Live analysis

470,372

470,372 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.).

470,372 (four hundred seventy thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 107 × 157. Its proper divisors sum to 485,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72D64.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

470,360 470,361 470,362 470,363 470,364 470,365 470,366 470,367 470,368 470,369 470,370 470,371 470,372 470,373 470,374 470,375 470,376 470,377 470,378 470,379 470,380 470,381 470,382 470,383 470,384

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 19 bits
Reversed: 273,074
Square (n²): 221,249,818,384
Cube (n³): 104,069,719,572,918,848
Divisor count: 24
σ(n) — sum of divisors: 955,584
φ(n) — Euler's totient: 198,432
Sum of prime factors: 275

Primality

Prime factorization: 2 ² × 7 × 107 × 157

Nearest primes: 470,359 (−13) · 470,389 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 107 · 157 · 214 · 314 · 428 · 628 · 749 · 1099 · 1498 · 2198 · 2996 · 4396 · 16799 · 33598 · 67196 · 117593 · 235186 (half) · 470372

Aliquot sum (sum of proper divisors): 485,212

Factor pairs (a × b = 470,372)

1 × 470372

2 × 235186

4 × 117593

7 × 67196

14 × 33598

28 × 16799

107 × 4396

157 × 2996

214 × 2198

314 × 1498

428 × 1099

628 × 749

First multiples

470,372 · 940,744 (double) · 1,411,116 · 1,881,488 · 2,351,860 · 2,822,232 · 3,292,604 · 3,762,976 · 4,233,348 · 4,703,720

Sums & aliquot sequence

As consecutive integers: 67,193 + 67,194 + … + 67,199 58,793 + 58,794 + … + 58,800 8,372 + 8,373 + … + 8,427 4,343 + 4,344 + … + 4,449

Aliquot sequence: 470,372 → 485,212 → 618,660 → 1,530,396 → 2,891,476 → 3,049,900 → 4,515,588 → 10,283,196 → 20,682,564 → 37,378,236 → 62,297,284 → 63,512,764 → 63,826,756 → 63,826,812 → 129,261,188 → 130,094,524 → 130,094,580 — unresolved within range

Continued fraction of √n

√470,372 = [685; (1, 5, 8, 21, 3, 4, 2, 2, 1, 1, 4, 5, 7, 6, 1, 30, 3, 5, 1, 1, 3, 1, 6, 1, …)]

Representations

In words: four hundred seventy thousand three hundred seventy-two
Ordinal: 470372nd
Binary: 1110010110101100100
Octal: 1626544
Hexadecimal: 0x72D64
Base64: By1k
One's complement: 4,294,496,923 (32-bit)
Scientific notation: 4.70372 × 10⁵
As a duration: 470,372 s = 5 days, 10 hours, 39 minutes, 32 seconds

In other bases

ternary (3) 212220020012

quaternary (4) 1302311210

quinary (5) 110022442

senary (6) 14025352

septenary (7) 3666230

nonary (9) 786205

undecimal (11) 2a1441

duodecimal (12) 1a8258

tridecimal (13) 136136

tetradecimal (14) c35c0

pentadecimal (15) 94582

As an angle

470,372° = 1,306 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵υοτοβʹ
Chinese: 四十七萬零三百七十二
Chinese (financial): 肆拾柒萬零參佰柒拾貳

In other modern scripts

Eastern Arabic ٤٧٠٣٧٢ Devanagari ४७०३७२ Bengali ৪৭০৩৭২ Tamil ௪௭௦௩௭௨ Thai ๔๗๐๓๗๒ Tibetan ༤༧༠༣༧༢ Khmer ៤៧០៣៧២ Lao ໔໗໐໓໗໒ Burmese ၄၇၀၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470372, here are decompositions:

13 + 470359 = 470372
73 + 470299 = 470372
109 + 470263 = 470372
163 + 470209 = 470372
193 + 470179 = 470372
211 + 470161 = 470372
223 + 470149 = 470372
241 + 470131 = 470372

Showing the first eight; more decompositions exist.

Hex color

#072D64

RGB(7, 45, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.45.100.

Address: 0.7.45.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.45.100

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 470,372 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 US470,372 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470372 first appears in π at position 372,157 of the decimal expansion (the 372,157ordinal-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 470372 on Pi Search ↗