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471,460

471,460 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.).

471,460 (four hundred seventy-one thousand four hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 2,143. Its proper divisors sum to 609,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x731A4.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number 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
64,174
Square (n²)
222,274,531,600
Cube (n³)
104,793,550,668,136,000
Divisor count
24
σ(n) — sum of divisors
1,080,576
φ(n) — Euler's totient
171,360
Sum of prime factors
2,163

Primality

Prime factorization: 2 2 × 5 × 11 × 2143

Nearest primes: 471,451 (−9) · 471,467 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 2143 · 4286 · 8572 · 10715 · 21430 · 23573 · 42860 · 47146 · 94292 · 117865 · 235730 (half) · 471460
Aliquot sum (sum of proper divisors): 609,116
Factor pairs (a × b = 471,460)
1 × 471460
2 × 235730
4 × 117865
5 × 94292
10 × 47146
11 × 42860
20 × 23573
22 × 21430
44 × 10715
55 × 8572
110 × 4286
220 × 2143
First multiples
471,460 · 942,920 (double) · 1,414,380 · 1,885,840 · 2,357,300 · 2,828,760 · 3,300,220 · 3,771,680 · 4,243,140 · 4,714,600

Sums & aliquot sequence

As consecutive integers: 94,290 + 94,291 + 94,292 + 94,293 + 94,294 58,929 + 58,930 + … + 58,936 42,855 + 42,856 + … + 42,865 11,767 + 11,768 + … + 11,806
Aliquot sequence: 471,460 609,116 524,884 393,670 314,954 157,480 211,160 264,040 461,720 808,360 1,271,000 1,873,960 2,726,840 3,408,640 4,759,184 5,004,700 5,855,716 — unresolved within range

Continued fraction of √n

√471,460 = [686; (1, 1, 1, 2, 3, 7, 3, 2, 3, 1, 1, 1, 1, 4, 1, 1, 2, 1, 26, 4, 1, 3, 1, 19, …)]

Representations

In words
four hundred seventy-one thousand four hundred sixty
Ordinal
471460th
Binary
1110011000110100100
Octal
1630644
Hexadecimal
0x731A4
Base64
BzGk
One's complement
4,294,495,835 (32-bit)
Scientific notation
4.7146 × 10⁵
As a duration
471,460 s = 5 days, 10 hours, 57 minutes, 40 seconds
In other bases
ternary (3) 212221201111
quaternary (4) 1303012210
quinary (5) 110041320
senary (6) 14034404
septenary (7) 4002343
nonary (9) 787644
undecimal (11) 2a2240
duodecimal (12) 1a8a04
tridecimal (13) 136792
tetradecimal (14) c3b5a
pentadecimal (15) 94a5a

As an angle

471,460° = 1,309 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοαυξʹ
Chinese
四十七萬一千四百六十
Chinese (financial)
肆拾柒萬壹仟肆佰陸拾
In other modern scripts
Eastern Arabic ٤٧١٤٦٠ Devanagari ४७१४६० Bengali ৪৭১৪৬০ Tamil ௪௭௧௪௬௦ Thai ๔๗๑๔๖๐ Tibetan ༤༧༡༤༦༠ Khmer ៤៧១៤៦០ Lao ໔໗໑໔໖໐ Burmese ၄၇၁၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471460, here are decompositions:

  • 53 + 471407 = 471460
  • 71 + 471389 = 471460
  • 107 + 471353 = 471460
  • 179 + 471281 = 471460
  • 251 + 471209 = 471460
  • 281 + 471179 = 471460
  • 359 + 471101 = 471460
  • 419 + 471041 = 471460

Showing the first eight; more decompositions exist.

Hex color
#0731A4
RGB(7, 49, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.164.

Address
0.7.49.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.49.164

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 471,460 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 471460 first appears in π at position 601,628 of the decimal expansion (the 601,628ordinal-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°.