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104,701

104,701 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.).

104,701 (one hundred four thousand seven hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x198FD.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
107,401
Recamán's sequence
a(91,789) = 104,701
Square (n²)
10,962,299,401
Cube (n³)
1,147,763,709,584,101
Divisor count
2
σ(n) — sum of divisors
104,702
φ(n) — Euler's totient
104,700

Primality

104,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,701)
1 × 104701
First multiples
104,701 · 209,402 (double) · 314,103 · 418,804 · 523,505 · 628,206 · 732,907 · 837,608 · 942,309 · 1,047,010

Sums & aliquot sequence

As a sum of two squares: 74² + 315²
As consecutive integers: 52,350 + 52,351

Continued fraction of √n

√104,701 = [323; (1, 1, 2, 1, 4, 1, 1, 53, 2, 1, 1, 1, 1, 1, 6, 2, 1, 17, 3, 2, 2, 9, 4, 23, …)]

Representations

In words
one hundred four thousand seven hundred one
Ordinal
104701st
Binary
11001100011111101
Octal
314375
Hexadecimal
0x198FD
Base64
AZj9
One's complement
4,294,862,594 (32-bit)
Scientific notation
1.04701 × 10⁵
As a duration
104,701 s = 1 day, 5 hours, 5 minutes, 1 second
In other bases
ternary (3) 12022121211
quaternary (4) 121203331
quinary (5) 11322301
senary (6) 2124421
septenary (7) 614152
nonary (9) 168554
undecimal (11) 71733
duodecimal (12) 50711
tridecimal (13) 3886c
tetradecimal (14) 2a229
pentadecimal (15) 21051

As an angle

104,701° = 290 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρδψαʹ
Mayan (base 20)
𝋭·𝋡·𝋯·𝋡
Chinese
一十萬四千七百零一
Chinese (financial)
壹拾萬肆仟柒佰零壹
In other modern scripts
Eastern Arabic ١٠٤٧٠١ Devanagari १०४७०१ Bengali ১০৪৭০১ Tamil ௧௦௪௭௦௧ Thai ๑๐๔๗๐๑ Tibetan ༡༠༤༧༠༡ Khmer ១០៤៧០១ Lao ໑໐໔໗໐໑ Burmese ၁၀၄၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 104707.

Hex color
#0198FD
RGB(1, 152, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.152.253.

Address
0.1.152.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.152.253

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 104,701 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 104701 first appears in π at position 61,573 of the decimal expansion (the 61,573ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.