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460,721

460,721 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.).

460,721 (four hundred sixty thousand seven 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, 0x707B1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
127,064
Square (n²)
212,263,839,841
Cube (n³)
97,794,408,555,385,361
Divisor count
2
σ(n) — sum of divisors
460,722
φ(n) — Euler's totient
460,720

Primality

460,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 460721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 460,721)
1 × 460721
First multiples
460,721 · 921,442 (double) · 1,382,163 · 1,842,884 · 2,303,605 · 2,764,326 · 3,225,047 · 3,685,768 · 4,146,489 · 4,607,210

Sums & aliquot sequence

As a sum of two squares: 136² + 665²
As consecutive integers: 230,360 + 230,361

Continued fraction of √n

√460,721 = [678; (1, 3, 4, 8, 1, 2, 3, 2, 10, 1, 35, 1, 3, 2, 33, 2, 41, 1, 13, 3, 5, 4, 1, 1, …)]

Representations

In words
four hundred sixty thousand seven hundred twenty-one
Ordinal
460721st
Binary
1110000011110110001
Octal
1603661
Hexadecimal
0x707B1
Base64
Bwex
One's complement
4,294,506,574 (32-bit)
Scientific notation
4.60721 × 10⁵
As a duration
460,721 s = 5 days, 7 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 212101222202
quaternary (4) 1300132301
quinary (5) 104220341
senary (6) 13512545
septenary (7) 3626132
nonary (9) 771882
undecimal (11) 295168
duodecimal (12) 1a2755
tridecimal (13) 131921
tetradecimal (14) bdc89
pentadecimal (15) 9179b

As an angle

460,721° = 1,279 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵υξψκαʹ
Chinese
四十六萬零七百二十一
Chinese (financial)
肆拾陸萬零柒佰貳拾壹
In other modern scripts
Eastern Arabic ٤٦٠٧٢١ Devanagari ४६०७२१ Bengali ৪৬০৭২১ Tamil ௪௬௦௭௨௧ Thai ๔๖๐๗๒๑ Tibetan ༤༦༠༧༢༡ Khmer ៤៦០៧២១ Lao ໔໖໐໗໒໑ Burmese ၄၆၀၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0707B1
RGB(7, 7, 177)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.7.177.

Address
0.7.7.177
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.7.177

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 460,721 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 460721 first appears in π at position 227,848 of the decimal expansion (the 227,848ordinal-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.