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462,013

462,013 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.).

462,013 (four hundred sixty-two thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x70CBD.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
310,264
Square (n²)
213,456,012,169
Cube (n³)
98,619,452,550,236,197
Divisor count
2
σ(n) — sum of divisors
462,014
φ(n) — Euler's totient
462,012

Primality

462,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 462013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 462,013)
1 × 462013
First multiples
462,013 · 924,026 (double) · 1,386,039 · 1,848,052 · 2,310,065 · 2,772,078 · 3,234,091 · 3,696,104 · 4,158,117 · 4,620,130

Sums & aliquot sequence

As a sum of two squares: 283² + 618²
As consecutive integers: 231,006 + 231,007

Continued fraction of √n

√462,013 = [679; (1, 2, 1, 1, 18, 19, 1, 1, 1, 5, 3, 3, 6, 1, 13, 6, 1, 1, 2, 4, 2, 3, 1, 19, …)]

Representations

In words
four hundred sixty-two thousand thirteen
Ordinal
462013th
Binary
1110000110010111101
Octal
1606275
Hexadecimal
0x70CBD
Base64
Bwy9
One's complement
4,294,505,282 (32-bit)
Scientific notation
4.62013 × 10⁵
As a duration
462,013 s = 5 days, 8 hours, 20 minutes, 13 seconds
In other bases
ternary (3) 212110202121
quaternary (4) 1300302331
quinary (5) 104241023
senary (6) 13522541
septenary (7) 3632656
nonary (9) 773677
undecimal (11) 296132
duodecimal (12) 1a3451
tridecimal (13) 1323a6
tetradecimal (14) c052d
pentadecimal (15) 91d5d

As an angle

462,013° = 1,283 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵υξβιγʹ
Chinese
四十六萬二千零一十三
Chinese (financial)
肆拾陸萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٤٦٢٠١٣ Devanagari ४६२०१३ Bengali ৪৬২০১৩ Tamil ௪௬௨௦௧௩ Thai ๔๖๒๐๑๓ Tibetan ༤༦༢༠༡༣ Khmer ៤៦២០១៣ Lao ໔໖໒໐໑໓ Burmese ၄၆၂၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#070CBD
RGB(7, 12, 189)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.12.189.

Address
0.7.12.189
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.12.189

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 462,013 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 462013 first appears in π at position 809,838 of the decimal expansion (the 809,838ordinal-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.