Live analysis

473,460

473,460 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.).

473,460 (four hundred seventy-three thousand four hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 607. Its proper divisors sum to 956,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73974.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

473,448 473,449 473,450 473,451 473,452 473,453 473,454 473,455 473,456 473,457 473,458 473,459 473,460 473,461 473,462 473,463 473,464 473,465 473,466 473,467 473,468 473,469 473,470 473,471 473,472

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 64,374
Recamán's sequence: a(138,064) = 473,460
Square (n²): 224,164,371,600
Cube (n³): 106,132,863,377,736,000
Divisor count: 48
σ(n) — sum of divisors: 1,430,016
φ(n) — Euler's totient: 116,352
Sum of prime factors: 632

Primality

Prime factorization: 2 ² × 3 × 5 × 13 × 607

Nearest primes: 473,453 (−7) · 473,471 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 156 · 195 · 260 · 390 · 607 · 780 · 1214 · 1821 · 2428 · 3035 · 3642 · 6070 · 7284 · 7891 · 9105 · 12140 · 15782 · 18210 · 23673 · 31564 · 36420 · 39455 · 47346 · 78910 · 94692 · 118365 · 157820 · 236730 (half) · 473460

Aliquot sum (sum of proper divisors): 956,556

Factor pairs (a × b = 473,460)

1 × 473460

2 × 236730

3 × 157820

4 × 118365

5 × 94692

6 × 78910

10 × 47346

12 × 39455

13 × 36420

15 × 31564

20 × 23673

26 × 18210

30 × 15782

39 × 12140

52 × 9105

60 × 7891

65 × 7284

78 × 6070

130 × 3642

156 × 3035

195 × 2428

260 × 1821

390 × 1214

607 × 780

First multiples

473,460 · 946,920 (double) · 1,420,380 · 1,893,840 · 2,367,300 · 2,840,760 · 3,314,220 · 3,787,680 · 4,261,140 · 4,734,600

Sums & aliquot sequence

As consecutive integers: 157,819 + 157,820 + 157,821 94,690 + 94,691 + 94,692 + 94,693 + 94,694 59,179 + 59,180 + … + 59,186 36,414 + 36,415 + … + 36,426

Aliquot sequence: 473,460 → 956,556 → 1,674,324 → 2,794,476 → 3,838,164 → 5,932,044 → 9,432,396 → 15,022,244 → 11,266,690 → 9,013,370 → 7,316,878 → 3,658,442 → 1,829,224 → 1,627,676 → 1,240,924 → 930,700 → 1,147,292 — unresolved within range

Continued fraction of √n

√473,460 = [688; (11, 1, 6, 3, 2, 7, 5, 1, 4, 1, 1, 1, 4, 1, 1, 1, 4, 1, 5, 7, 2, 3, 6, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-three thousand four hundred sixty
Ordinal: 473460th
Binary: 1110011100101110100
Octal: 1634564
Hexadecimal: 0x73974
Base64: Bzl0
One's complement: 4,294,493,835 (32-bit)
Scientific notation: 4.7346 × 10⁵
As a duration: 473,460 s = 5 days, 11 hours, 31 minutes

In other bases

ternary (3) 220001110120

quaternary (4) 1303211310

quinary (5) 110122320

senary (6) 14051540

septenary (7) 4011231

nonary (9) 801416

undecimal (11) 2a3799

duodecimal (12) 1a9bb0

tridecimal (13) 137670

tetradecimal (14) c4788

pentadecimal (15) 95440

As an angle

473,460° = 1,315 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹 ·
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υογυξʹ
Chinese: 四十七萬三千四百六十
Chinese (financial): 肆拾柒萬參仟肆佰陸拾

In other modern scripts

Eastern Arabic ٤٧٣٤٦٠ Devanagari ४७३४६० Bengali ৪৭৩৪৬০ Tamil ௪௭௩௪௬௦ Thai ๔๗๓๔๖๐ Tibetan ༤༧༣༤༦༠ Khmer ៤៧៣៤៦០ Lao ໔໗໓໔໖໐ Burmese ၄၇၃၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 473460, here are decompositions:

7 + 473453 = 473460
17 + 473443 = 473460
19 + 473441 = 473460
41 + 473419 = 473460
79 + 473381 = 473460
83 + 473377 = 473460
107 + 473353 = 473460
109 + 473351 = 473460

Showing the first eight; more decompositions exist.

Hex color

#073974

RGB(7, 57, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.57.116.

Address: 0.7.57.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.57.116

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 473,460 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 US473,460 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 473460 first appears in π at position 557,750 of the decimal expansion (the 557,750ordinal-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 473460 on Pi Search ↗