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133,452

133,452 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.).

133,452 (one hundred thirty-three thousand four hundred fifty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 337. Its proper divisors sum to 235,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2094C.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
254,331
Recamán's sequence
a(35,564) = 133,452
Square (n²)
17,809,436,304
Cube (n³)
2,376,704,893,641,408
Divisor count
36
σ(n) — sum of divisors
369,096
φ(n) — Euler's totient
40,320
Sum of prime factors
358

Primality

Prime factorization: 2 2 × 3 2 × 11 × 337

Nearest primes: 133,451 (−1) · 133,481 (+29)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 337 · 396 · 674 · 1011 · 1348 · 2022 · 3033 · 3707 · 4044 · 6066 · 7414 · 11121 · 12132 · 14828 · 22242 · 33363 · 44484 · 66726 (half) · 133452
Aliquot sum (sum of proper divisors): 235,644
Factor pairs (a × b = 133,452)
1 × 133452
2 × 66726
3 × 44484
4 × 33363
6 × 22242
9 × 14828
11 × 12132
12 × 11121
18 × 7414
22 × 6066
33 × 4044
36 × 3707
44 × 3033
66 × 2022
99 × 1348
132 × 1011
198 × 674
337 × 396
First multiples
133,452 · 266,904 (double) · 400,356 · 533,808 · 667,260 · 800,712 · 934,164 · 1,067,616 · 1,201,068 · 1,334,520

Sums & aliquot sequence

As consecutive integers: 44,483 + 44,484 + 44,485 16,678 + 16,679 + … + 16,685 14,824 + 14,825 + … + 14,832 12,127 + 12,128 + … + 12,137
Aliquot sequence: 133,452 235,644 323,796 510,380 657,892 543,644 407,740 549,860 666,460 764,900 895,150 769,922 384,964 294,120 735,480 1,747,440 4,278,960 — unresolved within range

Continued fraction of √n

√133,452 = [365; (3, 4, 1, 1, 1, 1, 10, 1, 90, 2, 2, 2, 2, 19, 3, 182, 3, 19, 2, 2, 2, 2, 90, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred fifty-two
Ordinal
133452nd
Binary
100000100101001100
Octal
404514
Hexadecimal
0x2094C
Base64
AglM
One's complement
4,294,833,843 (32-bit)
Scientific notation
1.33452 × 10⁵
As a duration
133,452 s = 1 day, 13 hours, 4 minutes, 12 seconds
In other bases
ternary (3) 20210001200
quaternary (4) 200211030
quinary (5) 13232302
senary (6) 2505500
septenary (7) 1064034
nonary (9) 223050
undecimal (11) 912a0
duodecimal (12) 65290
tridecimal (13) 48987
tetradecimal (14) 368c4
pentadecimal (15) 2981c

As an angle

133,452° = 370 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγυνβʹ
Mayan (base 20)
𝋰·𝋭·𝋬·𝋬
Chinese
一十三萬三千四百五十二
Chinese (financial)
壹拾參萬參仟肆佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٤٥٢ Devanagari १३३४५२ Bengali ১৩৩৪৫২ Tamil ௧௩௩௪௫௨ Thai ๑๓๓๔๕๒ Tibetan ༡༣༣༤༥༢ Khmer ១៣៣៤៥២ Lao ໑໓໓໔໕໒ Burmese ၁၃၃၄၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133452, here are decompositions:

  • 5 + 133447 = 133452
  • 13 + 133439 = 133452
  • 61 + 133391 = 133452
  • 73 + 133379 = 133452
  • 101 + 133351 = 133452
  • 103 + 133349 = 133452
  • 131 + 133321 = 133452
  • 149 + 133303 = 133452

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥌
CJK Unified Ideograph-2094C
U+2094C
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 8C (4 bytes).

Hex color
#02094C
RGB(2, 9, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.76.

Address
0.2.9.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.76

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 133,452 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 133452 first appears in π at position 160,669 of the decimal expansion (the 160,669ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.