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508,961

508,961 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.).

508,961 (five hundred eight thousand nine hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7C421.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
169,805
Square (n²)
259,041,299,521
Cube (n³)
131,841,918,845,507,681
Divisor count
2
σ(n) — sum of divisors
508,962
φ(n) — Euler's totient
508,960

Primality

508,961 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 508961
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 508,961)
1 × 508961
First multiples
508,961 · 1,017,922 (double) · 1,526,883 · 2,035,844 · 2,544,805 · 3,053,766 · 3,562,727 · 4,071,688 · 4,580,649 · 5,089,610

Sums & aliquot sequence

As a sum of two squares: 344² + 625²
As consecutive integers: 254,480 + 254,481

Continued fraction of √n

√508,961 = [713; (2, 2, 2, 3, 1, 4, 2, 8, 2, 6, 1, 1, 1, 23, 1, 1, 7, 4, 1, 17, 33, 7, 1, 15, …)]

Representations

In words
five hundred eight thousand nine hundred sixty-one
Ordinal
508961st
Binary
1111100010000100001
Octal
1742041
Hexadecimal
0x7C421
Base64
B8Qh
One's complement
4,294,458,334 (32-bit)
Scientific notation
5.08961 × 10⁵
As a duration
508,961 s = 5 days, 21 hours, 22 minutes, 41 seconds
In other bases
ternary (3) 221212011102
quaternary (4) 1330100201
quinary (5) 112241321
senary (6) 14524145
septenary (7) 4216565
nonary (9) 855142
undecimal (11) 318432
duodecimal (12) 206655
tridecimal (13) 14a87b
tetradecimal (14) d36a5
pentadecimal (15) a0c0b

As an angle

508,961° = 1,413 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵φηϡξαʹ
Chinese
五十萬八千九百六十一
Chinese (financial)
伍拾萬捌仟玖佰陸拾壹
In other modern scripts
Eastern Arabic ٥٠٨٩٦١ Devanagari ५०८९६१ Bengali ৫০৮৯৬১ Tamil ௫௦௮௯௬௧ Thai ๕๐๘๙๖๑ Tibetan ༥༠༨༩༦༡ Khmer ៥០៨៩៦១ Lao ໕໐໘໙໖໑ Burmese ၅၀၈၉၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 508957.

Hex color
#07C421
RGB(7, 196, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.196.33.

Address
0.7.196.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.196.33

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 508,961 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 508961 first appears in π at position 435,437 of the decimal expansion (the 435,437ordinal-suffix:th 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.