Live analysis

472,470

472,470 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.).

472,470 (four hundred seventy-two thousand four hundred seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 15,749. Its proper divisors sum to 661,530, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73596.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

472,458 472,459 472,460 472,461 472,462 472,463 472,464 472,465 472,466 472,467 472,468 472,469 472,470 472,471 472,472 472,473 472,474 472,475 472,476 472,477 472,478 472,479 472,480 472,481 472,482

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 19 bits
Reversed: 74,274
Square (n²): 223,227,900,900
Cube (n³): 105,468,486,338,223,000
Divisor count: 16
σ(n) — sum of divisors: 1,134,000
φ(n) — Euler's totient: 125,984
Sum of prime factors: 15,759

Primality

Prime factorization: 2 × 3 × 5 × 15749

Nearest primes: 472,469 (−1) · 472,477 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 15749 · 31498 · 47247 · 78745 · 94494 · 157490 · 236235 (half) · 472470

Aliquot sum (sum of proper divisors): 661,530

Factor pairs (a × b = 472,470)

1 × 472470

2 × 236235

3 × 157490

5 × 94494

6 × 78745

10 × 47247

15 × 31498

30 × 15749

First multiples

472,470 · 944,940 (double) · 1,417,410 · 1,889,880 · 2,362,350 · 2,834,820 · 3,307,290 · 3,779,760 · 4,252,230 · 4,724,700

Sums & aliquot sequence

As consecutive integers: 157,489 + 157,490 + 157,491 118,116 + 118,117 + 118,118 + 118,119 94,492 + 94,493 + 94,494 + 94,495 + 94,496 39,367 + 39,368 + … + 39,378

Aliquot sequence: 472,470 → 661,530 → 926,214 → 926,226 → 1,367,598 → 1,384,098 → 1,384,110 → 3,071,250 → 7,425,390 → 14,024,850 → 29,061,678 → 32,121,042 → 32,176,590 → 45,569,586 → 45,866,382 → 45,939,138 → 59,064,702 — unresolved within range

Continued fraction of √n

√472,470 = [687; (2, 1, 2, 1, 8, 2, 274, 2, 8, 1, 2, 1, 2, 1374)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand four hundred seventy
Ordinal: 472470th
Binary: 1110011010110010110
Octal: 1632626
Hexadecimal: 0x73596
Base64: BzWW
One's complement: 4,294,494,825 (32-bit)
Scientific notation: 4.7247 × 10⁵
As a duration: 472,470 s = 5 days, 11 hours, 14 minutes, 30 seconds

In other bases

ternary (3) 220000002220

quaternary (4) 1303112112

quinary (5) 110104340

senary (6) 14043210

septenary (7) 4005315

nonary (9) 800086

undecimal (11) 2a2a79

duodecimal (12) 1a9506

tridecimal (13) 13708b

tetradecimal (14) c427c

pentadecimal (15) 94ed0

As an angle

472,470° = 1,312 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵υοβυοʹ
Chinese: 四十七萬二千四百七十
Chinese (financial): 肆拾柒萬貳仟肆佰柒拾

In other modern scripts

Eastern Arabic ٤٧٢٤٧٠ Devanagari ४७२४७० Bengali ৪৭২৪৭০ Tamil ௪௭௨௪௭௦ Thai ๔๗๒๔๗๐ Tibetan ༤༧༢༤༧༠ Khmer ៤៧២៤៧០ Lao ໔໗໒໔໗໐ Burmese ၄၇၂၄၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472470, here are decompositions:

13 + 472457 = 472470
59 + 472411 = 472470
71 + 472399 = 472470
79 + 472391 = 472470
101 + 472369 = 472470
137 + 472333 = 472470
139 + 472331 = 472470
151 + 472319 = 472470

Showing the first eight; more decompositions exist.

Hex color

#073596

RGB(7, 53, 150)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.150.

Address: 0.7.53.150
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.150

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 472,470 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 US472,470 on Google Patents ↗ Look up on USPTO ↗