Live analysis

472,404

472,404 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.).

472,404 (four hundred seventy-two thousand four hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 39,367. Its proper divisors sum to 629,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73554.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

472,392 472,393 472,394 472,395 472,396 472,397 472,398 472,399 472,400 472,401 472,402 472,403 472,404 472,405 472,406 472,407 472,408 472,409 472,410 472,411 472,412 472,413 472,414 472,415 472,416

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 404,274
Recamán's sequence: a(137,280) = 472,404
Square (n²): 223,165,539,216
Cube (n³): 105,424,293,387,795,264
Divisor count: 12
σ(n) — sum of divisors: 1,102,304
φ(n) — Euler's totient: 157,464
Sum of prime factors: 39,374

Primality

Prime factorization: 2 ² × 3 × 39367

Nearest primes: 472,399 (−5) · 472,411 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 39367 · 78734 · 118101 · 157468 · 236202 (half) · 472404

Aliquot sum (sum of proper divisors): 629,900

Factor pairs (a × b = 472,404)

1 × 472404

2 × 236202

3 × 157468

4 × 118101

6 × 78734

12 × 39367

First multiples

472,404 · 944,808 (double) · 1,417,212 · 1,889,616 · 2,362,020 · 2,834,424 · 3,306,828 · 3,779,232 · 4,251,636 · 4,724,040

Sums & aliquot sequence

As consecutive integers: 157,467 + 157,468 + 157,469 59,047 + 59,048 + … + 59,054 19,672 + 19,673 + … + 19,695

Aliquot sequence: 472,404 → 629,900 → 737,200 → 1,146,360 → 2,391,720 → 5,168,280 → 11,534,280 → 23,293,560 → 46,587,480 → 105,277,800 → 221,085,240 → 442,170,840 → 884,342,040 → 1,924,750,920 → 4,229,892,600 → 8,882,776,320 → 22,356,280,704 — keeps growing

Continued fraction of √n

√472,404 = [687; (3, 6, 3, 1, 1, 1, 2, 3, 1, 1, 3, 1, 2, 4, 6, 6, 11, 2, 1, 1, 3, 9, 4, 1, …)]

Representations

In words: four hundred seventy-two thousand four hundred four
Ordinal: 472404th
Binary: 1110011010101010100
Octal: 1632524
Hexadecimal: 0x73554
Base64: BzVU
One's complement: 4,294,494,891 (32-bit)
Scientific notation: 4.72404 × 10⁵
As a duration: 472,404 s = 5 days, 11 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 220000000110

quaternary (4) 1303111110

quinary (5) 110104104

senary (6) 14043020

septenary (7) 4005162

nonary (9) 800013

undecimal (11) 2a2a19

duodecimal (12) 1a9470

tridecimal (13) 13703a

tetradecimal (14) c4232

pentadecimal (15) 94e89

As an angle

472,404° = 1,312 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υοβυδʹ
Chinese: 四十七萬二千四百零四
Chinese (financial): 肆拾柒萬貳仟肆佰零肆

In other modern scripts

Eastern Arabic ٤٧٢٤٠٤ Devanagari ४७२४०४ Bengali ৪৭২৪০৪ Tamil ௪௭௨௪௦௪ Thai ๔๗๒๔๐๔ Tibetan ༤༧༢༤༠༤ Khmer ៤៧២៤០៤ Lao ໔໗໒໔໐໔ Burmese ၄၇၂၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472404, here are decompositions:

5 + 472399 = 472404
11 + 472393 = 472404
13 + 472391 = 472404
71 + 472333 = 472404
73 + 472331 = 472404
103 + 472301 = 472404
131 + 472273 = 472404
151 + 472253 = 472404

Showing the first eight; more decompositions exist.

Hex color

#073554

RGB(7, 53, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.53.84.

Address: 0.7.53.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.53.84

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 472,404 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 US472,404 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 472404 first appears in π at position 242,612 of the decimal expansion (the 242,612ordinal-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 472404 on Pi Search ↗