Live analysis

472,010

472,010 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.).

472,010 (four hundred seventy-two thousand ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 11 × 613. Its proper divisors sum to 588,982, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x733CA.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

471,998 471,999 472,000 472,001 472,002 472,003 472,004 472,005 472,006 472,007 472,008 472,009 472,010 472,011 472,012 472,013 472,014 472,015 472,016 472,017 472,018 472,019 472,020 472,021 472,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 10,274
Square (n²): 222,793,440,100
Cube (n³): 105,160,731,661,601,000
Divisor count: 32
σ(n) — sum of divisors: 1,060,992
φ(n) — Euler's totient: 146,880
Sum of prime factors: 638

Primality

Prime factorization: 2 × 5 × 7 × 11 × 613

Nearest primes: 471,997 (−13) · 472,019 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 5 · 7 · 10 · 11 · 14 · 22 · 35 · 55 · 70 · 77 · 110 · 154 · 385 · 613 · 770 · 1226 · 3065 · 4291 · 6130 · 6743 · 8582 · 13486 · 21455 · 33715 · 42910 · 47201 · 67430 · 94402 · 236005 (half) · 472010

Aliquot sum (sum of proper divisors): 588,982

Factor pairs (a × b = 472,010)

1 × 472010

2 × 236005

5 × 94402

7 × 67430

10 × 47201

11 × 42910

14 × 33715

22 × 21455

35 × 13486

55 × 8582

70 × 6743

77 × 6130

110 × 4291

154 × 3065

385 × 1226

613 × 770

First multiples

472,010 · 944,020 (double) · 1,416,030 · 1,888,040 · 2,360,050 · 2,832,060 · 3,304,070 · 3,776,080 · 4,248,090 · 4,720,100

Sums & aliquot sequence

As consecutive integers: 118,001 + 118,002 + 118,003 + 118,004 94,400 + 94,401 + 94,402 + 94,403 + 94,404 67,427 + 67,428 + … + 67,433 42,905 + 42,906 + … + 42,915

Aliquot sequence: 472,010 → 588,982 → 350,438 → 257,386 → 128,696 → 112,624 → 105,616 → 144,368 → 175,552 → 201,384 → 344,226 → 352,158 → 352,170 → 800,982 → 1,403,178 → 1,804,182 → 1,818,138 — unresolved within range

Continued fraction of √n

√472,010 = [687; (33, 1, 1, 18, 1, 5, 2, 8, 2, 5, 1, 18, 1, 1, 33, 1374)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand ten
Ordinal: 472010th
Binary: 1110011001111001010
Octal: 1631712
Hexadecimal: 0x733CA
Base64: BzPK
One's complement: 4,294,495,285 (32-bit)
Scientific notation: 4.7201 × 10⁵
As a duration: 472,010 s = 5 days, 11 hours, 6 minutes, 50 seconds

In other bases

ternary (3) 212222110212

quaternary (4) 1303033022

quinary (5) 110101020

senary (6) 14041122

septenary (7) 4004060

nonary (9) 788425

undecimal (11) 2a26a0

duodecimal (12) 1a91a2

tridecimal (13) 136ac6

tetradecimal (14) c4030

pentadecimal (15) 94cc5

As an angle

472,010° = 1,311 × 360° + 50°

50° ≈ 0.873 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆
Greek (Milesian): ͵υοβιʹ
Chinese: 四十七萬二千零一十
Chinese (financial): 肆拾柒萬貳仟零壹拾

In other modern scripts

Eastern Arabic ٤٧٢٠١٠ Devanagari ४७२०१० Bengali ৪৭২০১০ Tamil ௪௭௨௦௧௦ Thai ๔๗๒๐๑๐ Tibetan ༤༧༢༠༡༠ Khmer ៤៧២០១០ Lao ໔໗໒໐໑໐ Burmese ၄၇၂၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472010, here are decompositions:

13 + 471997 = 472010
61 + 471949 = 472010
67 + 471943 = 472010
79 + 471931 = 472010
103 + 471907 = 472010
109 + 471901 = 472010
139 + 471871 = 472010
157 + 471853 = 472010

Showing the first eight; more decompositions exist.

Hex color

#0733CA

RGB(7, 51, 202)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.51.202.

Address: 0.7.51.202
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.51.202

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 472,010 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 US472,010 on Google Patents ↗ Look up on USPTO ↗