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112,741

112,741 is a prime, odd.

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.).

112,741 (one hundred twelve thousand seven hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1B865.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
56
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
147,211
Square (n²)
12,710,533,081
Cube (n³)
1,432,998,210,085,021
Divisor count
2
σ(n) — sum of divisors
112,742
φ(n) — Euler's totient
112,740

Primality

112,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,741)
1 × 112741
First multiples
112,741 · 225,482 (double) · 338,223 · 450,964 · 563,705 · 676,446 · 789,187 · 901,928 · 1,014,669 · 1,127,410

Sums & aliquot sequence

As a sum of two squares: 129² + 310²
As consecutive integers: 56,370 + 56,371

Continued fraction of √n

√112,741 = [335; (1, 3, 2, 1, 167, 5, 5, 167, 1, 2, 3, 1, 670)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand seven hundred forty-one
Ordinal
112741st
Binary
11011100001100101
Octal
334145
Hexadecimal
0x1B865
Base64
Abhl
One's complement
4,294,854,554 (32-bit)
Scientific notation
1.12741 × 10⁵
As a duration
112,741 s = 1 day, 7 hours, 19 minutes, 1 second
In other bases
ternary (3) 12201122121
quaternary (4) 123201211
quinary (5) 12101431
senary (6) 2225541
septenary (7) 646456
nonary (9) 181577
undecimal (11) 77782
duodecimal (12) 552b1
tridecimal (13) 3c415
tetradecimal (14) 2d12d
pentadecimal (15) 23611

As an angle

112,741° = 313 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριβψμαʹ
Mayan (base 20)
𝋮·𝋡·𝋱·𝋡
Chinese
一十一萬二千七百四十一
Chinese (financial)
壹拾壹萬貳仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١١٢٧٤١ Devanagari ११२७४१ Bengali ১১২৭৪১ Tamil ௧௧௨௭௪௧ Thai ๑๑๒๗๔๑ Tibetan ༡༡༢༧༤༡ Khmer ១១២៧៤១ Lao ໑໑໒໗໔໑ Burmese ၁၁၂၇၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01B865
RGB(1, 184, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.101.

Address
0.1.184.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.184.101

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 112,741 and was likely granted around 1871.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.