076
Cube (n³)
2,393,950,353,008,824
Divisor count
8
σ(n) — sum of divisors
202,248
φ(n) — Euler's totient
66,360
Sum of prime factors
530

Primality

Prime factorization: 2 × 211 × 317

Nearest primes: 133,769 (−5) · 133,781 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 211 · 317 · 422 · 634 · 66887 (half) · 133774
Aliquot sum (sum of proper divisors): 68,474
Factor pairs (a × b = 133,774)
1 × 133774
2 × 66887
211 × 634
317 × 422
First multiples
133,774 · 267,548 (double) · 401,322 · 535,096 · 668,870 · 802,644 · 936,418 · 1,070,192 · 1,203,966 · 1,337,740

Sums & aliquot sequence

As consecutive integers: 33,442 + 33,443 + 33,444 + 33,445 529 + 530 + … + 739 264 + 265 + … + 580
Aliquot sequence: 133,774 68,474 52,294 33,314 16,660 26,432 34,528 39,560 55,480 77,720 105,880 132,440 247,720 361,400 550,000 903,032 1,020,568 — unresolved within range

Continued fraction of √n

√133,774 = [365; (1, 3, 48, 1, 1, 14, 2, 2, 1, 3, 3, 3, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred seventy-four
Ordinal
133774th
Binary
100000101010001110
Octal
405216
Hexadecimal
0x20A8E
Base64
AgqO
One's complement
4,294,833,521 (32-bit)
Scientific notation
1.33774 × 10⁵
As a duration
133,774 s = 1 day, 13 hours, 9 minutes, 34 seconds
In other bases
ternary (3) 20210111121
quaternary (4) 200222032
quinary (5) 13240044
senary (6) 2511154
septenary (7) 1065004
nonary (9) 223447
undecimal (11) 91563
duodecimal (12) 654ba
tridecimal (13) 48b74
tetradecimal (14) 36a74
pentadecimal (15) 29984

As an angle

133,774° = 371 × 360° + 214°
214° ≈ 3.735 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψοδʹ
Mayan (base 20)
𝋰·𝋮·𝋨·𝋮
Chinese
一十三萬三千七百七十四
Chinese (financial)
壹拾參萬參仟柒佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٧٧٤ Devanagari १३३७७४ Bengali ১৩৩৭৭৪ Tamil ௧௩௩௭௭௪ Thai ๑๓๓๗๗๔ Tibetan ༡༣༣༧༧༤ Khmer ១៣៣៧៧៤ Lao ໑໓໓໗໗໔ Burmese ၁၃၃၇၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133774, here are decompositions:

  • 5 + 133769 = 133774
  • 41 + 133733 = 133774
  • 83 + 133691 = 133774
  • 101 + 133673 = 133774
  • 191 + 133583 = 133774
  • 233 + 133541 = 133774
  • 281 + 133493 = 133774
  • 293 + 133481 = 133774

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪎
CJK Unified Ideograph-20A8E
U+20A8E
Other letter (Lo)

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

Hex color
#020A8E
RGB(2, 10, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.142.

Address
0.2.10.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.142

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 133,774 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 133774 first appears in π at position 131,424 of the decimal expansion (the 131,424ordinal-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