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462,401

462,401 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.).

462,401 (four hundred sixty-two thousand four hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x70E41.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Self Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
104,264
Square (n²)
213,814,684,801
Cube (n³)
98,868,124,066,667,201
Divisor count
2
σ(n) — sum of divisors
462,402
φ(n) — Euler's totient
462,400

Primality

462,401 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 462401
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 462,401)
1 × 462401
First multiples
462,401 · 924,802 (double) · 1,387,203 · 1,849,604 · 2,312,005 · 2,774,406 · 3,236,807 · 3,699,208 · 4,161,609 · 4,624,010

Sums & aliquot sequence

As a sum of two squares: 1² + 680²
As consecutive integers: 231,200 + 231,201

Continued fraction of √n

√462,401 = [680; (1360)]

Period length 1 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-two thousand four hundred one
Ordinal
462401st
Binary
1110000111001000001
Octal
1607101
Hexadecimal
0x70E41
Base64
Bw5B
One's complement
4,294,504,894 (32-bit)
Scientific notation
4.62401 × 10⁵
As a duration
462,401 s = 5 days, 8 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 212111021222
quaternary (4) 1300321001
quinary (5) 104244101
senary (6) 13524425
septenary (7) 3634052
nonary (9) 774258
undecimal (11) 296455
duodecimal (12) 1a3715
tridecimal (13) 132614
tetradecimal (14) c0729
pentadecimal (15) 9201b

As an angle

462,401° = 1,284 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵υξβυαʹ
Chinese
四十六萬二千四百零一
Chinese (financial)
肆拾陸萬貳仟肆佰零壹
In other modern scripts
Eastern Arabic ٤٦٢٤٠١ Devanagari ४६२४०१ Bengali ৪৬২৪০১ Tamil ௪௬௨௪௦௧ Thai ๔๖๒๔๐๑ Tibetan ༤༦༢༤༠༡ Khmer ៤៦២៤០១ Lao ໔໖໒໔໐໑ Burmese ၄၆၂၄၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#070E41
RGB(7, 14, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.14.65.

Address
0.7.14.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.14.65

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 462,401 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 462401 first appears in π at position 44,300 of the decimal expansion (the 44,300ordinal-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.