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464,814

464,814 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.).

464,814 (four hundred sixty-four thousand eight hundred fourteen) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2 × 3² × 7² × 17 × 31. Its proper divisors sum to 815,634, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x717AE.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,072
Digital root
9
Palindrome
No
Bit width
19 bits
Reversed
418,464
Recamán's sequence
a(132,700) = 464,814
Square (n²)
216,052,054,596
Cube (n³)
100,424,019,704,985,144
Divisor count
72
σ(n) — sum of divisors
1,280,448
φ(n) — Euler's totient
120,960
Sum of prime factors
70

Primality

Prime factorization: 2 × 3 2 × 7 2 × 17 × 31

Nearest primes: 464,813 (−1) · 464,819 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 17 · 18 · 21 · 31 · 34 · 42 · 49 · 51 · 62 · 63 · 93 · 98 · 102 · 119 · 126 · 147 · 153 · 186 · 217 · 238 · 279 · 294 · 306 · 357 · 434 · 441 · 527 · 558 · 651 · 714 · 833 · 882 · 1054 · 1071 · 1302 · 1519 · 1581 · 1666 · 1953 · 2142 · 2499 · 3038 · 3162 · 3689 · 3906 · 4557 · 4743 · 4998 · 7378 · 7497 · 9114 · 9486 · 11067 · 13671 · 14994 · 22134 · 25823 · 27342 · 33201 · 51646 · 66402 · 77469 · 154938 · 232407 (half) · 464814
Aliquot sum (sum of proper divisors): 815,634
Factor pairs (a × b = 464,814)
1 × 464814
2 × 232407
3 × 154938
6 × 77469
7 × 66402
9 × 51646
14 × 33201
17 × 27342
18 × 25823
21 × 22134
31 × 14994
34 × 13671
42 × 11067
49 × 9486
51 × 9114
62 × 7497
63 × 7378
93 × 4998
98 × 4743
102 × 4557
119 × 3906
126 × 3689
147 × 3162
153 × 3038
186 × 2499
217 × 2142
238 × 1953
279 × 1666
294 × 1581
306 × 1519
357 × 1302
434 × 1071
441 × 1054
527 × 882
558 × 833
651 × 714
First multiples
464,814 · 929,628 (double) · 1,394,442 · 1,859,256 · 2,324,070 · 2,788,884 · 3,253,698 · 3,718,512 · 4,183,326 · 4,648,140

Sums & aliquot sequence

As consecutive integers: 154,937 + 154,938 + 154,939 116,202 + 116,203 + 116,204 + 116,205 66,399 + 66,400 + … + 66,405 51,642 + 51,643 + … + 51,650
Aliquot sequence: 464,814 → 815,634 → 971,658 → 1,226,070 → 2,229,930 → 3,768,282 → 5,884,614 → 6,865,422 → 7,588,338 → 8,171,022 → 8,199,618 → 10,542,462 → 13,798,530 → 22,368,510 → 39,931,650 → 80,149,950 → 136,299,738 — unresolved within range

Continued fraction of √n

√464,814 = [681; (1, 3, 2, 1, 1, 53, 1, 19, 2, 1, 2, 2, 1, 1, 2, 10, 1, 7, 1, 1, 51, 1, 10, 1, …)]

Representations

In words
four hundred sixty-four thousand eight hundred fourteen
Ordinal
464814th
Binary
1110001011110101110
Octal
1613656
Hexadecimal
0x717AE
Base64
Bxeu
One's complement
4,294,502,481 (32-bit)
Scientific notation
4.64814 × 10⁵
As a duration
464,814 s = 5 days, 9 hours, 6 minutes, 54 seconds
In other bases
ternary (3) 212121121100
quaternary (4) 1301132232
quinary (5) 104333224
senary (6) 13543530
septenary (7) 3644100
nonary (9) 777540
undecimal (11) 298249
duodecimal (12) 1a4ba6
tridecimal (13) 13374c
tetradecimal (14) c1570
pentadecimal (15) 92ac9

As an angle

464,814° = 1,291 × 360° + 54°
54° ≈ 0.942 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵υξδωιδʹ
Chinese
四十六萬四千八百一十四
Chinese (financial)
肆拾陸萬肆仟捌佰壹拾肆
In other modern scripts
Eastern Arabic ٤٦٤٨١٤ Devanagari ४६४८१४ Bengali ৪৬৪৮১৪ Tamil ௪௬௪௮௧௪ Thai ๔๖๔๘๑๔ Tibetan ༤༦༤༨༡༤ Khmer ៤៦៤៨១៤ Lao ໔໖໔໘໑໔ Burmese ၄၆၄၈၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 464814, here are decompositions:

  • 5 + 464809 = 464814
  • 11 + 464803 = 464814
  • 13 + 464801 = 464814
  • 37 + 464777 = 464814
  • 41 + 464773 = 464814
  • 43 + 464771 = 464814
  • 47 + 464767 = 464814
  • 61 + 464753 = 464814

Showing the first eight; more decompositions exist.

Hex color
#0717AE
RGB(7, 23, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.23.174.

Address
0.7.23.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.23.174

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 464,814 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 464814 first appears in π at position 808,139 of the decimal expansion (the 808,139ordinal-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°.