Live analysis

472,000

472,000 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.).

472,000 (four hundred seventy-two thousand) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 59. Its proper divisors sum to 716,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733C0.

Abundant Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

471,988 471,989 471,990 471,991 471,992 471,993 471,994 471,995 471,996 471,997 471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 274
Square (n²): 222,784,000,000
Cube (n³): 105,154,048,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 1,188,720
φ(n) — Euler's totient: 185,600
Sum of prime factors: 86

Primality

Prime factorization: 2 ⁶ × 5 ³ × 59

Nearest primes: 471,997 (−3) · 472,019 (+19)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 59 · 64 · 80 · 100 · 118 · 125 · 160 · 200 · 236 · 250 · 295 · 320 · 400 · 472 · 500 · 590 · 800 · 944 · 1000 · 1180 · 1475 · 1600 · 1888 · 2000 · 2360 · 2950 · 3776 · 4000 · 4720 · 5900 · 7375 · 8000 · 9440 · 11800 · 14750 · 18880 · 23600 · 29500 · 47200 · 59000 · 94400 · 118000 · 236000 (half) · 472000

Aliquot sum (sum of proper divisors): 716,720

Factor pairs (a × b = 472,000)

1 × 472000

2 × 236000

4 × 118000

5 × 94400

8 × 59000

10 × 47200

16 × 29500

20 × 23600

25 × 18880

32 × 14750

40 × 11800

50 × 9440

59 × 8000

64 × 7375

80 × 5900

100 × 4720

118 × 4000

125 × 3776

160 × 2950

200 × 2360

236 × 2000

250 × 1888

295 × 1600

320 × 1475

400 × 1180

472 × 1000

500 × 944

590 × 800

First multiples

472,000 · 944,000 (double) · 1,416,000 · 1,888,000 · 2,360,000 · 2,832,000 · 3,304,000 · 3,776,000 · 4,248,000 · 4,720,000

Sums & aliquot sequence

As consecutive integers: 94,398 + 94,399 + 94,400 + 94,401 + 94,402 18,868 + 18,869 + … + 18,892 7,971 + 7,972 + … + 8,029 3,714 + 3,715 + … + 3,838

Aliquot sequence: 472,000 → 716,720 → 1,110,544 → 1,111,536 → 2,221,584 → 3,706,608 → 6,578,448 → 10,968,048 → 29,473,808 → 43,188,208 → 57,347,024 → 75,977,776 → 100,518,864 → 173,939,760 → 429,128,784 → 992,307,024 → 1,980,891,568 — unresolved within range

Continued fraction of √n

√472,000 = [687; (44, 3, 10, 1, 3, 343, 3, 1, 10, 3, 44, 1374)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand
Ordinal: 472000th
Binary: 1110011001111000000
Octal: 1631700
Hexadecimal: 0x733C0
Base64: BzPA
One's complement: 4,294,495,295 (32-bit)
Scientific notation: 4.72 × 10⁵
As a duration: 472,000 s = 5 days, 11 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 212222110111

quaternary (4) 1303033000

quinary (5) 110101000

senary (6) 14041104

septenary (7) 4004044

nonary (9) 788414

undecimal (11) 2a2691

duodecimal (12) 1a9194

tridecimal (13) 136ab9

tetradecimal (14) c4024

pentadecimal (15) 94cba

As an angle

472,000° = 1,311 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian): ͵υοβ
Chinese: 四十七萬二千
Chinese (financial): 肆拾柒萬貳仟

In other modern scripts

Eastern Arabic ٤٧٢٠٠٠ Devanagari ४७२००० Bengali ৪৭২০০০ Tamil ௪௭௨௦௦௦ Thai ๔๗๒๐๐๐ Tibetan ༤༧༢༠༠༠ Khmer ៤៧២០០០ Lao ໔໗໒໐໐໐ Burmese ၄၇၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472000, here are decompositions:

3 + 471997 = 472000
41 + 471959 = 472000
71 + 471929 = 472000
107 + 471893 = 472000
197 + 471803 = 472000
251 + 471749 = 472000
281 + 471719 = 472000
317 + 471683 = 472000

Showing the first eight; more decompositions exist.

Hex color

#0733C0

RGB(7, 51, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.192.

Address: 0.7.51.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.192

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 472,000 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 US472,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472000 first appears in π at position 54,197 of the decimal expansion (the 54,197ordinal-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 472000 on Pi Search ↗