number.wiki
Live analysis

133,434

133,434 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.).

133,434 (one hundred thirty-three thousand four hundred thirty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 7 × 353. Its proper divisors sum to 206,406, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2093A.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
432
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
434,331
Recamán's sequence
a(35,528) = 133,434
Square (n²)
17,804,632,356
Cube (n³)
2,375,743,313,790,504
Divisor count
32
σ(n) — sum of divisors
339,840
φ(n) — Euler's totient
38,016
Sum of prime factors
371

Primality

Prime factorization: 2 × 3 3 × 7 × 353

Nearest primes: 133,417 (−17) · 133,439 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 126 · 189 · 353 · 378 · 706 · 1059 · 2118 · 2471 · 3177 · 4942 · 6354 · 7413 · 9531 · 14826 · 19062 · 22239 · 44478 · 66717 (half) · 133434
Aliquot sum (sum of proper divisors): 206,406
Factor pairs (a × b = 133,434)
1 × 133434
2 × 66717
3 × 44478
6 × 22239
7 × 19062
9 × 14826
14 × 9531
18 × 7413
21 × 6354
27 × 4942
42 × 3177
54 × 2471
63 × 2118
126 × 1059
189 × 706
353 × 378
First multiples
133,434 · 266,868 (double) · 400,302 · 533,736 · 667,170 · 800,604 · 934,038 · 1,067,472 · 1,200,906 · 1,334,340

Sums & aliquot sequence

As consecutive integers: 44,477 + 44,478 + 44,479 33,357 + 33,358 + 33,359 + 33,360 19,059 + 19,060 + … + 19,065 14,822 + 14,823 + … + 14,830
Aliquot sequence: 133,434 206,406 240,846 246,018 251,358 251,370 569,430 1,085,850 2,009,190 2,812,938 2,832,342 2,832,354 4,540,446 5,842,914 8,727,582 8,727,594 8,727,606 — unresolved within range

Continued fraction of √n

√133,434 = [365; (3, 2, 42, 1, 1, 4, 1, 9, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 28, 2, 28, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred thirty-four
Ordinal
133434th
Binary
100000100100111010
Octal
404472
Hexadecimal
0x2093A
Base64
Agk6
One's complement
4,294,833,861 (32-bit)
Scientific notation
1.33434 × 10⁵
As a duration
133,434 s = 1 day, 13 hours, 3 minutes, 54 seconds
In other bases
ternary (3) 20210001000
quaternary (4) 200210322
quinary (5) 13232214
senary (6) 2505430
septenary (7) 1064010
nonary (9) 223030
undecimal (11) 91284
duodecimal (12) 65276
tridecimal (13) 48972
tetradecimal (14) 368b0
pentadecimal (15) 29809

As an angle

133,434° = 370 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυλδʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋮
Chinese
一十三萬三千四百三十四
Chinese (financial)
壹拾參萬參仟肆佰參拾肆
In other modern scripts
Eastern Arabic ١٣٣٤٣٤ Devanagari १३३४३४ Bengali ১৩৩৪৩৪ Tamil ௧௩௩௪௩௪ Thai ๑๓๓๔๓๔ Tibetan ༡༣༣༤༣༤ Khmer ១៣៣៤៣៤ Lao ໑໓໓໔໓໔ Burmese ၁၃၃၄၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133434, here are decompositions:

  • 17 + 133417 = 133434
  • 31 + 133403 = 133434
  • 43 + 133391 = 133434
  • 47 + 133387 = 133434
  • 83 + 133351 = 133434
  • 97 + 133337 = 133434
  • 107 + 133327 = 133434
  • 113 + 133321 = 133434

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤺
CJK Unified Ideograph-2093A
U+2093A
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 BA (4 bytes).

Hex color
#02093A
RGB(2, 9, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.58.

Address
0.2.9.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.58

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 133,434 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 133434 first appears in π at position 196,301 of the decimal expansion (the 196,301ordinal-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°.