number.wiki
Live analysis

471,042

471,042 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.).

471,042 (four hundred seventy-one thousand forty-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3³ × 11 × 13 × 61. Its proper divisors sum to 778,878, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73002.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
240,174
Square (n²)
221,880,565,764
Cube (n³)
104,515,065,458,606,088
Divisor count
64
σ(n) — sum of divisors
1,249,920
φ(n) — Euler's totient
129,600
Sum of prime factors
96

Primality

Prime factorization: 2 × 3 3 × 11 × 13 × 61

Nearest primes: 471,041 (−1) · 471,061 (+19)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 9 · 11 · 13 · 18 · 22 · 26 · 27 · 33 · 39 · 54 · 61 · 66 · 78 · 99 · 117 · 122 · 143 · 183 · 198 · 234 · 286 · 297 · 351 · 366 · 429 · 549 · 594 · 671 · 702 · 793 · 858 · 1098 · 1287 · 1342 · 1586 · 1647 · 2013 · 2379 · 2574 · 3294 · 3861 · 4026 · 4758 · 6039 · 7137 · 7722 · 8723 · 12078 · 14274 · 17446 · 18117 · 21411 · 26169 · 36234 · 42822 · 52338 · 78507 · 157014 · 235521 (half) · 471042
Aliquot sum (sum of proper divisors): 778,878
Factor pairs (a × b = 471,042)
1 × 471042
2 × 235521
3 × 157014
6 × 78507
9 × 52338
11 × 42822
13 × 36234
18 × 26169
22 × 21411
26 × 18117
27 × 17446
33 × 14274
39 × 12078
54 × 8723
61 × 7722
66 × 7137
78 × 6039
99 × 4758
117 × 4026
122 × 3861
143 × 3294
183 × 2574
198 × 2379
234 × 2013
286 × 1647
297 × 1586
351 × 1342
366 × 1287
429 × 1098
549 × 858
594 × 793
671 × 702
First multiples
471,042 · 942,084 (double) · 1,413,126 · 1,884,168 · 2,355,210 · 2,826,252 · 3,297,294 · 3,768,336 · 4,239,378 · 4,710,420

Sums & aliquot sequence

As consecutive integers: 157,013 + 157,014 + 157,015 117,759 + 117,760 + 117,761 + 117,762 52,334 + 52,335 + … + 52,342 42,817 + 42,818 + … + 42,827
Aliquot sequence: 471,042 778,878 908,730 1,562,310 2,499,930 4,342,950 7,628,010 12,088,470 16,923,930 24,095,334 24,199,386 24,199,398 35,947,962 54,469,638 68,287,482 98,499,078 134,490,042 — unresolved within range

Continued fraction of √n

√471,042 = [686; (3, 12, 1, 151, 1, 1, 2, 4, 2, 1, 1, 151, 1, 12, 3, 1372)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-one thousand forty-two
Ordinal
471042nd
Binary
1110011000000000010
Octal
1630002
Hexadecimal
0x73002
Base64
BzAC
One's complement
4,294,496,253 (32-bit)
Scientific notation
4.71042 × 10⁵
As a duration
471,042 s = 5 days, 10 hours, 50 minutes, 42 seconds
In other bases
ternary (3) 212221011000
quaternary (4) 1303000002
quinary (5) 110033132
senary (6) 14032430
septenary (7) 4001205
nonary (9) 787130
undecimal (11) 2a19a0
duodecimal (12) 1a8716
tridecimal (13) 136530
tetradecimal (14) c393c
pentadecimal (15) 9487c
Palindromic in base 14

As an angle

471,042° = 1,308 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υοαμβʹ
Chinese
四十七萬一千零四十二
Chinese (financial)
肆拾柒萬壹仟零肆拾貳
In other modern scripts
Eastern Arabic ٤٧١٠٤٢ Devanagari ४७१०४२ Bengali ৪৭১০৪২ Tamil ௪௭௧௦௪௨ Thai ๔๗๑๐๔๒ Tibetan ༤༧༡༠༤༢ Khmer ៤៧១០៤២ Lao ໔໗໑໐໔໒ Burmese ၄၇၁၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471042, here are decompositions:

  • 43 + 470999 = 471042
  • 83 + 470959 = 471042
  • 101 + 470941 = 471042
  • 109 + 470933 = 471042
  • 139 + 470903 = 471042
  • 151 + 470891 = 471042
  • 179 + 470863 = 471042
  • 211 + 470831 = 471042

Showing the first eight; more decompositions exist.

Hex color
#073002
RGB(7, 48, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.2.

Address
0.7.48.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.48.2

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 471,042 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 471042 first appears in π at position 407,799 of the decimal expansion (the 407,799ordinal-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°.