Live analysis

473,620

473,620 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.).

473,620 (four hundred seventy-three thousand six hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 7 × 17 × 199. Its proper divisors sum to 735,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73A14.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

473,608 473,609 473,610 473,611 473,612 473,613 473,614 473,615 473,616 473,617 473,618 473,619 473,620 473,621 473,622 473,623 473,624 473,625 473,626 473,627 473,628 473,629 473,630 473,631 473,632

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Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 26,374
Recamán's sequence: a(138,172) = 473,620
Square (n²): 224,315,904,400
Cube (n³): 106,240,498,641,928,000
Divisor count: 48
σ(n) — sum of divisors: 1,209,600
φ(n) — Euler's totient: 152,064
Sum of prime factors: 232

Primality

Prime factorization: 2 ² × 5 × 7 × 17 × 199

Nearest primes: 473,617 (−3) · 473,633 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 10 · 14 · 17 · 20 · 28 · 34 · 35 · 68 · 70 · 85 · 119 · 140 · 170 · 199 · 238 · 340 · 398 · 476 · 595 · 796 · 995 · 1190 · 1393 · 1990 · 2380 · 2786 · 3383 · 3980 · 5572 · 6766 · 6965 · 13532 · 13930 · 16915 · 23681 · 27860 · 33830 · 47362 · 67660 · 94724 · 118405 · 236810 (half) · 473620

Aliquot sum (sum of proper divisors): 735,980

Factor pairs (a × b = 473,620)

1 × 473620

2 × 236810

4 × 118405

5 × 94724

7 × 67660

10 × 47362

14 × 33830

17 × 27860

20 × 23681

28 × 16915

34 × 13930

35 × 13532

68 × 6965

70 × 6766

85 × 5572

119 × 3980

140 × 3383

170 × 2786

199 × 2380

238 × 1990

340 × 1393

398 × 1190

476 × 995

595 × 796

First multiples

473,620 · 947,240 (double) · 1,420,860 · 1,894,480 · 2,368,100 · 2,841,720 · 3,315,340 · 3,788,960 · 4,262,580 · 4,736,200

Sums & aliquot sequence

As consecutive integers: 94,722 + 94,723 + 94,724 + 94,725 + 94,726 67,657 + 67,658 + … + 67,663 59,199 + 59,200 + … + 59,206 27,852 + 27,853 + … + 27,868

Aliquot sequence: 473,620 → 735,980 → 1,064,308 → 1,064,364 → 1,774,164 → 2,957,164 → 2,957,220 → 7,298,844 → 12,513,900 → 29,983,380 → 65,964,780 → 176,288,868 → 363,771,198 → 597,205,026 → 822,901,662 → 1,163,544,930 → 2,002,081,950 — unresolved within range

Continued fraction of √n

√473,620 = [688; (4, 1, 71, 1, 1, 1, 3, 1, 6, 3, 1, 1, 1, 85, 2, 1, 1, 2, 1, 1, 1, 1, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand six hundred twenty
Ordinal: 473620th
Binary: 1110011101000010100
Octal: 1635024
Hexadecimal: 0x73A14
Base64: BzoU
One's complement: 4,294,493,675 (32-bit)
Scientific notation: 4.7362 × 10⁵
As a duration: 473,620 s = 5 days, 11 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 220001200111

quaternary (4) 1303220110

quinary (5) 110123440

senary (6) 14052404

septenary (7) 4011550

nonary (9) 801614

undecimal (11) 2a3924

duodecimal (12) 1aa104

tridecimal (13) 137764

tetradecimal (14) c4860

pentadecimal (15) 954ea

As an angle

473,620° = 1,315 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υογχκʹ
Chinese: 四十七萬三千六百二十
Chinese (financial): 肆拾柒萬參仟陸佰貳拾

In other modern scripts

Eastern Arabic ٤٧٣٦٢٠ Devanagari ४७३६२० Bengali ৪৭৩৬২০ Tamil ௪௭௩௬௨௦ Thai ๔๗๓๖๒๐ Tibetan ༤༧༣༦༢༠ Khmer ៤៧៣៦២០ Lao ໔໗໓໖໒໐ Burmese ၄၇၃၆၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473620, here are decompositions:

3 + 473617 = 473620
23 + 473597 = 473620
41 + 473579 = 473620
71 + 473549 = 473620
89 + 473531 = 473620
101 + 473519 = 473620
107 + 473513 = 473620
113 + 473507 = 473620

Showing the first eight; more decompositions exist.

Hex color

#073A14

RGB(7, 58, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.58.20.

Address: 0.7.58.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.58.20

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 473,620 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 US473,620 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 473620 first appears in π at position 65,730 of the decimal expansion (the 65,730ordinal-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.

Look up 473620 on Pi Search ↗