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462,421

462,421 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.).

462,421 (four hundred sixty-two thousand four hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x70E55.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
384
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
124,264
Square (n²)
213,833,181,241
Cube (n³)
98,880,953,502,644,461
Divisor count
2
σ(n) — sum of divisors
462,422
φ(n) — Euler's totient
462,420

Primality

462,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 462421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 462,421)
1 × 462421
First multiples
462,421 · 924,842 (double) · 1,387,263 · 1,849,684 · 2,312,105 · 2,774,526 · 3,236,947 · 3,699,368 · 4,161,789 · 4,624,210

Sums & aliquot sequence

As a sum of two squares: 345² + 586²
As consecutive integers: 231,210 + 231,211

Continued fraction of √n

√462,421 = [680; (64, 1, 3, 4, 1, 2, 3, 1, 1, 1, 4, 3, 1, 2, 3, 1, 21, 1, 1, 9, 1, 1, 3, 2, …)]

Representations

In words
four hundred sixty-two thousand four hundred twenty-one
Ordinal
462421st
Binary
1110000111001010101
Octal
1607125
Hexadecimal
0x70E55
Base64
Bw5V
One's complement
4,294,504,874 (32-bit)
Scientific notation
4.62421 × 10⁵
As a duration
462,421 s = 5 days, 8 hours, 27 minutes, 1 second
In other bases
ternary (3) 212111022201
quaternary (4) 1300321111
quinary (5) 104244141
senary (6) 13524501
septenary (7) 3634111
nonary (9) 774281
undecimal (11) 296473
duodecimal (12) 1a3731
tridecimal (13) 13262b
tetradecimal (14) c0741
pentadecimal (15) 92031

As an angle

462,421° = 1,284 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υξβυκαʹ
Chinese
四十六萬二千四百二十一
Chinese (financial)
肆拾陸萬貳仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ٤٦٢٤٢١ Devanagari ४६२४२१ Bengali ৪৬২৪২১ Tamil ௪௬௨௪௨௧ Thai ๔๖๒๔๒๑ Tibetan ༤༦༢༤༢༡ Khmer ៤៦២៤២១ Lao ໔໖໒໔໒໑ Burmese ၄၆၂၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 462419.

Hex color
#070E55
RGB(7, 14, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.14.85.

Address
0.7.14.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.14.85

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 462,421 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 462421 first appears in π at position 162,305 of the decimal expansion (the 162,305ordinal-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.