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112,742

112,742 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.).

112,742 (one hundred twelve thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 8,053. Written other ways, in hexadecimal, 0x1B866.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
112
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
247,211
Square (n²)
12,710,758,564
Cube (n³)
1,433,036,342,022,488
Divisor count
8
σ(n) — sum of divisors
193,296
φ(n) — Euler's totient
48,312
Sum of prime factors
8,062

Primality

Prime factorization: 2 × 7 × 8053

Nearest primes: 112,741 (−1) · 112,757 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 8053 · 16106 · 56371 (half) · 112742
Aliquot sum (sum of proper divisors): 80,554
Factor pairs (a × b = 112,742)
1 × 112742
2 × 56371
7 × 16106
14 × 8053
First multiples
112,742 · 225,484 (double) · 338,226 · 450,968 · 563,710 · 676,452 · 789,194 · 901,936 · 1,014,678 · 1,127,420

Sums & aliquot sequence

As consecutive integers: 28,184 + 28,185 + 28,186 + 28,187 16,103 + 16,104 + … + 16,109 4,013 + 4,014 + … + 4,040
Aliquot sequence: 112,742 80,554 40,280 56,920 71,240 102,640 136,184 128,416 124,466 62,236 46,684 42,524 31,900 46,220 50,884 38,170 36,998 — unresolved within range

Continued fraction of √n

√112,742 = [335; (1, 3, 2, 1, 3, 5, 3, 1, 1, 2, 1, 1, 19, 5, 1, 8, 4, 6, 10, 1, 5, 1, 1, 1, …)]

Representations

In words
one hundred twelve thousand seven hundred forty-two
Ordinal
112742nd
Binary
11011100001100110
Octal
334146
Hexadecimal
0x1B866
Base64
Abhm
One's complement
4,294,854,553 (32-bit)
Scientific notation
1.12742 × 10⁵
As a duration
112,742 s = 1 day, 7 hours, 19 minutes, 2 seconds
In other bases
ternary (3) 12201122122
quaternary (4) 123201212
quinary (5) 12101432
senary (6) 2225542
septenary (7) 646460
nonary (9) 181578
undecimal (11) 77783
duodecimal (12) 552b2
tridecimal (13) 3c416
tetradecimal (14) 2d130
pentadecimal (15) 23612

As an angle

112,742° = 313 × 360° + 62°
62° ≈ 1.082 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριβψμβʹ
Mayan (base 20)
𝋮·𝋡·𝋱·𝋢
Chinese
一十一萬二千七百四十二
Chinese (financial)
壹拾壹萬貳仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١١٢٧٤٢ Devanagari ११२७४२ Bengali ১১২৭৪২ Tamil ௧௧௨௭௪௨ Thai ๑๑๒๗๔๒ Tibetan ༡༡༢༧༤༢ Khmer ១១២៧៤២ Lao ໑໑໒໗໔໒ Burmese ၁၁၂၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112742, here are decompositions:

  • 79 + 112663 = 112742
  • 139 + 112603 = 112742
  • 199 + 112543 = 112742
  • 241 + 112501 = 112742
  • 283 + 112459 = 112742
  • 313 + 112429 = 112742
  • 379 + 112363 = 112742
  • 439 + 112303 = 112742

Showing the first eight; more decompositions exist.

Hex color
#01B866
RGB(1, 184, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.102.

Address
0.1.184.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.102

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 112,742 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 112742 first appears in π at position 180,969 of the decimal expansion (the 180,969ordinal-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.