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133,628

133,628 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.).

133,628 (one hundred thirty-three thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 3,037. Written other ways, in hexadecimal, 0x209FC.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
864
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
826,331
Square (n²)
17,856,442,384
Cube (n³)
2,386,120,682,889,152
Divisor count
12
σ(n) — sum of divisors
255,192
φ(n) — Euler's totient
60,720
Sum of prime factors
3,052

Primality

Prime factorization: 2 2 × 11 × 3037

Nearest primes: 133,597 (−31) · 133,631 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 3037 · 6074 · 12148 · 33407 · 66814 (half) · 133628
Aliquot sum (sum of proper divisors): 121,564
Factor pairs (a × b = 133,628)
1 × 133628
2 × 66814
4 × 33407
11 × 12148
22 × 6074
44 × 3037
First multiples
133,628 · 267,256 (double) · 400,884 · 534,512 · 668,140 · 801,768 · 935,396 · 1,069,024 · 1,202,652 · 1,336,280

Sums & aliquot sequence

As consecutive integers: 16,700 + 16,701 + … + 16,707 12,143 + 12,144 + … + 12,153 1,475 + 1,476 + … + 1,562
Aliquot sequence: 133,628 121,564 91,180 106,388 79,798 46,994 23,500 28,916 21,694 10,850 12,958 10,082 5,257 759 393 135 105 — unresolved within range

Continued fraction of √n

√133,628 = [365; (1, 1, 4, 2, 1, 13, 9, 1, 1, 4, 1, 5, 1, 1, 1, 6, 2, 1, 1, 1, 2, 3, 8, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred twenty-eight
Ordinal
133628th
Binary
100000100111111100
Octal
404774
Hexadecimal
0x209FC
Base64
Agn8
One's complement
4,294,833,667 (32-bit)
Scientific notation
1.33628 × 10⁵
As a duration
133,628 s = 1 day, 13 hours, 7 minutes, 8 seconds
In other bases
ternary (3) 20210022012
quaternary (4) 200213330
quinary (5) 13234003
senary (6) 2510352
septenary (7) 1064405
nonary (9) 223265
undecimal (11) 91440
duodecimal (12) 653b8
tridecimal (13) 48a91
tetradecimal (14) 369ac
pentadecimal (15) 298d8

As an angle

133,628° = 371 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχκηʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋨
Chinese
一十三萬三千六百二十八
Chinese (financial)
壹拾參萬參仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٦٢٨ Devanagari १३३६२८ Bengali ১৩৩৬২৮ Tamil ௧௩௩௬௨௮ Thai ๑๓๓๖๒๘ Tibetan ༡༣༣༦༢༨ Khmer ១៣៣៦២៨ Lao ໑໓໓໖໒໘ Burmese ၁၃၃၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133628, here are decompositions:

  • 31 + 133597 = 133628
  • 109 + 133519 = 133628
  • 181 + 133447 = 133628
  • 211 + 133417 = 133628
  • 241 + 133387 = 133628
  • 277 + 133351 = 133628
  • 307 + 133321 = 133628
  • 349 + 133279 = 133628

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧼
CJK Unified Ideograph-209Fc
U+209FC
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 BC (4 bytes).

Hex color
#0209FC
RGB(2, 9, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.252.

Address
0.2.9.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.252

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 133,628 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 133628 first appears in π at position 133,419 of the decimal expansion (the 133,419ordinal-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.