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468,001

468,001 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.).

468,001 (four hundred sixty-eight thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x72421.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
100,864
Square (n²)
219,024,936,001
Cube (n³)
102,503,889,073,404,001
Divisor count
2
σ(n) — sum of divisors
468,002
φ(n) — Euler's totient
468,000

Primality

468,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 468001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 468,001)
1 × 468001
First multiples
468,001 · 936,002 (double) · 1,404,003 · 1,872,004 · 2,340,005 · 2,808,006 · 3,276,007 · 3,744,008 · 4,212,009 · 4,680,010

Sums & aliquot sequence

As a sum of two squares: 105² + 676²
As consecutive integers: 234,000 + 234,001

Continued fraction of √n

√468,001 = [684; (9, 2, 3, 2, 1, 3, 1, 2, 4, 1, 1, 5, 30, 4, 2, 4, 1, 3, 1, 14, 4, 8, 1, 1, …)]

Representations

In words
four hundred sixty-eight thousand one
Ordinal
468001st
Binary
1110010010000100001
Octal
1622041
Hexadecimal
0x72421
Base64
ByQh
One's complement
4,294,499,294 (32-bit)
Scientific notation
4.68001 × 10⁵
As a duration
468,001 s = 5 days, 10 hours, 1 second
In other bases
ternary (3) 212202222101
quaternary (4) 1302100201
quinary (5) 104434001
senary (6) 14010401
septenary (7) 3656302
nonary (9) 782871
undecimal (11) 29a686
duodecimal (12) 1a6a01
tridecimal (13) 135031
tetradecimal (14) c27a9
pentadecimal (15) 93a01

As an angle

468,001° = 1,300 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 · 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵υξηαʹ
Chinese
四十六萬八千零一
Chinese (financial)
肆拾陸萬捌仟零壹
In other modern scripts
Eastern Arabic ٤٦٨٠٠١ Devanagari ४६८००१ Bengali ৪৬৮০০১ Tamil ௪௬௮௦௦௧ Thai ๔๖๘๐๐๑ Tibetan ༤༦༨༠༠༡ Khmer ៤៦៨០០១ Lao ໔໖໘໐໐໑ Burmese ၄၆၈၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#072421
RGB(7, 36, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.36.33.

Address
0.7.36.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.36.33

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 468,001 and was likely granted around 1891.

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

Position in π

The digit sequence 468001 first appears in π at position 597,278 of the decimal expansion (the 597,278ordinal-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.