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107,741

107,741 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.).

107,741 (one hundred seven 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, 0x1A4DD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
147,701
Square (n²)
11,608,123,081
Cube (n³)
1,250,670,788,870,021
Divisor count
2
σ(n) — sum of divisors
107,742
φ(n) — Euler's totient
107,740

Primality

107,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,741)
1 × 107741
First multiples
107,741 · 215,482 (double) · 323,223 · 430,964 · 538,705 · 646,446 · 754,187 · 861,928 · 969,669 · 1,077,410

Sums & aliquot sequence

As a sum of two squares: 46² + 325²
As consecutive integers: 53,870 + 53,871

Continued fraction of √n

√107,741 = [328; (4, 5, 1, 1, 3, 1, 2, 4, 13, 5, 1, 17, 1, 11, 1, 2, 9, 1, 3, 8, 18, 1, 1, 1, …)]

Representations

In words
one hundred seven thousand seven hundred forty-one
Ordinal
107741st
Binary
11010010011011101
Octal
322335
Hexadecimal
0x1A4DD
Base64
AaTd
One's complement
4,294,859,554 (32-bit)
Scientific notation
1.07741 × 10⁵
As a duration
107,741 s = 1 day, 5 hours, 55 minutes, 41 seconds
In other bases
ternary (3) 12110210102
quaternary (4) 122103131
quinary (5) 11421431
senary (6) 2150445
septenary (7) 626054
nonary (9) 173712
undecimal (11) 73a47
duodecimal (12) 52425
tridecimal (13) 3a06a
tetradecimal (14) 2b39b
pentadecimal (15) 21dcb
Palindromic in base 12

As an angle

107,741° = 299 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρζψμαʹ
Mayan (base 20)
𝋭·𝋩·𝋧·𝋡
Chinese
十萬七千七百四十一
Chinese (financial)
壹拾萬柒仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١٠٧٧٤١ Devanagari १०७७४१ Bengali ১০৭৭৪১ Tamil ௧௦௭௭௪௧ Thai ๑๐๗๗๔๑ Tibetan ༡༠༧༧༤༡ Khmer ១០៧៧៤១ Lao ໑໐໗໗໔໑ Burmese ၁၀၇၇၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 107747.

Hex color
#01A4DD
RGB(1, 164, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.221.

Address
0.1.164.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.164.221

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 107,741 and was likely granted around 1870.

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

Position in π

The digit sequence 107741 first appears in π at position 632,323 of the decimal expansion (the 632,323ordinal-suffix:rd 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.