Live analysis

470,704

470,704 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.).

470,704 (four hundred seventy thousand seven hundred four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 31 × 73. Its proper divisors sum to 557,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72EB0.

Abundant Number Evil Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

470,692 470,693 470,694 470,695 470,696 470,697 470,698 470,699 470,700 470,701 470,702 470,703 470,704 470,705 470,706 470,707 470,708 470,709 470,710 470,711 470,712 470,713 470,714 470,715 470,716

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 19 bits
Reversed: 407,074
Recamán's sequence: a(135,504) = 470,704
Square (n²): 221,562,255,616
Cube (n³): 104,290,239,967,473,664
Divisor count: 40
σ(n) — sum of divisors: 1,027,712
φ(n) — Euler's totient: 207,360
Sum of prime factors: 125

Primality

Prime factorization: 2 ⁴ × 13 × 31 × 73

Nearest primes: 470,689 (−15) · 470,711 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 31 · 52 · 62 · 73 · 104 · 124 · 146 · 208 · 248 · 292 · 403 · 496 · 584 · 806 · 949 · 1168 · 1612 · 1898 · 2263 · 3224 · 3796 · 4526 · 6448 · 7592 · 9052 · 15184 · 18104 · 29419 · 36208 · 58838 · 117676 · 235352 (half) · 470704

Aliquot sum (sum of proper divisors): 557,008

Factor pairs (a × b = 470,704)

1 × 470704

2 × 235352

4 × 117676

8 × 58838

13 × 36208

16 × 29419

26 × 18104

31 × 15184

52 × 9052

62 × 7592

73 × 6448

104 × 4526

124 × 3796

146 × 3224

208 × 2263

248 × 1898

292 × 1612

403 × 1168

496 × 949

584 × 806

First multiples

470,704 · 941,408 (double) · 1,412,112 · 1,882,816 · 2,353,520 · 2,824,224 · 3,294,928 · 3,765,632 · 4,236,336 · 4,707,040

Sums & aliquot sequence

As consecutive integers: 36,202 + 36,203 + … + 36,214 15,169 + 15,170 + … + 15,199 14,694 + 14,695 + … + 14,725 6,412 + 6,413 + … + 6,484

Aliquot sequence: 470,704 → 557,008 → 558,000 → 1,453,776 → 2,426,928 → 5,001,168 → 8,339,248 → 10,516,688 → 15,481,648 → 23,418,640 → 45,148,400 → 77,367,568 → 78,543,088 → 91,737,680 → 131,962,288 → 131,963,280 → 290,343,024 — unresolved within range

Continued fraction of √n

√470,704 = [686; (12, 1, 2, 2, 1, 1, 1, 1, 3, 1, 24, 6, 17, 4, 1, 10, 1, 1, 6, 9, 2, 1, 1, 1, …)]

Representations

In words: four hundred seventy thousand seven hundred four
Ordinal: 470704th
Binary: 1110010111010110000
Octal: 1627260
Hexadecimal: 0x72EB0
Base64: By6w
One's complement: 4,294,496,591 (32-bit)
Scientific notation: 4.70704 × 10⁵
As a duration: 470,704 s = 5 days, 10 hours, 45 minutes, 4 seconds

In other bases

ternary (3) 212220200111

quaternary (4) 1302322300

quinary (5) 110030304

senary (6) 14031104

septenary (7) 4000213

nonary (9) 786614

undecimal (11) 2a1713

duodecimal (12) 1a8494

tridecimal (13) 136330

tetradecimal (14) c377a

pentadecimal (15) 94704

As an angle

470,704° = 1,307 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοψδʹ
Chinese: 四十七萬零七百零四
Chinese (financial): 肆拾柒萬零柒佰零肆

In other modern scripts

Eastern Arabic ٤٧٠٧٠٤ Devanagari ४७०७०४ Bengali ৪৭০৭০৪ Tamil ௪௭௦௭௦௪ Thai ๔๗๐๗๐๔ Tibetan ༤༧༠༧༠༤ Khmer ៤៧០៧០៤ Lao ໔໗໐໗໐໔ Burmese ၄၇၀၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470704, here are decompositions:

41 + 470663 = 470704
53 + 470651 = 470704
83 + 470621 = 470704
107 + 470597 = 470704
173 + 470531 = 470704
191 + 470513 = 470704
233 + 470471 = 470704
251 + 470453 = 470704

Showing the first eight; more decompositions exist.

Hex color

#072EB0

RGB(7, 46, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.176.

Address: 0.7.46.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.46.176

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 470,704 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 US470,704 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470704 first appears in π at position 744,020 of the decimal expansion (the 744,020ordinal-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 470704 on Pi Search ↗