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101,741

101,741 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.).

101,741 (one hundred one 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, 0x18D6D.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
147,101
Square (n²)
10,351,231,081
Cube (n³)
1,053,144,601,412,021
Divisor count
2
σ(n) — sum of divisors
101,742
φ(n) — Euler's totient
101,740

Primality

101,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,741)
1 × 101741
First multiples
101,741 · 203,482 (double) · 305,223 · 406,964 · 508,705 · 610,446 · 712,187 · 813,928 · 915,669 · 1,017,410

Sums & aliquot sequence

As a sum of two squares: 221² + 230²
As consecutive integers: 50,870 + 50,871

Continued fraction of √n

√101,741 = [318; (1, 30, 1, 8, 1, 5, 2, 11, 1, 4, 5, 2, 3, 1, 4, 1, 2, 1, 1, 1, 1, 1, 3, 1, …)]

Representations

In words
one hundred one thousand seven hundred forty-one
Ordinal
101741st
Binary
11000110101101101
Octal
306555
Hexadecimal
0x18D6D
Base64
AY1t
One's complement
4,294,865,554 (32-bit)
Scientific notation
1.01741 × 10⁵
As a duration
101,741 s = 1 day, 4 hours, 15 minutes, 41 seconds
In other bases
ternary (3) 12011120012
quaternary (4) 120311231
quinary (5) 11223431
senary (6) 2103005
septenary (7) 602423
nonary (9) 164505
undecimal (11) 6a492
duodecimal (12) 4aa65
tridecimal (13) 37403
tetradecimal (14) 29113
pentadecimal (15) 2022b

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ραψμαʹ
Mayan (base 20)
𝋬·𝋮·𝋧·𝋡
Chinese
一十萬一千七百四十一
Chinese (financial)
壹拾萬壹仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١٠١٧٤١ Devanagari १०१७४१ Bengali ১০১৭৪১ Tamil ௧௦௧௭௪௧ Thai ๑๐๑๗๔๑ Tibetan ༡༠༡༧༤༡ Khmer ១០១៧៤១ Lao ໑໐໑໗໔໑ Burmese ၁၀၁၇၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 101737, sexy with 101747.

Hex color
#018D6D
RGB(1, 141, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.109.

Address
0.1.141.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.109

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 101,741 and was likely granted around 1870.

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

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.