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472,430

472,430 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.).

472,430 (four hundred seventy-two thousand four hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 17 × 397. Its proper divisors sum to 559,186, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7356E.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
19 bits
Reversed
34,274
Square (n²)
223,190,104,900
Cube (n³)
105,441,701,257,907,000
Divisor count
32
σ(n) — sum of divisors
1,031,616
φ(n) — Euler's totient
152,064
Sum of prime factors
428

Primality

Prime factorization: 2 × 5 × 7 × 17 × 397

Nearest primes: 472,421 (−9) · 472,457 (+27)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 17 · 34 · 35 · 70 · 85 · 119 · 170 · 238 · 397 · 595 · 794 · 1190 · 1985 · 2779 · 3970 · 5558 · 6749 · 13498 · 13895 · 27790 · 33745 · 47243 · 67490 · 94486 · 236215 (half) · 472430
Aliquot sum (sum of proper divisors): 559,186
Factor pairs (a × b = 472,430)
1 × 472430
2 × 236215
5 × 94486
7 × 67490
10 × 47243
14 × 33745
17 × 27790
34 × 13895
35 × 13498
70 × 6749
85 × 5558
119 × 3970
170 × 2779
238 × 1985
397 × 1190
595 × 794
First multiples
472,430 · 944,860 (double) · 1,417,290 · 1,889,720 · 2,362,150 · 2,834,580 · 3,307,010 · 3,779,440 · 4,251,870 · 4,724,300

Sums & aliquot sequence

As consecutive integers: 118,106 + 118,107 + 118,108 + 118,109 94,484 + 94,485 + 94,486 + 94,487 + 94,488 67,487 + 67,488 + … + 67,493 27,782 + 27,783 + … + 27,798
Aliquot sequence: 472,430 559,186 279,596 209,704 219,416 192,004 158,780 195,028 146,278 99,242 76,150 65,582 42,946 22,394 11,200 20,296 19,304 — unresolved within range

Continued fraction of √n

√472,430 = [687; (2, 1, 52, 4, 1, 6, 1, 7, 3, 1, 4, 3, 5, 1, 2, 4, 6, 2, 3, 1, 10, 1, 3, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-two thousand four hundred thirty
Ordinal
472430th
Binary
1110011010101101110
Octal
1632556
Hexadecimal
0x7356E
Base64
BzVu
One's complement
4,294,494,865 (32-bit)
Scientific notation
4.7243 × 10⁵
As a duration
472,430 s = 5 days, 11 hours, 13 minutes, 50 seconds
In other bases
ternary (3) 220000001102
quaternary (4) 1303111232
quinary (5) 110104210
senary (6) 14043102
septenary (7) 4005230
nonary (9) 800042
undecimal (11) 2a2a42
duodecimal (12) 1a9492
tridecimal (13) 13705a
tetradecimal (14) c4250
pentadecimal (15) 94ea5

As an angle

472,430° = 1,312 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵υοβυλʹ
Chinese
四十七萬二千四百三十
Chinese (financial)
肆拾柒萬貳仟肆佰參拾
In other modern scripts
Eastern Arabic ٤٧٢٤٣٠ Devanagari ४७२४३० Bengali ৪৭২৪৩০ Tamil ௪௭௨௪௩௦ Thai ๔๗๒๔๓๐ Tibetan ༤༧༢༤༣༠ Khmer ៤៧២៤៣០ Lao ໔໗໒໔໓໐ Burmese ၄၇၂၄၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472430, here are decompositions:

  • 19 + 472411 = 472430
  • 31 + 472399 = 472430
  • 37 + 472393 = 472430
  • 61 + 472369 = 472430
  • 97 + 472333 = 472430
  • 157 + 472273 = 472430
  • 181 + 472249 = 472430
  • 241 + 472189 = 472430

Showing the first eight; more decompositions exist.

Hex color
#07356E
RGB(7, 53, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.110.

Address
0.7.53.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.53.110

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 472,430 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 472430 first appears in π at position 348,558 of the decimal expansion (the 348,558ordinal-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°.