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472,206

472,206 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.).

472,206 (four hundred seventy-two thousand two hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 11,243. Its proper divisors sum to 607,218, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7348E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
602,274
Square (n²)
222,978,506,436
Cube (n³)
105,291,788,610,117,816
Divisor count
16
σ(n) — sum of divisors
1,079,424
φ(n) — Euler's totient
134,904
Sum of prime factors
11,255

Primality

Prime factorization: 2 × 3 × 7 × 11243

Nearest primes: 472,193 (−13) · 472,247 (+41)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 11243 · 22486 · 33729 · 67458 · 78701 · 157402 · 236103 (half) · 472206
Aliquot sum (sum of proper divisors): 607,218
Factor pairs (a × b = 472,206)
1 × 472206
2 × 236103
3 × 157402
6 × 78701
7 × 67458
14 × 33729
21 × 22486
42 × 11243
First multiples
472,206 · 944,412 (double) · 1,416,618 · 1,888,824 · 2,361,030 · 2,833,236 · 3,305,442 · 3,777,648 · 4,249,854 · 4,722,060

Sums & aliquot sequence

As consecutive integers: 157,401 + 157,402 + 157,403 118,050 + 118,051 + 118,052 + 118,053 67,455 + 67,456 + … + 67,461 39,345 + 39,346 + … + 39,356
Aliquot sequence: 472,206 607,218 607,230 1,146,690 2,032,830 3,388,770 7,946,910 13,423,626 15,660,936 26,936,424 46,016,586 96,999,606 148,417,434 224,351,622 313,436,538 365,676,000 872,180,256 — unresolved within range

Continued fraction of √n

√472,206 = [687; (5, 1, 3, 1, 21, 2, 1, 2, 12, 8, 2, 1, 5, 1, 2, 2, 10, 1, 1, 3, 9, 1, 2, 12, …)]

Representations

In words
four hundred seventy-two thousand two hundred six
Ordinal
472206th
Binary
1110011010010001110
Octal
1632216
Hexadecimal
0x7348E
Base64
BzSO
One's complement
4,294,495,089 (32-bit)
Scientific notation
4.72206 × 10⁵
As a duration
472,206 s = 5 days, 11 hours, 10 minutes, 6 seconds
In other bases
ternary (3) 212222202010
quaternary (4) 1303102032
quinary (5) 110102311
senary (6) 14042050
septenary (7) 4004460
nonary (9) 788663
undecimal (11) 2a2859
duodecimal (12) 1a9326
tridecimal (13) 136c17
tetradecimal (14) c4130
pentadecimal (15) 94da6

As an angle

472,206° = 1,311 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβσϛʹ
Chinese
四十七萬二千二百零六
Chinese (financial)
肆拾柒萬貳仟貳佰零陸
In other modern scripts
Eastern Arabic ٤٧٢٢٠٦ Devanagari ४७२२०६ Bengali ৪৭২২০৬ Tamil ௪௭௨௨௦௬ Thai ๔๗๒๒๐๖ Tibetan ༤༧༢༢༠༦ Khmer ៤៧២២០៦ Lao ໔໗໒໒໐໖ Burmese ၄၇၂၂၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472206, here are decompositions:

  • 13 + 472193 = 472206
  • 17 + 472189 = 472206
  • 43 + 472163 = 472206
  • 47 + 472159 = 472206
  • 67 + 472139 = 472206
  • 73 + 472133 = 472206
  • 79 + 472127 = 472206
  • 83 + 472123 = 472206

Showing the first eight; more decompositions exist.

Hex color
#07348E
RGB(7, 52, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.142.

Address
0.7.52.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.142

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 472,206 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 472206 first appears in π at position 622,665 of the decimal expansion (the 622,665ordinal-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°.