Live analysis

470,472

470,472 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.).

470,472 (four hundred seventy thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 19,603. Its proper divisors sum to 705,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72DC8.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Moran Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

470,460 470,461 470,462 470,463 470,464 470,465 470,466 470,467 470,468 470,469 470,470 470,471 470,472 470,473 470,474 470,475 470,476 470,477 470,478 470,479 470,480 470,481 470,482 470,483 470,484

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 274,074
Square (n²): 221,343,902,784
Cube (n³): 104,136,108,630,594,048
Divisor count: 16
σ(n) — sum of divisors: 1,176,240
φ(n) — Euler's totient: 156,816
Sum of prime factors: 19,612

Primality

Prime factorization: 2 ³ × 3 × 19603

Nearest primes: 470,471 (−1) · 470,473 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 19603 · 39206 · 58809 · 78412 · 117618 · 156824 · 235236 (half) · 470472

Aliquot sum (sum of proper divisors): 705,768

Factor pairs (a × b = 470,472)

1 × 470472

2 × 235236

3 × 156824

4 × 117618

6 × 78412

8 × 58809

12 × 39206

24 × 19603

First multiples

470,472 · 940,944 (double) · 1,411,416 · 1,881,888 · 2,352,360 · 2,822,832 · 3,293,304 · 3,763,776 · 4,234,248 · 4,704,720

Sums & aliquot sequence

As consecutive integers: 156,823 + 156,824 + 156,825 29,397 + 29,398 + … + 29,412 9,778 + 9,779 + … + 9,825

Aliquot sequence: 470,472 → 705,768 → 1,311,192 → 2,240,148 → 2,986,892 → 2,240,176 → 2,329,224 → 3,890,616 → 5,835,984 → 12,972,336 → 23,119,104 → 38,413,472 → 42,268,360 → 53,124,080 → 74,686,936 → 72,267,944 → 99,552,856 — unresolved within range

Continued fraction of √n

√470,472 = [685; (1, 10, 15, 1, 2, 10, 3, 2, 2, 13, 1, 2, 1, 2, 1, 1, 5, 6, 7, 48, 1, 5, 1, 5, …)]

Representations

In words: four hundred seventy thousand four hundred seventy-two
Ordinal: 470472nd
Binary: 1110010110111001000
Octal: 1626710
Hexadecimal: 0x72DC8
Base64: By3I
One's complement: 4,294,496,823 (32-bit)
Scientific notation: 4.70472 × 10⁵
As a duration: 470,472 s = 5 days, 10 hours, 41 minutes, 12 seconds

In other bases

ternary (3) 212220100220

quaternary (4) 1302313020

quinary (5) 110023342

senary (6) 14030040

septenary (7) 3666432

nonary (9) 786326

undecimal (11) 2a1522

duodecimal (12) 1a8320

tridecimal (13) 1361b2

tetradecimal (14) c3652

pentadecimal (15) 945ec

As an angle

470,472° = 1,306 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υουοβʹ
Chinese: 四十七萬零四百七十二
Chinese (financial): 肆拾柒萬零肆佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٠٤٧٢ Devanagari ४७०४७२ Bengali ৪৭০৪৭২ Tamil ௪௭௦௪௭௨ Thai ๔๗๐๔๗๒ Tibetan ༤༧༠༤༧༢ Khmer ៤៧០៤៧២ Lao ໔໗໐໔໗໒ Burmese ၄၇၀၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470472, here are decompositions:

11 + 470461 = 470472
19 + 470453 = 470472
29 + 470443 = 470472
43 + 470429 = 470472
59 + 470413 = 470472
61 + 470411 = 470472
73 + 470399 = 470472
83 + 470389 = 470472

Showing the first eight; more decompositions exist.

Hex color

#072DC8

RGB(7, 45, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.200.

Address: 0.7.45.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.45.200

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 470,472 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 US470,472 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470472 first appears in π at position 64,928 of the decimal expansion (the 64,928ordinal-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 470472 on Pi Search ↗