Live analysis

471,420

471,420 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.).

471,420 (four hundred seventy-one thousand four hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3⁵ × 5 × 97. Its proper divisors sum to 1,026,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7317C.

Abundant Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

471,408 471,409 471,410 471,411 471,412 471,413 471,414 471,415 471,416 471,417 471,418 471,419 471,420 471,421 471,422 471,423 471,424 471,425 471,426 471,427 471,428 471,429 471,430 471,431 471,432

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Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 19 bits
Reversed: 24,174
Square (n²): 222,236,816,400
Cube (n³): 104,766,879,987,288,000
Divisor count: 72
σ(n) — sum of divisors: 1,498,224
φ(n) — Euler's totient: 124,416
Sum of prime factors: 121

Primality

Prime factorization: 2 ² × 3 ⁵ × 5 × 97

Nearest primes: 471,407 (−13) · 471,439 (+19)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 81 · 90 · 97 · 108 · 135 · 162 · 180 · 194 · 243 · 270 · 291 · 324 · 388 · 405 · 485 · 486 · 540 · 582 · 810 · 873 · 970 · 972 · 1164 · 1215 · 1455 · 1620 · 1746 · 1940 · 2430 · 2619 · 2910 · 3492 · 4365 · 4860 · 5238 · 5820 · 7857 · 8730 · 10476 · 13095 · 15714 · 17460 · 23571 · 26190 · 31428 · 39285 · 47142 · 52380 · 78570 · 94284 · 117855 · 157140 · 235710 (half) · 471420

Aliquot sum (sum of proper divisors): 1,026,804

Factor pairs (a × b = 471,420)

1 × 471420

2 × 235710

3 × 157140

4 × 117855

5 × 94284

6 × 78570

9 × 52380

10 × 47142

12 × 39285

15 × 31428

18 × 26190

20 × 23571

27 × 17460

30 × 15714

36 × 13095

45 × 10476

54 × 8730

60 × 7857

81 × 5820

90 × 5238

97 × 4860

108 × 4365

135 × 3492

162 × 2910

180 × 2619

194 × 2430

243 × 1940

270 × 1746

291 × 1620

324 × 1455

388 × 1215

405 × 1164

485 × 972

486 × 970

540 × 873

582 × 810

First multiples

471,420 · 942,840 (double) · 1,414,260 · 1,885,680 · 2,357,100 · 2,828,520 · 3,299,940 · 3,771,360 · 4,242,780 · 4,714,200

Sums & aliquot sequence

As consecutive integers: 157,139 + 157,140 + 157,141 94,282 + 94,283 + 94,284 + 94,285 + 94,286 58,924 + 58,925 + … + 58,931 52,376 + 52,377 + … + 52,384

Aliquot sequence: 471,420 → 1,026,804 → 1,428,684 → 1,904,940 → 4,188,420 → 8,517,000 → 19,787,640 → 39,893,160 → 86,092,440 → 212,022,120 → 428,311,320 → 866,051,400 → 1,997,693,880 → 5,501,826,120 → 13,717,646,520 — keeps growing

Continued fraction of √n

√471,420 = [686; (1, 1, 1, 1, 124, 4, 4, 2, 1, 10, 1, 1, 1, 11, 1, 16, 31, 6, 1, 1, 1, 342, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-one thousand four hundred twenty
Ordinal: 471420th
Binary: 1110011000101111100
Octal: 1630574
Hexadecimal: 0x7317C
Base64: BzF8
One's complement: 4,294,495,875 (32-bit)
Scientific notation: 4.7142 × 10⁵
As a duration: 471,420 s = 5 days, 10 hours, 57 minutes

In other bases

ternary (3) 212221200000

quaternary (4) 1303011330

quinary (5) 110041140

senary (6) 14034300

septenary (7) 4002255

nonary (9) 787600

undecimal (11) 2a2204

duodecimal (12) 1a8990

tridecimal (13) 136761

tetradecimal (14) c3b2c

pentadecimal (15) 94a30

As an angle

471,420° = 1,309 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοαυκʹ
Chinese: 四十七萬一千四百二十
Chinese (financial): 肆拾柒萬壹仟肆佰貳拾

In other modern scripts

Eastern Arabic ٤٧١٤٢٠ Devanagari ४७१४२० Bengali ৪৭১৪২০ Tamil ௪௭௧௪௨௦ Thai ๔๗๑๔๒๐ Tibetan ༤༧༡༤༢༠ Khmer ៤៧១៤២០ Lao ໔໗໑໔໒໐ Burmese ၄၇၁၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 471420, here are decompositions:

13 + 471407 = 471420
17 + 471403 = 471420
29 + 471391 = 471420
31 + 471389 = 471420
67 + 471353 = 471420
107 + 471313 = 471420
137 + 471283 = 471420
139 + 471281 = 471420

Showing the first eight; more decompositions exist.

Hex color

#07317C

RGB(7, 49, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.49.124.

Address: 0.7.49.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.49.124

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 471,420 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US471,420 on Google Patents ↗ Look up on USPTO ↗