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133,242

133,242 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.).

133,242 (one hundred thirty-three thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 53 × 419. Its proper divisors sum to 138,918, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2087A.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
144
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
242,331
Square (n²)
17,753,430,564
Cube (n³)
2,365,502,595,208,488
Divisor count
16
σ(n) — sum of divisors
272,160
φ(n) — Euler's totient
43,472
Sum of prime factors
477

Primality

Prime factorization: 2 × 3 × 53 × 419

Nearest primes: 133,241 (−1) · 133,253 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 53 · 106 · 159 · 318 · 419 · 838 · 1257 · 2514 · 22207 · 44414 · 66621 (half) · 133242
Aliquot sum (sum of proper divisors): 138,918
Factor pairs (a × b = 133,242)
1 × 133242
2 × 66621
3 × 44414
6 × 22207
53 × 2514
106 × 1257
159 × 838
318 × 419
First multiples
133,242 · 266,484 (double) · 399,726 · 532,968 · 666,210 · 799,452 · 932,694 · 1,065,936 · 1,199,178 · 1,332,420

Sums & aliquot sequence

As consecutive integers: 44,413 + 44,414 + 44,415 33,309 + 33,310 + 33,311 + 33,312 11,098 + 11,099 + … + 11,109 2,488 + 2,489 + … + 2,540
Aliquot sequence: 133,242 138,918 164,130 229,854 246,066 246,078 416,034 517,626 617,274 1,041,606 1,273,194 1,698,138 2,535,462 3,445,434 4,019,712 6,693,144 10,039,776 — unresolved within range

Continued fraction of √n

√133,242 = [365; (42, 1, 16, 2, 2, 7, 8, 14, 1, 3, 2, 6, 2, 3, 1, 14, 8, 7, 2, 2, 16, 1, 42, 730)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred forty-two
Ordinal
133242nd
Binary
100000100001111010
Octal
404172
Hexadecimal
0x2087A
Base64
Agh6
One's complement
4,294,834,053 (32-bit)
Scientific notation
1.33242 × 10⁵
As a duration
133,242 s = 1 day, 13 hours, 42 seconds
In other bases
ternary (3) 20202202220
quaternary (4) 200201322
quinary (5) 13230432
senary (6) 2504510
septenary (7) 1063314
nonary (9) 222686
undecimal (11) 9111a
duodecimal (12) 65136
tridecimal (13) 48855
tetradecimal (14) 367b4
pentadecimal (15) 2972c

As an angle

133,242° = 370 × 360° + 42°
42° ≈ 0.733 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγσμβʹ
Mayan (base 20)
𝋰·𝋭·𝋢·𝋢
Chinese
一十三萬三千二百四十二
Chinese (financial)
壹拾參萬參仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٣٢٤٢ Devanagari १३३२४२ Bengali ১৩৩২৪২ Tamil ௧௩௩௨௪௨ Thai ๑๓๓๒๔๒ Tibetan ༡༣༣༢༤༢ Khmer ១៣៣២៤២ Lao ໑໓໓໒໔໒ Burmese ၁၃၃၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133242, here are decompositions:

  • 29 + 133213 = 133242
  • 41 + 133201 = 133242
  • 59 + 133183 = 133242
  • 73 + 133169 = 133242
  • 89 + 133153 = 133242
  • 139 + 133103 = 133242
  • 173 + 133069 = 133242
  • 191 + 133051 = 133242

Showing the first eight; more decompositions exist.

Unicode codepoint
𠡺
CJK Unified Ideograph-2087A
U+2087A
Other letter (Lo)

UTF-8 encoding: F0 A0 A1 BA (4 bytes).

Hex color
#02087A
RGB(2, 8, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.122.

Address
0.2.8.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.122

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 133,242 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 133242 first appears in π at position 419,097 of the decimal expansion (the 419,097ordinal-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°.