Live analysis

470,742

470,742 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.).

470,742 (four hundred seventy thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 67 × 1,171. Its proper divisors sum to 485,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72ED6.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

470,730 470,731 470,732 470,733 470,734 470,735 470,736 470,737 470,738 470,739 470,740 470,741 470,742 470,743 470,744 470,745 470,746 470,747 470,748 470,749 470,750 470,751 470,752 470,753 470,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 247,074
Recamán's sequence: a(135,580) = 470,742
Square (n²): 221,598,030,564
Cube (n³): 104,315,500,103,758,488
Divisor count: 16
σ(n) — sum of divisors: 956,352
φ(n) — Euler's totient: 154,440
Sum of prime factors: 1,243

Primality

Prime factorization: 2 × 3 × 67 × 1171

Nearest primes: 470,731 (−11) · 470,749 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 67 · 134 · 201 · 402 · 1171 · 2342 · 3513 · 7026 · 78457 · 156914 · 235371 (half) · 470742

Aliquot sum (sum of proper divisors): 485,610

Factor pairs (a × b = 470,742)

1 × 470742

2 × 235371

3 × 156914

6 × 78457

67 × 7026

134 × 3513

201 × 2342

402 × 1171

First multiples

470,742 · 941,484 (double) · 1,412,226 · 1,882,968 · 2,353,710 · 2,824,452 · 3,295,194 · 3,765,936 · 4,236,678 · 4,707,420

Sums & aliquot sequence

As consecutive integers: 156,913 + 156,914 + 156,915 117,684 + 117,685 + 117,686 + 117,687 39,223 + 39,224 + … + 39,234 6,993 + 6,994 + … + 7,059

Aliquot sequence: 470,742 → 485,610 → 679,926 → 852,234 → 852,246 → 1,015,074 → 1,184,292 → 1,860,204 → 2,480,300 → 3,222,460 → 3,544,748 → 2,986,084 → 2,547,080 → 3,342,160 → 4,428,548 → 3,415,372 → 2,561,536 — unresolved within range

Continued fraction of √n

√470,742 = [686; (9, 2, 1, 1, 19, 3, 2, 3, 6, 6, 1, 1, 1, 2, 1, 3, 13, 3, 6, 1, 6, 9, 1, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand seven hundred forty-two
Ordinal: 470742nd
Binary: 1110010111011010110
Octal: 1627326
Hexadecimal: 0x72ED6
Base64: By7W
One's complement: 4,294,496,553 (32-bit)
Scientific notation: 4.70742 × 10⁵
As a duration: 470,742 s = 5 days, 10 hours, 45 minutes, 42 seconds

In other bases

ternary (3) 212220201220

quaternary (4) 1302323112

quinary (5) 110030432

senary (6) 14031210

septenary (7) 4000266

nonary (9) 786656

undecimal (11) 2a1748

duodecimal (12) 1a8506

tridecimal (13) 13635c

tetradecimal (14) c37a6

pentadecimal (15) 9472c

As an angle

470,742° = 1,307 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοψμβʹ
Chinese: 四十七萬零七百四十二
Chinese (financial): 肆拾柒萬零柒佰肆拾貳

In other modern scripts

Eastern Arabic ٤٧٠٧٤٢ Devanagari ४७०७४२ Bengali ৪৭০৭৪২ Tamil ௪௭௦௭௪௨ Thai ๔๗๐๗๔๒ Tibetan ༤༧༠༧༤༢ Khmer ៤៧០៧៤២ Lao ໔໗໐໗໔໒ Burmese ၄၇၀၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470742, here are decompositions:

11 + 470731 = 470742
23 + 470719 = 470742
31 + 470711 = 470742
53 + 470689 = 470742
73 + 470669 = 470742
79 + 470663 = 470742
89 + 470653 = 470742
149 + 470593 = 470742

Showing the first eight; more decompositions exist.

Hex color

#072ED6

RGB(7, 46, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.214.

Address: 0.7.46.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.46.214

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 470,742 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 US470,742 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470742 first appears in π at position 981,631 of the decimal expansion (the 981,631ordinal-suffix:st 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 470742 on Pi Search ↗