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467,232

467,232 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.).

467,232 (four hundred sixty-seven thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 31 × 157. Its proper divisors sum to 806,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72120.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
2,016
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
232,764
Square (n²)
218,305,741,824
Cube (n³)
101,999,428,363,911,168
Divisor count
48
σ(n) — sum of divisors
1,274,112
φ(n) — Euler's totient
149,760
Sum of prime factors
201

Primality

Prime factorization: 2 5 × 3 × 31 × 157

Nearest primes: 467,213 (−19) · 467,237 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 31 · 32 · 48 · 62 · 93 · 96 · 124 · 157 · 186 · 248 · 314 · 372 · 471 · 496 · 628 · 744 · 942 · 992 · 1256 · 1488 · 1884 · 2512 · 2976 · 3768 · 4867 · 5024 · 7536 · 9734 · 14601 · 15072 · 19468 · 29202 · 38936 · 58404 · 77872 · 116808 · 155744 · 233616 (half) · 467232
Aliquot sum (sum of proper divisors): 806,880
Factor pairs (a × b = 467,232)
1 × 467232
2 × 233616
3 × 155744
4 × 116808
6 × 77872
8 × 58404
12 × 38936
16 × 29202
24 × 19468
31 × 15072
32 × 14601
48 × 9734
62 × 7536
93 × 5024
96 × 4867
124 × 3768
157 × 2976
186 × 2512
248 × 1884
314 × 1488
372 × 1256
471 × 992
496 × 942
628 × 744
First multiples
467,232 · 934,464 (double) · 1,401,696 · 1,868,928 · 2,336,160 · 2,803,392 · 3,270,624 · 3,737,856 · 4,205,088 · 4,672,320

Sums & aliquot sequence

As consecutive integers: 155,743 + 155,744 + 155,745 15,057 + 15,058 + … + 15,087 7,269 + 7,270 + … + 7,332 4,978 + 4,979 + … + 5,070
Aliquot sequence: 467,232 → 806,880 → 1,798,296 → 2,697,504 → 4,383,696 → 7,016,368 → 6,577,876 → 5,840,684 → 4,380,520 → 5,586,080 → 7,611,412 → 5,783,424 → 9,579,816 → 17,031,384 → 30,809,136 → 51,529,344 → 85,346,496 — unresolved within range

Continued fraction of √n

√467,232 = [683; (1, 1, 5, 4, 1, 1, 4, 1, 1, 1, 4, 2, 1, 1, 1, 2, 7, 1, 4, 6, 1, 7, 4, 2, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand two hundred thirty-two
Ordinal
467232nd
Binary
1110010000100100000
Octal
1620440
Hexadecimal
0x72120
Base64
ByEg
One's complement
4,294,500,063 (32-bit)
Scientific notation
4.67232 × 10⁵
As a duration
467,232 s = 5 days, 9 hours, 47 minutes, 12 seconds
In other bases
ternary (3) 212201220220
quaternary (4) 1302010200
quinary (5) 104422412
senary (6) 14003040
septenary (7) 3654123
nonary (9) 781826
undecimal (11) 29a047
duodecimal (12) 1a6480
tridecimal (13) 13488c
tetradecimal (14) c23ba
pentadecimal (15) 9368c

As an angle

467,232° = 1,297 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υξζσλβʹ
Chinese
四十六萬七千二百三十二
Chinese (financial)
肆拾陸萬柒仟貳佰參拾貳
In other modern scripts
Eastern Arabic ٤٦٧٢٣٢ Devanagari ४६७२३२ Bengali ৪৬৭২৩২ Tamil ௪௬௭௨௩௨ Thai ๔๖๗๒๓๒ Tibetan ༤༦༧༢༣༢ Khmer ៤៦៧២៣២ Lao ໔໖໗໒໓໒ Burmese ၄၆၇၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467232, here are decompositions:

  • 19 + 467213 = 467232
  • 23 + 467209 = 467232
  • 61 + 467171 = 467232
  • 109 + 467123 = 467232
  • 113 + 467119 = 467232
  • 131 + 467101 = 467232
  • 149 + 467083 = 467232
  • 151 + 467081 = 467232

Showing the first eight; more decompositions exist.

Hex color
#072120
RGB(7, 33, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.33.32.

Address
0.7.33.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.33.32

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 467,232 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 467232 first appears in π at position 485,275 of the decimal expansion (the 485,275ordinal-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.

Related reading

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