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473,472

473,472 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.).

473,472 (four hundred seventy-three thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3³ × 137. Its proper divisors sum to 934,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73980.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
4,704
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
274,374
Recamán's sequence
a(138,088) = 473,472
Square (n²)
224,175,734,784
Cube (n³)
106,140,933,499,650,048
Divisor count
64
σ(n) — sum of divisors
1,407,600
φ(n) — Euler's totient
156,672
Sum of prime factors
160

Primality

Prime factorization: 2 7 × 3 3 × 137

Nearest primes: 473,471 (−1) · 473,477 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 96 · 108 · 128 · 137 · 144 · 192 · 216 · 274 · 288 · 384 · 411 · 432 · 548 · 576 · 822 · 864 · 1096 · 1152 · 1233 · 1644 · 1728 · 2192 · 2466 · 3288 · 3456 · 3699 · 4384 · 4932 · 6576 · 7398 · 8768 · 9864 · 13152 · 14796 · 17536 · 19728 · 26304 · 29592 · 39456 · 52608 · 59184 · 78912 · 118368 · 157824 · 236736 (half) · 473472
Aliquot sum (sum of proper divisors): 934,128
Factor pairs (a × b = 473,472)
1 × 473472
2 × 236736
3 × 157824
4 × 118368
6 × 78912
8 × 59184
9 × 52608
12 × 39456
16 × 29592
18 × 26304
24 × 19728
27 × 17536
32 × 14796
36 × 13152
48 × 9864
54 × 8768
64 × 7398
72 × 6576
96 × 4932
108 × 4384
128 × 3699
137 × 3456
144 × 3288
192 × 2466
216 × 2192
274 × 1728
288 × 1644
384 × 1233
411 × 1152
432 × 1096
548 × 864
576 × 822
First multiples
473,472 · 946,944 (double) · 1,420,416 · 1,893,888 · 2,367,360 · 2,840,832 · 3,314,304 · 3,787,776 · 4,261,248 · 4,734,720

Sums & aliquot sequence

As consecutive integers: 157,823 + 157,824 + 157,825 52,604 + 52,605 + … + 52,612 17,523 + 17,524 + … + 17,549 3,388 + 3,389 + … + 3,524
Aliquot sequence: 473,472 934,128 1,886,872 1,923,368 1,682,962 889,274 444,640 758,912 1,174,243 174,877 1 0 — terminates at zero

Continued fraction of √n

√473,472 = [688; (10, 1, 3, 85, 1, 3, 10, 1, 1, 343, 1, 1, 10, 3, 1, 85, 3, 1, 10, 1376)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-three thousand four hundred seventy-two
Ordinal
473472nd
Binary
1110011100110000000
Octal
1634600
Hexadecimal
0x73980
Base64
BzmA
One's complement
4,294,493,823 (32-bit)
Scientific notation
4.73472 × 10⁵
As a duration
473,472 s = 5 days, 11 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 220001111000
quaternary (4) 1303212000
quinary (5) 110122342
senary (6) 14052000
septenary (7) 4011246
nonary (9) 801430
undecimal (11) 2a37aa
duodecimal (12) 1aa000
tridecimal (13) 13767c
tetradecimal (14) c4796
pentadecimal (15) 9544c

As an angle

473,472° = 1,315 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υογυοβʹ
Chinese
四十七萬三千四百七十二
Chinese (financial)
肆拾柒萬參仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ٤٧٣٤٧٢ Devanagari ४७३४७२ Bengali ৪৭৩৪৭২ Tamil ௪௭௩௪௭௨ Thai ๔๗๓๔๗๒ Tibetan ༤༧༣༤༧༢ Khmer ៤៧៣៤៧២ Lao ໔໗໓໔໗໒ Burmese ၄၇၃၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473472, here are decompositions:

  • 19 + 473453 = 473472
  • 29 + 473443 = 473472
  • 31 + 473441 = 473472
  • 53 + 473419 = 473472
  • 61 + 473411 = 473472
  • 89 + 473383 = 473472
  • 151 + 473321 = 473472
  • 179 + 473293 = 473472

Showing the first eight; more decompositions exist.

Hex color
#073980
RGB(7, 57, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.128.

Address
0.7.57.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.57.128

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 473,472 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 473472 first appears in π at position 354,733 of the decimal expansion (the 354,733ordinal-suffix:rd 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°.