number.wiki
Live analysis

501,701

501,701 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.).

501,701 (five hundred one 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, 0x7A7C5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
107,105
Square (n²)
251,703,893,401
Cube (n³)
126,280,095,023,175,101
Divisor count
2
σ(n) — sum of divisors
501,702
φ(n) — Euler's totient
501,700

Primality

501,701 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 501701
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 501,701)
1 × 501701
First multiples
501,701 · 1,003,402 (double) · 1,505,103 · 2,006,804 · 2,508,505 · 3,010,206 · 3,511,907 · 4,013,608 · 4,515,309 · 5,017,010

Sums & aliquot sequence

As a sum of two squares: 415² + 574²
As consecutive integers: 250,850 + 250,851

Continued fraction of √n

√501,701 = [708; (3, 4, 6, 1, 2, 8, 3, 2, 6, 1, 69, 1, 27, 1, 12, 3, 1, 1, 1, 6, 2, 1, 13, 14, …)]

Representations

In words
five hundred one thousand seven hundred one
Ordinal
501701st
Binary
1111010011111000101
Octal
1723705
Hexadecimal
0x7A7C5
Base64
B6fF
One's complement
4,294,465,594 (32-bit)
Scientific notation
5.01701 × 10⁵
As a duration
501,701 s = 5 days, 19 hours, 21 minutes, 41 seconds
In other bases
ternary (3) 221111012112
quaternary (4) 1322133011
quinary (5) 112023301
senary (6) 14430405
septenary (7) 4156454
nonary (9) 844175
undecimal (11) 312a32
duodecimal (12) 202405
tridecimal (13) 147485
tetradecimal (14) d0b9b
pentadecimal (15) 9d9bb

As an angle

501,701° = 1,393 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵φαψαʹ
Chinese
五十萬一千七百零一
Chinese (financial)
伍拾萬壹仟柒佰零壹
In other modern scripts
Eastern Arabic ٥٠١٧٠١ Devanagari ५०१७०१ Bengali ৫০১৭০১ Tamil ௫௦௧௭௦௧ Thai ๕๐๑๗๐๑ Tibetan ༥༠༡༧༠༡ Khmer ៥០១៧០១ Lao ໕໐໑໗໐໑ Burmese ၅၀၁၇၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 501703.

Hex color
#07A7C5
RGB(7, 167, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.167.197.

Address
0.7.167.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.167.197

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 501,701 and was likely granted around 1893.

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

Position in π

The digit sequence 501701 first appears in π at position 782,683 of the decimal expansion (the 782,683ordinal-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.