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133,874

133,874 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.).

133,874 (one hundred thirty-three thousand eight hundred seventy-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 19 × 271. Written other ways, in hexadecimal, 0x20AF2.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
478,331
Square (n²)
17,922,247,876
Cube (n³)
2,399,323,012,151,624
Divisor count
16
σ(n) — sum of divisors
228,480
φ(n) — Euler's totient
58,320
Sum of prime factors
305

Primality

Prime factorization: 2 × 13 × 19 × 271

Nearest primes: 133,873 (−1) · 133,877 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 19 · 26 · 38 · 247 · 271 · 494 · 542 · 3523 · 5149 · 7046 · 10298 · 66937 (half) · 133874
Aliquot sum (sum of proper divisors): 94,606
Factor pairs (a × b = 133,874)
1 × 133874
2 × 66937
13 × 10298
19 × 7046
26 × 5149
38 × 3523
247 × 542
271 × 494
First multiples
133,874 · 267,748 (double) · 401,622 · 535,496 · 669,370 · 803,244 · 937,118 · 1,070,992 · 1,204,866 · 1,338,740

Sums & aliquot sequence

As consecutive integers: 33,467 + 33,468 + 33,469 + 33,470 10,292 + 10,293 + … + 10,304 7,037 + 7,038 + … + 7,055 2,549 + 2,550 + … + 2,600
Aliquot sequence: 133,874 94,606 47,306 37,174 18,590 20,938 13,352 11,698 5,852 7,588 7,644 14,700 34,776 80,424 137,586 149,838 194,898 — unresolved within range

Continued fraction of √n

√133,874 = [365; (1, 7, 1, 12, 2, 2, 2, 12, 1, 7, 1, 730)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred seventy-four
Ordinal
133874th
Binary
100000101011110010
Octal
405362
Hexadecimal
0x20AF2
Base64
Agry
One's complement
4,294,833,421 (32-bit)
Scientific notation
1.33874 × 10⁵
As a duration
133,874 s = 1 day, 13 hours, 11 minutes, 14 seconds
In other bases
ternary (3) 20210122022
quaternary (4) 200223302
quinary (5) 13240444
senary (6) 2511442
septenary (7) 1065206
nonary (9) 223568
undecimal (11) 91644
duodecimal (12) 65582
tridecimal (13) 48c20
tetradecimal (14) 36b06
pentadecimal (15) 299ee

As an angle

133,874° = 371 × 360° + 314°
314° ≈ 5.48 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωοδʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋮
Chinese
一十三萬三千八百七十四
Chinese (financial)
壹拾參萬參仟捌佰柒拾肆
In other modern scripts
Eastern Arabic ١٣٣٨٧٤ Devanagari १३३८७४ Bengali ১৩৩৮৭৪ Tamil ௧௩௩௮௭௪ Thai ๑๓๓๘๗๔ Tibetan ༡༣༣༨༧༤ Khmer ១៣៣៨៧៤ Lao ໑໓໓໘໗໔ Burmese ၁၃၃၈၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133874, here are decompositions:

  • 31 + 133843 = 133874
  • 43 + 133831 = 133874
  • 61 + 133813 = 133874
  • 73 + 133801 = 133874
  • 151 + 133723 = 133874
  • 157 + 133717 = 133874
  • 163 + 133711 = 133874
  • 241 + 133633 = 133874

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫲
CJK Unified Ideograph-20Af2
U+20AF2
Other letter (Lo)

UTF-8 encoding: F0 A0 AB B2 (4 bytes).

Hex color
#020AF2
RGB(2, 10, 242)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.242.

Address
0.2.10.242
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.242

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 133,874 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 133874 first appears in π at position 792,508 of the decimal expansion (the 792,508ordinal-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

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