number.wiki
Live analysis

470,988

470,988 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.).

470,988 (four hundred seventy thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3³ × 7² × 89. Its proper divisors sum to 965,412, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72FCC.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
889,074
Square (n²)
221,829,696,144
Cube (n³)
104,479,124,927,470,272
Divisor count
72
σ(n) — sum of divisors
1,436,400
φ(n) — Euler's totient
133,056
Sum of prime factors
116

Primality

Prime factorization: 2 2 × 3 3 × 7 2 × 89

Nearest primes: 470,959 (−29) · 470,993 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 49 · 54 · 63 · 84 · 89 · 98 · 108 · 126 · 147 · 178 · 189 · 196 · 252 · 267 · 294 · 356 · 378 · 441 · 534 · 588 · 623 · 756 · 801 · 882 · 1068 · 1246 · 1323 · 1602 · 1764 · 1869 · 2403 · 2492 · 2646 · 3204 · 3738 · 4361 · 4806 · 5292 · 5607 · 7476 · 8722 · 9612 · 11214 · 13083 · 16821 · 17444 · 22428 · 26166 · 33642 · 39249 · 52332 · 67284 · 78498 · 117747 · 156996 · 235494 (half) · 470988
Aliquot sum (sum of proper divisors): 965,412
Factor pairs (a × b = 470,988)
1 × 470988
2 × 235494
3 × 156996
4 × 117747
6 × 78498
7 × 67284
9 × 52332
12 × 39249
14 × 33642
18 × 26166
21 × 22428
27 × 17444
28 × 16821
36 × 13083
42 × 11214
49 × 9612
54 × 8722
63 × 7476
84 × 5607
89 × 5292
98 × 4806
108 × 4361
126 × 3738
147 × 3204
178 × 2646
189 × 2492
196 × 2403
252 × 1869
267 × 1764
294 × 1602
356 × 1323
378 × 1246
441 × 1068
534 × 882
588 × 801
623 × 756
First multiples
470,988 · 941,976 (double) · 1,412,964 · 1,883,952 · 2,354,940 · 2,825,928 · 3,296,916 · 3,767,904 · 4,238,892 · 4,709,880

Sums & aliquot sequence

As consecutive integers: 156,995 + 156,996 + 156,997 67,281 + 67,282 + … + 67,287 58,870 + 58,871 + … + 58,877 52,328 + 52,329 + … + 52,336
Aliquot sequence: 470,988 965,412 1,897,308 3,584,532 6,074,348 6,127,156 6,653,612 7,087,948 8,203,328 10,401,664 17,015,936 22,432,054 11,402,474 5,715,574 2,907,866 1,841,998 921,002 — unresolved within range

Continued fraction of √n

√470,988 = [686; (3, 1, 1, 342, 1, 1, 3, 1372)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand nine hundred eighty-eight
Ordinal
470988th
Binary
1110010111111001100
Octal
1627714
Hexadecimal
0x72FCC
Base64
By/M
One's complement
4,294,496,307 (32-bit)
Scientific notation
4.70988 × 10⁵
As a duration
470,988 s = 5 days, 10 hours, 49 minutes, 48 seconds
In other bases
ternary (3) 212221002000
quaternary (4) 1302333030
quinary (5) 110032423
senary (6) 14032300
septenary (7) 4001100
nonary (9) 787060
undecimal (11) 2a1951
duodecimal (12) 1a8690
tridecimal (13) 1364bb
tetradecimal (14) c3900
pentadecimal (15) 94843

As an angle

470,988° = 1,308 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοϡπηʹ
Chinese
四十七萬零九百八十八
Chinese (financial)
肆拾柒萬零玖佰捌拾捌
In other modern scripts
Eastern Arabic ٤٧٠٩٨٨ Devanagari ४७०९८८ Bengali ৪৭০৯৮৮ Tamil ௪௭௦௯௮௮ Thai ๔๗๐๙๘๘ Tibetan ༤༧༠༩༨༨ Khmer ៤៧០៩៨៨ Lao ໔໗໐໙໘໘ Burmese ၄၇၀၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470988, here are decompositions:

  • 29 + 470959 = 470988
  • 31 + 470957 = 470988
  • 41 + 470947 = 470988
  • 47 + 470941 = 470988
  • 61 + 470927 = 470988
  • 97 + 470891 = 470988
  • 101 + 470887 = 470988
  • 107 + 470881 = 470988

Showing the first eight; more decompositions exist.

Hex color
#072FCC
RGB(7, 47, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.204.

Address
0.7.47.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.47.204

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 470,988 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 470988 first appears in π at position 362,668 of the decimal expansion (the 362,668ordinal-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°.