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463,372

463,372 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.).

463,372 (four hundred sixty-three thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 13 × 19 × 67. Its proper divisors sum to 602,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7120C.

Abundant Number Cube-Free Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
3,024
Digital root
7
Palindrome
No
Bit width
19 bits
Reversed
273,364
Square (n²)
214,713,610,384
Cube (n³)
99,492,275,070,854,848
Divisor count
48
σ(n) — sum of divisors
1,066,240
φ(n) — Euler's totient
171,072
Sum of prime factors
110

Primality

Prime factorization: 2 2 × 7 × 13 × 19 × 67

Nearest primes: 463,363 (−9) · 463,387 (+15)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 13 · 14 · 19 · 26 · 28 · 38 · 52 · 67 · 76 · 91 · 133 · 134 · 182 · 247 · 266 · 268 · 364 · 469 · 494 · 532 · 871 · 938 · 988 · 1273 · 1729 · 1742 · 1876 · 2546 · 3458 · 3484 · 5092 · 6097 · 6916 · 8911 · 12194 · 16549 · 17822 · 24388 · 33098 · 35644 · 66196 · 115843 · 231686 (half) · 463372
Aliquot sum (sum of proper divisors): 602,868
Factor pairs (a × b = 463,372)
1 × 463372
2 × 231686
4 × 115843
7 × 66196
13 × 35644
14 × 33098
19 × 24388
26 × 17822
28 × 16549
38 × 12194
52 × 8911
67 × 6916
76 × 6097
91 × 5092
133 × 3484
134 × 3458
182 × 2546
247 × 1876
266 × 1742
268 × 1729
364 × 1273
469 × 988
494 × 938
532 × 871
First multiples
463,372 · 926,744 (double) · 1,390,116 · 1,853,488 · 2,316,860 · 2,780,232 · 3,243,604 · 3,706,976 · 4,170,348 · 4,633,720

Sums & aliquot sequence

As consecutive integers: 66,193 + 66,194 + … + 66,199 57,918 + 57,919 + … + 57,925 35,638 + 35,639 + … + 35,650 24,379 + 24,380 + … + 24,397
Aliquot sequence: 463,372 → 602,868 → 1,005,004 → 1,365,812 → 1,365,868 → 1,365,924 → 2,541,084 → 4,837,476 → 9,015,804 → 18,993,996 → 38,780,084 → 38,780,140 → 61,213,460 → 99,058,540 → 138,682,292 → 169,765,708 → 170,518,964 — unresolved within range

Continued fraction of √n

√463,372 = [680; (1, 2, 1, 1, 453, 4, 5, 151, 12, 1, 1, 2, 50, 37, 1, 3, 1, 16, 113, 2, 1, 1, 5, 340, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-three thousand three hundred seventy-two
Ordinal
463372nd
Binary
1110001001000001100
Octal
1611014
Hexadecimal
0x7120C
Base64
BxIM
One's complement
4,294,503,923 (32-bit)
Scientific notation
4.63372 × 10⁵
As a duration
463,372 s = 5 days, 8 hours, 42 minutes, 52 seconds
In other bases
ternary (3) 212112121221
quaternary (4) 1301020030
quinary (5) 104311442
senary (6) 13533124
septenary (7) 3636640
nonary (9) 775557
undecimal (11) 297158
duodecimal (12) 1a41a4
tridecimal (13) 132bb0
tetradecimal (14) c0c20
pentadecimal (15) 92467

As an angle

463,372° = 1,287 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υξγτοβʹ
Chinese
四十六萬三千三百七十二
Chinese (financial)
肆拾陸萬參仟參佰柒拾貳
In other modern scripts
Eastern Arabic ٤٦٣٣٧٢ Devanagari ४६३३७२ Bengali ৪৬৩৩৭২ Tamil ௪௬௩௩௭௨ Thai ๔๖๓๓๗๒ Tibetan ༤༦༣༣༧༢ Khmer ៤៦៣៣៧២ Lao ໔໖໓໓໗໒ Burmese ၄၆၃၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 463372, here are decompositions:

  • 29 + 463343 = 463372
  • 53 + 463319 = 463372
  • 59 + 463313 = 463372
  • 89 + 463283 = 463372
  • 191 + 463181 = 463372
  • 269 + 463103 = 463372
  • 389 + 462983 = 463372
  • 419 + 462953 = 463372

Showing the first eight; more decompositions exist.

Hex color
#07120C
RGB(7, 18, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.18.12.

Address
0.7.18.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.18.12

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 463,372 and was likely granted around 1891.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 463372 first appears in π at position 148,721 of the decimal expansion (the 148,721ordinal-suffix:st 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.