Live analysis

471,040

471,040 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.).

471,040 (four hundred seventy-one thousand forty) is an even 6-digit number. It is a composite number with 52 divisors, and factors as 2¹² × 5 × 23. Its proper divisors sum to 708,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73000.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

471,028 471,029 471,030 471,031 471,032 471,033 471,034 471,035 471,036 471,037 471,038 471,039 471,040 471,041 471,042 471,043 471,044 471,045 471,046 471,047 471,048 471,049 471,050 471,051 471,052

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 40,174
Square (n²): 221,878,681,600
Cube (n³): 104,513,734,180,864,000
Divisor count: 52
σ(n) — sum of divisors: 1,179,504
φ(n) — Euler's totient: 180,224
Sum of prime factors: 52

Primality

Prime factorization: 2 ¹² × 5 × 23

Nearest primes: 471,007 (−33) · 471,041 (+1)

Divisors & multiples

All divisors (52)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 32 · 40 · 46 · 64 · 80 · 92 · 115 · 128 · 160 · 184 · 230 · 256 · 320 · 368 · 460 · 512 · 640 · 736 · 920 · 1024 · 1280 · 1472 · 1840 · 2048 · 2560 · 2944 · 3680 · 4096 · 5120 · 5888 · 7360 · 10240 · 11776 · 14720 · 20480 · 23552 · 29440 · 47104 · 58880 · 94208 · 117760 · 235520 (half) · 471040

Aliquot sum (sum of proper divisors): 708,464

Factor pairs (a × b = 471,040)

1 × 471040

2 × 235520

4 × 117760

5 × 94208

8 × 58880

10 × 47104

16 × 29440

20 × 23552

23 × 20480

32 × 14720

40 × 11776

46 × 10240

64 × 7360

80 × 5888

92 × 5120

115 × 4096

128 × 3680

160 × 2944

184 × 2560

230 × 2048

256 × 1840

320 × 1472

368 × 1280

460 × 1024

512 × 920

640 × 736

First multiples

471,040 · 942,080 (double) · 1,413,120 · 1,884,160 · 2,355,200 · 2,826,240 · 3,297,280 · 3,768,320 · 4,239,360 · 4,710,400

Sums & aliquot sequence

As consecutive integers: 94,206 + 94,207 + 94,208 + 94,209 + 94,210 20,469 + 20,470 + … + 20,491 4,039 + 4,040 + … + 4,153

Aliquot sequence: 471,040 → 708,464 → 664,216 → 811,784 → 847,096 → 825,104 → 1,049,776 → 1,522,976 → 2,174,368 → 3,014,816 → 3,948,448 → 4,936,064 → 6,517,516 → 5,294,228 → 4,039,264 → 3,913,100 → 4,680,100 — unresolved within range

Continued fraction of √n

√471,040 = [686; (3, 11, 91, 2, 2, 1, 2, 4, 1, 151, 1, 2, 2, 1, 3, 8, 10, 21, 2, 1, 6, 1, 1, 16, …)]

Representations

In words: four hundred seventy-one thousand forty
Ordinal: 471040th
Binary: 1110011000000000000
Octal: 1630000
Hexadecimal: 0x73000
Base64: BzAA
One's complement: 4,294,496,255 (32-bit)
Scientific notation: 4.7104 × 10⁵
As a duration: 471,040 s = 5 days, 10 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 212221010221

quaternary (4) 1303000000

quinary (5) 110033130

senary (6) 14032424

septenary (7) 4001203

nonary (9) 787127

undecimal (11) 2a1999

duodecimal (12) 1a8714

tridecimal (13) 13652b

tetradecimal (14) c393a

pentadecimal (15) 9487a

As an angle

471,040° = 1,308 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοαμʹ
Chinese: 四十七萬一千零四十
Chinese (financial): 肆拾柒萬壹仟零肆拾

In other modern scripts

Eastern Arabic ٤٧١٠٤٠ Devanagari ४७१०४० Bengali ৪৭১০৪০ Tamil ௪௭௧௦௪௦ Thai ๔๗๑๐๔๐ Tibetan ༤༧༡༠༤༠ Khmer ៤៧១០៤០ Lao ໔໗໑໐໔໐ Burmese ၄၇၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471040, here are decompositions:

41 + 470999 = 471040
47 + 470993 = 471040
83 + 470957 = 471040
107 + 470933 = 471040
113 + 470927 = 471040
137 + 470903 = 471040
149 + 470891 = 471040
173 + 470867 = 471040

Showing the first eight; more decompositions exist.

Hex color

#073000

RGB(7, 48, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.48.0.

Address: 0.7.48.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.48.0

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 471,040 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US471,040 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 471040 first appears in π at position 1,268 of the decimal expansion (the 1,268ordinal-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.

Look up 471040 on Pi Search ↗