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464,984

464,984 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.).

464,984 (four hundred sixty-four thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 17 × 263. Its proper divisors sum to 532,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71858.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
27,648
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
489,464
Square (n²)
216,210,120,256
Cube (n³)
100,534,246,557,115,904
Divisor count
32
σ(n) — sum of divisors
997,920
φ(n) — Euler's totient
201,216
Sum of prime factors
299

Primality

Prime factorization: 2 3 × 13 × 17 × 263

Nearest primes: 464,983 (−1) · 464,993 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 68 · 104 · 136 · 221 · 263 · 442 · 526 · 884 · 1052 · 1768 · 2104 · 3419 · 4471 · 6838 · 8942 · 13676 · 17884 · 27352 · 35768 · 58123 · 116246 · 232492 (half) · 464984
Aliquot sum (sum of proper divisors): 532,936
Factor pairs (a × b = 464,984)
1 × 464984
2 × 232492
4 × 116246
8 × 58123
13 × 35768
17 × 27352
26 × 17884
34 × 13676
52 × 8942
68 × 6838
104 × 4471
136 × 3419
221 × 2104
263 × 1768
442 × 1052
526 × 884
First multiples
464,984 · 929,968 (double) · 1,394,952 · 1,859,936 · 2,324,920 · 2,789,904 · 3,254,888 · 3,719,872 · 4,184,856 · 4,649,840

Sums & aliquot sequence

As consecutive integers: 35,762 + 35,763 + … + 35,774 29,054 + 29,055 + … + 29,069 27,344 + 27,345 + … + 27,360 2,132 + 2,133 + … + 2,339
Aliquot sequence: 464,984 → 532,936 → 466,334 → 338,050 → 290,816 → 298,936 → 334,664 → 350,056 → 470,744 → 466,516 → 355,116 → 484,548 → 657,852 → 995,604 → 1,346,316 → 1,820,148 → 2,813,292 — unresolved within range

Continued fraction of √n

√464,984 = [681; (1, 8, 1, 2, 1, 7, 5, 2, 1, 1, 4, 1, 1, 2, 5, 7, 1, 2, 1, 8, 1, 1362)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-four thousand nine hundred eighty-four
Ordinal
464984th
Binary
1110001100001011000
Octal
1614130
Hexadecimal
0x71858
Base64
BxhY
One's complement
4,294,502,311 (32-bit)
Scientific notation
4.64984 × 10⁵
As a duration
464,984 s = 5 days, 9 hours, 9 minutes, 44 seconds
In other bases
ternary (3) 212121211122
quaternary (4) 1301201120
quinary (5) 104334414
senary (6) 13544412
septenary (7) 3644432
nonary (9) 777748
undecimal (11) 298393
duodecimal (12) 1a5108
tridecimal (13) 133850
tetradecimal (14) c1652
pentadecimal (15) 92b8e

As an angle

464,984° = 1,291 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδϡπδʹ
Chinese
四十六萬四千九百八十四
Chinese (financial)
肆拾陸萬肆仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٤٦٤٩٨٤ Devanagari ४६४९८४ Bengali ৪৬৪৯৮৪ Tamil ௪௬௪௯௮௪ Thai ๔๖๔๙๘๔ Tibetan ༤༦༤༩༨༤ Khmer ៤៦៤៩៨៤ Lao ໔໖໔໙໘໔ Burmese ၄၆၄၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464984, here are decompositions:

  • 31 + 464953 = 464984
  • 43 + 464941 = 464984
  • 61 + 464923 = 464984
  • 67 + 464917 = 464984
  • 127 + 464857 = 464984
  • 181 + 464803 = 464984
  • 211 + 464773 = 464984
  • 337 + 464647 = 464984

Showing the first eight; more decompositions exist.

Hex color
#071858
RGB(7, 24, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.24.88.

Address
0.7.24.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.24.88

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 464,984 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 464984 first appears in π at position 412,425 of the decimal expansion (the 412,425ordinal-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°.