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461,724

461,724 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.).

461,724 (four hundred sixty-one thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 109 × 353. Its proper divisors sum to 628,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x70B9C.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,344
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
427,164
Square (n²)
213,189,052,176
Cube (n³)
98,434,501,926,911,424
Divisor count
24
σ(n) — sum of divisors
1,090,320
φ(n) — Euler's totient
152,064
Sum of prime factors
469

Primality

Prime factorization: 2 2 × 3 × 109 × 353

Nearest primes: 461,717 (−7) · 461,801 (+77)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 109 · 218 · 327 · 353 · 436 · 654 · 706 · 1059 · 1308 · 1412 · 2118 · 4236 · 38477 · 76954 · 115431 · 153908 · 230862 (half) · 461724
Aliquot sum (sum of proper divisors): 628,596
Factor pairs (a × b = 461,724)
1 × 461724
2 × 230862
3 × 153908
4 × 115431
6 × 76954
12 × 38477
109 × 4236
218 × 2118
327 × 1412
353 × 1308
436 × 1059
654 × 706
First multiples
461,724 · 923,448 (double) · 1,385,172 · 1,846,896 · 2,308,620 · 2,770,344 · 3,232,068 · 3,693,792 · 4,155,516 · 4,617,240

Sums & aliquot sequence

As consecutive integers: 153,907 + 153,908 + 153,909 57,712 + 57,713 + … + 57,719 19,227 + 19,228 + … + 19,250 4,182 + 4,183 + … + 4,290
Aliquot sequence: 461,724 → 628,596 → 1,045,804 → 784,360 → 980,540 → 1,266,292 → 975,248 → 914,326 → 653,114 → 568,582 → 463,898 → 236,710 → 189,386 → 94,696 → 121,304 → 110,896 → 112,304 — unresolved within range

Continued fraction of √n

√461,724 = [679; (1, 1, 90, 9, 1, 53, 2, 5, 1, 3, 3, 2, 1, 2, 1, 21, 1, 1, 4, 1, 1, 2, 1, 2, …)]

Representations

In words
four hundred sixty-one thousand seven hundred twenty-four
Ordinal
461724th
Binary
1110000101110011100
Octal
1605634
Hexadecimal
0x70B9C
Base64
Bwuc
One's complement
4,294,505,571 (32-bit)
Scientific notation
4.61724 × 10⁵
As a duration
461,724 s = 5 days, 8 hours, 15 minutes, 24 seconds
In other bases
ternary (3) 212110100220
quaternary (4) 1300232130
quinary (5) 104233344
senary (6) 13521340
septenary (7) 3632064
nonary (9) 773326
undecimal (11) 29599a
duodecimal (12) 1a3250
tridecimal (13) 132213
tetradecimal (14) c03a4
pentadecimal (15) 91c19
Palindromic in base 15

As an angle

461,724° = 1,282 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξαψκδʹ
Chinese
四十六萬一千七百二十四
Chinese (financial)
肆拾陸萬壹仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ٤٦١٧٢٤ Devanagari ४६१७२४ Bengali ৪৬১৭২৪ Tamil ௪௬௧௭௨௪ Thai ๔๖๑๗๒๔ Tibetan ༤༦༡༧༢༤ Khmer ៤៦១៧២៤ Lao ໔໖໑໗໒໔ Burmese ၄၆၁၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 461724, here are decompositions:

  • 7 + 461717 = 461724
  • 17 + 461707 = 461724
  • 31 + 461693 = 461724
  • 37 + 461687 = 461724
  • 47 + 461677 = 461724
  • 71 + 461653 = 461724
  • 97 + 461627 = 461724
  • 163 + 461561 = 461724

Showing the first eight; more decompositions exist.

Hex color
#070B9C
RGB(7, 11, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.11.156.

Address
0.7.11.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.11.156

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 461,724 and was likely granted around 1891.

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

Related reading

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