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463,476

463,476 is a composite number, even.

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.).

463,476 (four hundred sixty-three thousand four hundred seventy-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 2,971. Its proper divisors sum to 701,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71274.

Abundant Number Cube-Free Odious Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
12,096
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
674,364
Square (n²)
214,810,002,576
Cube (n³)
99,559,280,753,914,176
Divisor count
24
σ(n) — sum of divisors
1,165,024
φ(n) — Euler's totient
142,560
Sum of prime factors
2,991

Primality

Prime factorization: 2 2 × 3 × 13 × 2971

Nearest primes: 463,459 (−17) · 463,483 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 2971 · 5942 · 8913 · 11884 · 17826 · 35652 · 38623 · 77246 · 115869 · 154492 · 231738 (half) · 463476
Aliquot sum (sum of proper divisors): 701,548
Factor pairs (a × b = 463,476)
1 × 463476
2 × 231738
3 × 154492
4 × 115869
6 × 77246
12 × 38623
13 × 35652
26 × 17826
39 × 11884
52 × 8913
78 × 5942
156 × 2971
First multiples
463,476 · 926,952 (double) · 1,390,428 · 1,853,904 · 2,317,380 · 2,780,856 · 3,244,332 · 3,707,808 · 4,171,284 · 4,634,760

Sums & aliquot sequence

As consecutive integers: 154,491 + 154,492 + 154,493 57,931 + 57,932 + … + 57,938 35,646 + 35,647 + … + 35,658 19,300 + 19,301 + … + 19,323
Aliquot sequence: 463,476 → 701,548 → 536,724 → 901,440 → 2,209,044 → 2,945,420 → 3,604,564 → 2,703,430 → 2,162,762 → 1,746,298 → 987,110 → 789,706 → 414,458 → 263,782 → 131,894 → 94,234 → 71,654 — unresolved within range

Continued fraction of √n

√463,476 = [680; (1, 3, 1, 3, 1, 1, 27, 1, 4, 4, 1, 2, 2, 84, 1, 2, 13, 1, 452, 1, 13, 2, 1, 84, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-three thousand four hundred seventy-six
Ordinal
463476th
Binary
1110001001001110100
Octal
1611164
Hexadecimal
0x71274
Base64
BxJ0
One's complement
4,294,503,819 (32-bit)
Scientific notation
4.63476 × 10⁵
As a duration
463,476 s = 5 days, 8 hours, 44 minutes, 36 seconds
In other bases
ternary (3) 212112202210
quaternary (4) 1301021310
quinary (5) 104312401
senary (6) 13533420
septenary (7) 3640146
nonary (9) 775683
undecimal (11) 297242
duodecimal (12) 1a4270
tridecimal (13) 132c60
tetradecimal (14) c0c96
pentadecimal (15) 924d6

As an angle

463,476° = 1,287 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξγυοϛʹ
Chinese
四十六萬三千四百七十六
Chinese (financial)
肆拾陸萬參仟肆佰柒拾陸
In other modern scripts
Eastern Arabic ٤٦٣٤٧٦ Devanagari ४६३४७६ Bengali ৪৬৩৪৭৬ Tamil ௪௬௩௪௭௬ Thai ๔๖๓๔๗๖ Tibetan ༤༦༣༤༧༦ Khmer ៤៦៣៤៧៦ Lao ໔໖໓໔໗໖ Burmese ၄၆၃၄၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463476, here are decompositions:

  • 17 + 463459 = 463476
  • 19 + 463457 = 463476
  • 23 + 463453 = 463476
  • 29 + 463447 = 463476
  • 43 + 463433 = 463476
  • 89 + 463387 = 463476
  • 113 + 463363 = 463476
  • 137 + 463339 = 463476

Showing the first eight; more decompositions exist.

Hex color
#071274
RGB(7, 18, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.18.116.

Address
0.7.18.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.18.116

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 463,476 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 463476 first appears in π at position 149,049 of the decimal expansion (the 149,049ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.