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467,460

467,460 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.).

467,460 (four hundred sixty-seven thousand four hundred sixty) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2² × 3² × 5 × 7² × 53. Its proper divisors sum to 1,213,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72204.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
64,764
Square (n²)
218,518,851,600
Cube (n³)
102,148,822,368,936,000
Divisor count
108
σ(n) — sum of divisors
1,680,588
φ(n) — Euler's totient
104,832
Sum of prime factors
82

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 2 × 53

Nearest primes: 467,447 (−13) · 467,471 (+11)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 49 · 53 · 60 · 63 · 70 · 84 · 90 · 98 · 105 · 106 · 126 · 140 · 147 · 159 · 180 · 196 · 210 · 212 · 245 · 252 · 265 · 294 · 315 · 318 · 371 · 420 · 441 · 477 · 490 · 530 · 588 · 630 · 636 · 735 · 742 · 795 · 882 · 954 · 980 · 1060 · 1113 · 1260 · 1470 · 1484 · 1590 · 1764 · 1855 · 1908 · 2205 · 2226 · 2385 · 2597 · 2940 · 3180 · 3339 · 3710 · 4410 · 4452 · 4770 · 5194 · 5565 · 6678 · 7420 · 7791 · 8820 · 9540 · 10388 · 11130 · 12985 · 13356 · 15582 · 16695 · 22260 · 23373 · 25970 · 31164 · 33390 · 38955 · 46746 · 51940 · 66780 · 77910 · 93492 · 116865 · 155820 · 233730 (half) · 467460
Aliquot sum (sum of proper divisors): 1,213,128
Factor pairs (a × b = 467,460)
1 × 467460
2 × 233730
3 × 155820
4 × 116865
5 × 93492
6 × 77910
7 × 66780
9 × 51940
10 × 46746
12 × 38955
14 × 33390
15 × 31164
18 × 25970
20 × 23373
21 × 22260
28 × 16695
30 × 15582
35 × 13356
36 × 12985
42 × 11130
45 × 10388
49 × 9540
53 × 8820
60 × 7791
63 × 7420
70 × 6678
84 × 5565
90 × 5194
98 × 4770
105 × 4452
106 × 4410
126 × 3710
140 × 3339
147 × 3180
159 × 2940
180 × 2597
196 × 2385
210 × 2226
212 × 2205
245 × 1908
252 × 1855
265 × 1764
294 × 1590
315 × 1484
318 × 1470
371 × 1260
420 × 1113
441 × 1060
477 × 980
490 × 954
530 × 882
588 × 795
630 × 742
636 × 735
First multiples
467,460 · 934,920 (double) · 1,402,380 · 1,869,840 · 2,337,300 · 2,804,760 · 3,272,220 · 3,739,680 · 4,207,140 · 4,674,600

Sums & aliquot sequence

As a sum of two squares: 126² + 672² = 462² + 504²
As consecutive integers: 155,819 + 155,820 + 155,821 93,490 + 93,491 + 93,492 + 93,493 + 93,494 66,777 + 66,778 + … + 66,783 58,429 + 58,430 + … + 58,436
Aliquot sequence: 467,460 → 1,213,128 → 2,718,072 → 5,696,568 → 10,638,432 → 24,843,168 → 55,903,680 → 172,330,560 → 432,133,560 → 972,301,680 → 2,759,504,112 → 5,372,468,464 → 6,093,261,968 → 5,738,056,300 → 6,729,801,956 → 5,112,874,204 → 3,911,250,724 — unresolved within range

Continued fraction of √n

√467,460 = [683; (1, 2, 2, 4, 1, 10, 2, 16, 2, 2, 10, 27, 1, 4, 3, 1, 1, 1, 3, 2, 3, 1, 22, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand four hundred sixty
Ordinal
467460th
Binary
1110010001000000100
Octal
1621004
Hexadecimal
0x72204
Base64
ByIE
One's complement
4,294,499,835 (32-bit)
Scientific notation
4.6746 × 10⁵
As a duration
467,460 s = 5 days, 9 hours, 51 minutes
In other bases
ternary (3) 212202020100
quaternary (4) 1302020010
quinary (5) 104424320
senary (6) 14004100
septenary (7) 3654600
nonary (9) 782210
undecimal (11) 29a234
duodecimal (12) 1a6630
tridecimal (13) 134a06
tetradecimal (14) c2500
pentadecimal (15) 93790

As an angle

467,460° = 1,298 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζυξʹ
Chinese
四十六萬七千四百六十
Chinese (financial)
肆拾陸萬柒仟肆佰陸拾
In other modern scripts
Eastern Arabic ٤٦٧٤٦٠ Devanagari ४६७४६० Bengali ৪৬৭৪৬০ Tamil ௪௬௭௪௬௦ Thai ๔๖๗๔๖๐ Tibetan ༤༦༧༤༦༠ Khmer ៤៦៧៤៦០ Lao ໔໖໗໔໖໐ Burmese ၄၆၇၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467460, here are decompositions:

  • 13 + 467447 = 467460
  • 23 + 467437 = 467460
  • 29 + 467431 = 467460
  • 43 + 467417 = 467460
  • 61 + 467399 = 467460
  • 89 + 467371 = 467460
  • 107 + 467353 = 467460
  • 127 + 467333 = 467460

Showing the first eight; more decompositions exist.

Hex color
#072204
RGB(7, 34, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.34.4.

Address
0.7.34.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.34.4

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 467,460 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 467460 first appears in π at position 157,831 of the decimal expansion (the 157,831ordinal-suffix:st 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°.