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133,552

133,552 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.).

133,552 (one hundred thirty-three thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 17 × 491. Its proper divisors sum to 140,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209B0.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
450
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
255,331
Square (n²)
17,836,136,704
Cube (n³)
2,382,051,729,092,608
Divisor count
20
σ(n) — sum of divisors
274,536
φ(n) — Euler's totient
62,720
Sum of prime factors
516

Primality

Prime factorization: 2 4 × 17 × 491

Nearest primes: 133,543 (−9) · 133,559 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 68 · 136 · 272 · 491 · 982 · 1964 · 3928 · 7856 · 8347 · 16694 · 33388 · 66776 (half) · 133552
Aliquot sum (sum of proper divisors): 140,984
Factor pairs (a × b = 133,552)
1 × 133552
2 × 66776
4 × 33388
8 × 16694
16 × 8347
17 × 7856
34 × 3928
68 × 1964
136 × 982
272 × 491
First multiples
133,552 · 267,104 (double) · 400,656 · 534,208 · 667,760 · 801,312 · 934,864 · 1,068,416 · 1,201,968 · 1,335,520

Sums & aliquot sequence

As consecutive integers: 7,848 + 7,849 + … + 7,864 4,158 + 4,159 + … + 4,189 27 + 28 + … + 517
Aliquot sequence: 133,552 140,984 123,376 137,768 136,012 108,708 144,972 221,576 193,894 107,066 69,190 78,554 61,222 43,754 22,774 12,146 6,076 — unresolved within range

Continued fraction of √n

√133,552 = [365; (2, 4, 3, 1, 1, 1, 1, 8, 2, 2, 2, 1, 2, 3, 1, 21, 2, 1, 1, 1, 6, 2, 7, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred fifty-two
Ordinal
133552nd
Binary
100000100110110000
Octal
404660
Hexadecimal
0x209B0
Base64
Agmw
One's complement
4,294,833,743 (32-bit)
Scientific notation
1.33552 × 10⁵
As a duration
133,552 s = 1 day, 13 hours, 5 minutes, 52 seconds
In other bases
ternary (3) 20210012101
quaternary (4) 200212300
quinary (5) 13233202
senary (6) 2510144
septenary (7) 1064236
nonary (9) 223171
undecimal (11) 91381
duodecimal (12) 65354
tridecimal (13) 48a33
tetradecimal (14) 36956
pentadecimal (15) 29887

As an angle

133,552° = 370 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγφνβʹ
Mayan (base 20)
𝋰·𝋭·𝋱·𝋬
Chinese
一十三萬三千五百五十二
Chinese (financial)
壹拾參萬參仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٥٥٢ Devanagari १३३५५२ Bengali ১৩৩৫৫২ Tamil ௧௩௩௫௫௨ Thai ๑๓๓๕๕๒ Tibetan ༡༣༣༥༥༢ Khmer ១៣៣៥៥២ Lao ໑໓໓໕໕໒ Burmese ၁၃၃၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133552, here are decompositions:

  • 11 + 133541 = 133552
  • 53 + 133499 = 133552
  • 59 + 133493 = 133552
  • 71 + 133481 = 133552
  • 101 + 133451 = 133552
  • 113 + 133439 = 133552
  • 149 + 133403 = 133552
  • 173 + 133379 = 133552

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦰
CJK Unified Ideograph-209B0
U+209B0
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 B0 (4 bytes).

Hex color
#0209B0
RGB(2, 9, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.176.

Address
0.2.9.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.176

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 133,552 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 133552 first appears in π at position 194,910 of the decimal expansion (the 194,910ordinal-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