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467,104

467,104 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.).

467,104 (four hundred sixty-seven thousand one hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 1,327. Its proper divisors sum to 536,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x720A0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
19 bits
Reversed
401,764
Square (n²)
218,186,146,816
Cube (n³)
101,915,621,922,340,864
Divisor count
24
σ(n) — sum of divisors
1,003,968
φ(n) — Euler's totient
212,160
Sum of prime factors
1,348

Primality

Prime factorization: 2 5 × 11 × 1327

Nearest primes: 467,101 (−3) · 467,119 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 1327 · 2654 · 5308 · 10616 · 14597 · 21232 · 29194 · 42464 · 58388 · 116776 · 233552 (half) · 467104
Aliquot sum (sum of proper divisors): 536,864
Factor pairs (a × b = 467,104)
1 × 467104
2 × 233552
4 × 116776
8 × 58388
11 × 42464
16 × 29194
22 × 21232
32 × 14597
44 × 10616
88 × 5308
176 × 2654
352 × 1327
First multiples
467,104 · 934,208 (double) · 1,401,312 · 1,868,416 · 2,335,520 · 2,802,624 · 3,269,728 · 3,736,832 · 4,203,936 · 4,671,040

Sums & aliquot sequence

As consecutive integers: 42,459 + 42,460 + … + 42,469 7,267 + 7,268 + … + 7,330 312 + 313 + … + 1,015
Aliquot sequence: 467,104 → 536,864 → 576,976 → 540,946 → 386,414 → 288,010 → 238,166 → 119,086 → 75,818 → 39,094 → 24,914 → 12,460 → 17,780 → 25,228 → 29,204 → 30,646 → 26,954 — unresolved within range

Continued fraction of √n

√467,104 = [683; (2, 4, 1, 1, 34, 2, 194, 1, 3, 1, 1, 14, 1, 4, 14, 27, 1, 4, 1, 2, 1, 2, 1, 1, …)]

Representations

In words
four hundred sixty-seven thousand one hundred four
Ordinal
467104th
Binary
1110010000010100000
Octal
1620240
Hexadecimal
0x720A0
Base64
ByCg
One's complement
4,294,500,191 (32-bit)
Scientific notation
4.67104 × 10⁵
As a duration
467,104 s = 5 days, 9 hours, 45 minutes, 4 seconds
In other bases
ternary (3) 212201202011
quaternary (4) 1302002200
quinary (5) 104421404
senary (6) 14002304
septenary (7) 3653551
nonary (9) 781664
undecimal (11) 299a40
duodecimal (12) 1a6394
tridecimal (13) 1347c1
tetradecimal (14) c2328
pentadecimal (15) 93604

As an angle

467,104° = 1,297 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξζρδʹ
Chinese
四十六萬七千一百零四
Chinese (financial)
肆拾陸萬柒仟壹佰零肆
In other modern scripts
Eastern Arabic ٤٦٧١٠٤ Devanagari ४६७१०४ Bengali ৪৬৭১০৪ Tamil ௪௬௭௧௦௪ Thai ๔๖๗๑๐๔ Tibetan ༤༦༧༡༠༤ Khmer ៤៦៧១០៤ Lao ໔໖໗໑໐໔ Burmese ၄၆၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467104, here are decompositions:

  • 3 + 467101 = 467104
  • 23 + 467081 = 467104
  • 41 + 467063 = 467104
  • 83 + 467021 = 467104
  • 101 + 467003 = 467104
  • 107 + 466997 = 467104
  • 191 + 466913 = 467104
  • 251 + 466853 = 467104

Showing the first eight; more decompositions exist.

Hex color
#0720A0
RGB(7, 32, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.32.160.

Address
0.7.32.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.32.160

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 467,104 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 467104 first appears in π at position 179,630 of the decimal expansion (the 179,630ordinal-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°.