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135,242

135,242 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.).

135,242 (one hundred thirty-five thousand two hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 19 × 3,559. Written other ways, in hexadecimal, 0x2104A.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
240
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
242,531
Square (n²)
18,290,398,564
Cube (n³)
2,473,630,082,592,488
Divisor count
8
σ(n) — sum of divisors
213,600
φ(n) — Euler's totient
64,044
Sum of prime factors
3,580

Primality

Prime factorization: 2 × 19 × 3559

Nearest primes: 135,241 (−1) · 135,257 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 38 · 3559 · 7118 · 67621 (half) · 135242
Aliquot sum (sum of proper divisors): 78,358
Factor pairs (a × b = 135,242)
1 × 135242
2 × 67621
19 × 7118
38 × 3559
First multiples
135,242 · 270,484 (double) · 405,726 · 540,968 · 676,210 · 811,452 · 946,694 · 1,081,936 · 1,217,178 · 1,352,420

Sums & aliquot sequence

As consecutive integers: 33,809 + 33,810 + 33,811 + 33,812 7,109 + 7,110 + … + 7,127 1,742 + 1,743 + … + 1,817
Aliquot sequence: 135,242 78,358 61,322 30,664 26,846 14,818 8,222 4,114 3,068 2,812 2,508 4,212 7,646 3,826 1,916 1,444 1,223 — unresolved within range

Continued fraction of √n

√135,242 = [367; (1, 3, 23, 2, 9, 1, 6, 1, 2, 9, 1, 1, 2, 4, 5, 1, 4, 31, 1, 3, 2, 1, 1, 1, …)]

Representations

In words
one hundred thirty-five thousand two hundred forty-two
Ordinal
135242nd
Binary
100001000001001010
Octal
410112
Hexadecimal
0x2104A
Base64
AhBK
One's complement
4,294,832,053 (32-bit)
Scientific notation
1.35242 × 10⁵
As a duration
135,242 s = 1 day, 13 hours, 34 minutes, 2 seconds
In other bases
ternary (3) 20212111222
quaternary (4) 201001022
quinary (5) 13311432
senary (6) 2522042
septenary (7) 1102202
nonary (9) 225458
undecimal (11) 92678
duodecimal (12) 66322
tridecimal (13) 49733
tetradecimal (14) 37402
pentadecimal (15) 2a112

As an angle

135,242° = 375 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεσμβʹ
Mayan (base 20)
𝋰·𝋲·𝋢·𝋢
Chinese
一十三萬五千二百四十二
Chinese (financial)
壹拾參萬伍仟貳佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٥٢٤٢ Devanagari १३५२४२ Bengali ১৩৫২৪২ Tamil ௧௩௫௨௪௨ Thai ๑๓๕๒๔๒ Tibetan ༡༣༥༢༤༢ Khmer ១៣៥២៤២ Lao ໑໓໕໒໔໒ Burmese ၁၃၅၂၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135242, here are decompositions:

  • 31 + 135211 = 135242
  • 61 + 135181 = 135242
  • 193 + 135049 = 135242
  • 199 + 135043 = 135242
  • 223 + 135019 = 135242
  • 661 + 134581 = 135242
  • 739 + 134503 = 135242
  • 883 + 134359 = 135242

Showing the first eight; more decompositions exist.

Unicode codepoint
𡁊
CJK Unified Ideograph-2104A
U+2104A
Other letter (Lo)

UTF-8 encoding: F0 A1 81 8A (4 bytes).

Hex color
#02104A
RGB(2, 16, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.74.

Address
0.2.16.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.74

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 135,242 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 135242 first appears in π at position 637,547 of the decimal expansion (the 637,547ordinal-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.