number.wiki
Live analysis

472,260

472,260 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.).

472,260 (four hundred seventy-two thousand two hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 463. Its proper divisors sum to 930,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734C4.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
62,274
Square (n²)
223,029,507,600
Cube (n³)
105,327,915,259,176,000
Divisor count
48
σ(n) — sum of divisors
1,403,136
φ(n) — Euler's totient
118,272
Sum of prime factors
492

Primality

Prime factorization: 2 2 × 3 × 5 × 17 × 463

Nearest primes: 472,253 (−7) · 472,261 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 68 · 85 · 102 · 170 · 204 · 255 · 340 · 463 · 510 · 926 · 1020 · 1389 · 1852 · 2315 · 2778 · 4630 · 5556 · 6945 · 7871 · 9260 · 13890 · 15742 · 23613 · 27780 · 31484 · 39355 · 47226 · 78710 · 94452 · 118065 · 157420 · 236130 (half) · 472260
Aliquot sum (sum of proper divisors): 930,876
Factor pairs (a × b = 472,260)
1 × 472260
2 × 236130
3 × 157420
4 × 118065
5 × 94452
6 × 78710
10 × 47226
12 × 39355
15 × 31484
17 × 27780
20 × 23613
30 × 15742
34 × 13890
51 × 9260
60 × 7871
68 × 6945
85 × 5556
102 × 4630
170 × 2778
204 × 2315
255 × 1852
340 × 1389
463 × 1020
510 × 926
First multiples
472,260 · 944,520 (double) · 1,416,780 · 1,889,040 · 2,361,300 · 2,833,560 · 3,305,820 · 3,778,080 · 4,250,340 · 4,722,600

Sums & aliquot sequence

As consecutive integers: 157,419 + 157,420 + 157,421 94,450 + 94,451 + 94,452 + 94,453 + 94,454 59,029 + 59,030 + … + 59,036 31,477 + 31,478 + … + 31,491
Aliquot sequence: 472,260 930,876 1,241,196 1,918,548 2,979,072 5,851,008 11,427,792 18,094,128 32,902,608 52,095,920 74,625,136 72,292,544 71,163,100 91,951,460 107,806,420 119,372,084 105,935,404 — unresolved within range

Continued fraction of √n

√472,260 = [687; (4, 1, 2, 1, 1, 1, 1, 19, 3, 3, 1, 20, 1, 2, 2, 2, 5, 1, 6, 2, 1, 5, 3, 7, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand two hundred sixty
Ordinal
472260th
Binary
1110011010011000100
Octal
1632304
Hexadecimal
0x734C4
Base64
BzTE
One's complement
4,294,495,035 (32-bit)
Scientific notation
4.7226 × 10⁵
As a duration
472,260 s = 5 days, 11 hours, 11 minutes
In other bases
ternary (3) 212222211010
quaternary (4) 1303103010
quinary (5) 110103020
senary (6) 14042220
septenary (7) 4004565
nonary (9) 788733
undecimal (11) 2a28a8
duodecimal (12) 1a9370
tridecimal (13) 136c59
tetradecimal (14) c416c
pentadecimal (15) 94de0

As an angle

472,260° = 1,311 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοβσξʹ
Chinese
四十七萬二千二百六十
Chinese (financial)
肆拾柒萬貳仟貳佰陸拾
In other modern scripts
Eastern Arabic ٤٧٢٢٦٠ Devanagari ४७२२६० Bengali ৪৭২২৬০ Tamil ௪௭௨௨௬௦ Thai ๔๗๒๒๖๐ Tibetan ༤༧༢༢༦༠ Khmer ៤៧២២៦០ Lao ໔໗໒໒໖໐ Burmese ၄၇၂၂၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472260, here are decompositions:

  • 7 + 472253 = 472260
  • 11 + 472249 = 472260
  • 13 + 472247 = 472260
  • 67 + 472193 = 472260
  • 71 + 472189 = 472260
  • 97 + 472163 = 472260
  • 101 + 472159 = 472260
  • 109 + 472151 = 472260

Showing the first eight; more decompositions exist.

Hex color
#0734C4
RGB(7, 52, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.196.

Address
0.7.52.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.52.196

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 472,260 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 472260 first appears in π at position 239,154 of the decimal expansion (the 239,154ordinal-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°.