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467,480

467,480 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.).

467,480 (four hundred sixty-seven thousand four hundred eighty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 13 × 29 × 31. Its proper divisors sum to 742,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72218.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
84,764
Square (n²)
218,537,550,400
Cube (n³)
102,161,934,060,992,000
Divisor count
64
σ(n) — sum of divisors
1,209,600
φ(n) — Euler's totient
161,280
Sum of prime factors
84

Primality

Prime factorization: 2 3 × 5 × 13 × 29 × 31

Nearest primes: 467,479 (−1) · 467,491 (+11)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 29 · 31 · 40 · 52 · 58 · 62 · 65 · 104 · 116 · 124 · 130 · 145 · 155 · 232 · 248 · 260 · 290 · 310 · 377 · 403 · 520 · 580 · 620 · 754 · 806 · 899 · 1160 · 1240 · 1508 · 1612 · 1798 · 1885 · 2015 · 3016 · 3224 · 3596 · 3770 · 4030 · 4495 · 7192 · 7540 · 8060 · 8990 · 11687 · 15080 · 16120 · 17980 · 23374 · 35960 · 46748 · 58435 · 93496 · 116870 · 233740 (half) · 467480
Aliquot sum (sum of proper divisors): 742,120
Factor pairs (a × b = 467,480)
1 × 467480
2 × 233740
4 × 116870
5 × 93496
8 × 58435
10 × 46748
13 × 35960
20 × 23374
26 × 17980
29 × 16120
31 × 15080
40 × 11687
52 × 8990
58 × 8060
62 × 7540
65 × 7192
104 × 4495
116 × 4030
124 × 3770
130 × 3596
145 × 3224
155 × 3016
232 × 2015
248 × 1885
260 × 1798
290 × 1612
310 × 1508
377 × 1240
403 × 1160
520 × 899
580 × 806
620 × 754
First multiples
467,480 · 934,960 (double) · 1,402,440 · 1,869,920 · 2,337,400 · 2,804,880 · 3,272,360 · 3,739,840 · 4,207,320 · 4,674,800

Sums & aliquot sequence

As consecutive integers: 93,494 + 93,495 + 93,496 + 93,497 + 93,498 35,954 + 35,955 + … + 35,966 29,210 + 29,211 + … + 29,225 16,106 + 16,107 + … + 16,134
Aliquot sequence: 467,480 → 742,120 → 927,740 → 1,198,132 → 1,059,984 → 2,088,252 → 3,677,508 → 6,422,652 → 10,795,164 → 14,552,676 → 23,509,404 → 38,503,092 → 51,511,308 → 72,827,172 → 128,000,364 → 186,904,212 → 303,709,548 — unresolved within range

Continued fraction of √n

√467,480 = [683; (1, 2, 1, 1, 1, 3, 6, 1, 1, 2, 11, 2, 1, 1, 6, 3, 1, 1, 1, 2, 1, 1366)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand four hundred eighty
Ordinal
467480th
Binary
1110010001000011000
Octal
1621030
Hexadecimal
0x72218
Base64
ByIY
One's complement
4,294,499,815 (32-bit)
Scientific notation
4.6748 × 10⁵
As a duration
467,480 s = 5 days, 9 hours, 51 minutes, 20 seconds
In other bases
ternary (3) 212202021002
quaternary (4) 1302020120
quinary (5) 104424410
senary (6) 14004132
septenary (7) 3654626
nonary (9) 782232
undecimal (11) 29a252
duodecimal (12) 1a6648
tridecimal (13) 134a20
tetradecimal (14) c2516
pentadecimal (15) 937a5

As an angle

467,480° = 1,298 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζυπʹ
Chinese
四十六萬七千四百八十
Chinese (financial)
肆拾陸萬柒仟肆佰捌拾
In other modern scripts
Eastern Arabic ٤٦٧٤٨٠ Devanagari ४६७४८० Bengali ৪৬৭৪৮০ Tamil ௪௬௭௪௮௦ Thai ๔๖๗๔๘๐ Tibetan ༤༦༧༤༨༠ Khmer ៤៦៧៤៨០ Lao ໔໖໗໔໘໐ Burmese ၄၆၇၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467480, here are decompositions:

  • 3 + 467477 = 467480
  • 7 + 467473 = 467480
  • 43 + 467437 = 467480
  • 109 + 467371 = 467480
  • 127 + 467353 = 467480
  • 151 + 467329 = 467480
  • 163 + 467317 = 467480
  • 241 + 467239 = 467480

Showing the first eight; more decompositions exist.

Hex color
#072218
RGB(7, 34, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.34.24.

Address
0.7.34.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.34.24

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 467,480 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 467480 first appears in π at position 365,667 of the decimal expansion (the 365,667ordinal-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°.