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472,314

472,314 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.).

472,314 (four hundred seventy-two thousand three hundred fourteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 223 × 353. Its proper divisors sum to 479,238, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734FA.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
672
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
413,274
Square (n²)
223,080,514,596
Cube (n³)
105,364,050,170,895,144
Divisor count
16
σ(n) — sum of divisors
951,552
φ(n) — Euler's totient
156,288
Sum of prime factors
581

Primality

Prime factorization: 2 × 3 × 223 × 353

Nearest primes: 472,309 (−5) · 472,319 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 223 · 353 · 446 · 669 · 706 · 1059 · 1338 · 2118 · 78719 · 157438 · 236157 (half) · 472314
Aliquot sum (sum of proper divisors): 479,238
Factor pairs (a × b = 472,314)
1 × 472314
2 × 236157
3 × 157438
6 × 78719
223 × 2118
353 × 1338
446 × 1059
669 × 706
First multiples
472,314 · 944,628 (double) · 1,416,942 · 1,889,256 · 2,361,570 · 2,833,884 · 3,306,198 · 3,778,512 · 4,250,826 · 4,723,140

Sums & aliquot sequence

As consecutive integers: 157,437 + 157,438 + 157,439 118,077 + 118,078 + 118,079 + 118,080 39,354 + 39,355 + … + 39,365 2,007 + 2,008 + … + 2,229
Aliquot sequence: 472,314 479,238 479,250 868,590 1,448,370 3,531,150 8,075,250 14,581,566 17,822,034 20,916,666 24,402,816 50,995,584 95,752,836 146,289,146 75,901,198 37,950,602 18,975,304 — unresolved within range

Continued fraction of √n

√472,314 = [687; (3, 1, 59, 91, 1, 1, 1, 1, 1, 1, 3, 1, 3, 4, 1, 54, 5, 1, 7, 2, 1, 1, 11, 1, …)]

Representations

In words
four hundred seventy-two thousand three hundred fourteen
Ordinal
472314th
Binary
1110011010011111010
Octal
1632372
Hexadecimal
0x734FA
Base64
BzT6
One's complement
4,294,494,981 (32-bit)
Scientific notation
4.72314 × 10⁵
As a duration
472,314 s = 5 days, 11 hours, 11 minutes, 54 seconds
In other bases
ternary (3) 212222220010
quaternary (4) 1303103322
quinary (5) 110103224
senary (6) 14042350
septenary (7) 4005003
nonary (9) 788803
undecimal (11) 2a2947
duodecimal (12) 1a93b6
tridecimal (13) 136c9b
tetradecimal (14) c41aa
pentadecimal (15) 94e29

As an angle

472,314° = 1,311 × 360° + 354°
354° ≈ 6.178 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υοβτιδʹ
Chinese
四十七萬二千三百一十四
Chinese (financial)
肆拾柒萬貳仟參佰壹拾肆
In other modern scripts
Eastern Arabic ٤٧٢٣١٤ Devanagari ४७२३१४ Bengali ৪৭২৩১৪ Tamil ௪௭௨௩௧௪ Thai ๔๗๒๓๑๔ Tibetan ༤༧༢༣༡༤ Khmer ៤៧២៣១៤ Lao ໔໗໒໓໑໔ Burmese ၄၇၂၃၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472314, here are decompositions:

  • 5 + 472309 = 472314
  • 13 + 472301 = 472314
  • 41 + 472273 = 472314
  • 53 + 472261 = 472314
  • 61 + 472253 = 472314
  • 67 + 472247 = 472314
  • 151 + 472163 = 472314
  • 163 + 472151 = 472314

Showing the first eight; more decompositions exist.

Hex color
#0734FA
RGB(7, 52, 250)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.250.

Address
0.7.52.250
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.250

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 472,314 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 472314 first appears in π at position 60,951 of the decimal expansion (the 60,951ordinal-suffix:st 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°.