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463,420

463,420 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.).

463,420 (four hundred sixty-three thousand four hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 17 × 29 × 47. Its proper divisors sum to 625,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7123C.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
19 bits
Reversed
24,364
Square (n²)
214,758,096,400
Cube (n³)
99,523,197,033,688,000
Divisor count
48
σ(n) — sum of divisors
1,088,640
φ(n) — Euler's totient
164,864
Sum of prime factors
102

Primality

Prime factorization: 2 2 × 5 × 17 × 29 × 47

Nearest primes: 463,399 (−21) · 463,433 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 29 · 34 · 47 · 58 · 68 · 85 · 94 · 116 · 145 · 170 · 188 · 235 · 290 · 340 · 470 · 493 · 580 · 799 · 940 · 986 · 1363 · 1598 · 1972 · 2465 · 2726 · 3196 · 3995 · 4930 · 5452 · 6815 · 7990 · 9860 · 13630 · 15980 · 23171 · 27260 · 46342 · 92684 · 115855 · 231710 (half) · 463420
Aliquot sum (sum of proper divisors): 625,220
Factor pairs (a × b = 463,420)
1 × 463420
2 × 231710
4 × 115855
5 × 92684
10 × 46342
17 × 27260
20 × 23171
29 × 15980
34 × 13630
47 × 9860
58 × 7990
68 × 6815
85 × 5452
94 × 4930
116 × 3995
145 × 3196
170 × 2726
188 × 2465
235 × 1972
290 × 1598
340 × 1363
470 × 986
493 × 940
580 × 799
First multiples
463,420 · 926,840 (double) · 1,390,260 · 1,853,680 · 2,317,100 · 2,780,520 · 3,243,940 · 3,707,360 · 4,170,780 · 4,634,200

Sums & aliquot sequence

As consecutive integers: 92,682 + 92,683 + 92,684 + 92,685 + 92,686 57,924 + 57,925 + … + 57,931 27,252 + 27,253 + … + 27,268 15,966 + 15,967 + … + 15,994
Aliquot sequence: 463,420 → 625,220 → 720,124 → 571,124 → 442,924 → 332,200 → 515,960 → 645,040 → 993,248 → 962,272 → 932,264 → 815,746 → 472,334 → 236,170 → 256,310 → 237,466 → 128,474 — unresolved within range

Continued fraction of √n

√463,420 = [680; (1, 2, 1, 150, 1, 1, 8, 1, 1, 16, 3, 1, 1, 3, 1, 1, 1, 2, 1, 1, 7, 37, 1, 2, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-three thousand four hundred twenty
Ordinal
463420th
Binary
1110001001000111100
Octal
1611074
Hexadecimal
0x7123C
Base64
BxI8
One's complement
4,294,503,875 (32-bit)
Scientific notation
4.6342 × 10⁵
As a duration
463,420 s = 5 days, 8 hours, 43 minutes, 40 seconds
In other bases
ternary (3) 212112200201
quaternary (4) 1301020330
quinary (5) 104312140
senary (6) 13533244
septenary (7) 3640036
nonary (9) 775621
undecimal (11) 2971a1
duodecimal (12) 1a4224
tridecimal (13) 132c19
tetradecimal (14) c0c56
pentadecimal (15) 9249a

As an angle

463,420° = 1,287 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υξγυκʹ
Chinese
四十六萬三千四百二十
Chinese (financial)
肆拾陸萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ٤٦٣٤٢٠ Devanagari ४६३४२० Bengali ৪৬৩৪২০ Tamil ௪௬௩௪௨௦ Thai ๔๖๓๔๒๐ Tibetan ༤༦༣༤༢༠ Khmer ៤៦៣៤២០ Lao ໔໖໓໔໒໐ Burmese ၄၆၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463420, here are decompositions:

  • 101 + 463319 = 463420
  • 107 + 463313 = 463420
  • 137 + 463283 = 463420
  • 173 + 463247 = 463420
  • 239 + 463181 = 463420
  • 263 + 463157 = 463420
  • 317 + 463103 = 463420
  • 389 + 463031 = 463420

Showing the first eight; more decompositions exist.

Hex color
#07123C
RGB(7, 18, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.18.60.

Address
0.7.18.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.18.60

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 463,420 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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