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466,752

466,752 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.).

466,752 (four hundred sixty-six thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 11 × 13 × 17. Its proper divisors sum to 1,069,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x71F40.

Abundant Number Arithmetic Number Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
10,080
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
257,664
Square (n²)
217,857,429,504
Cube (n³)
101,685,390,935,851,008
Divisor count
112
σ(n) — sum of divisors
1,536,192
φ(n) — Euler's totient
122,880
Sum of prime factors
56

Primality

Prime factorization: 2 6 × 3 × 11 × 13 × 17

Nearest primes: 466,751 (−1) · 466,777 (+25)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 13 · 16 · 17 · 22 · 24 · 26 · 32 · 33 · 34 · 39 · 44 · 48 · 51 · 52 · 64 · 66 · 68 · 78 · 88 · 96 · 102 · 104 · 132 · 136 · 143 · 156 · 176 · 187 · 192 · 204 · 208 · 221 · 264 · 272 · 286 · 312 · 352 · 374 · 408 · 416 · 429 · 442 · 528 · 544 · 561 · 572 · 624 · 663 · 704 · 748 · 816 · 832 · 858 · 884 · 1056 · 1088 · 1122 · 1144 · 1248 · 1326 · 1496 · 1632 · 1716 · 1768 · 2112 · 2244 · 2288 · 2431 · 2496 · 2652 · 2992 · 3264 · 3432 · 3536 · 4488 · 4576 · 4862 · 5304 · 5984 · 6864 · 7072 · 7293 · 8976 · 9152 · 9724 · 10608 · 11968 · 13728 · 14144 · 14586 · 17952 · 19448 · 21216 · 27456 · 29172 · 35904 · 38896 · 42432 · 58344 · 77792 · 116688 · 155584 · 233376 (half) · 466752
Aliquot sum (sum of proper divisors): 1,069,440
Factor pairs (a × b = 466,752)
1 × 466752
2 × 233376
3 × 155584
4 × 116688
6 × 77792
8 × 58344
11 × 42432
12 × 38896
13 × 35904
16 × 29172
17 × 27456
22 × 21216
24 × 19448
26 × 17952
32 × 14586
33 × 14144
34 × 13728
39 × 11968
44 × 10608
48 × 9724
51 × 9152
52 × 8976
64 × 7293
66 × 7072
68 × 6864
78 × 5984
88 × 5304
96 × 4862
102 × 4576
104 × 4488
132 × 3536
136 × 3432
143 × 3264
156 × 2992
176 × 2652
187 × 2496
192 × 2431
204 × 2288
208 × 2244
221 × 2112
264 × 1768
272 × 1716
286 × 1632
312 × 1496
352 × 1326
374 × 1248
408 × 1144
416 × 1122
429 × 1088
442 × 1056
528 × 884
544 × 858
561 × 832
572 × 816
624 × 748
663 × 704
First multiples
466,752 · 933,504 (double) · 1,400,256 · 1,867,008 · 2,333,760 · 2,800,512 · 3,267,264 · 3,734,016 · 4,200,768 · 4,667,520

Sums & aliquot sequence

As consecutive integers: 155,583 + 155,584 + 155,585 42,427 + 42,428 + … + 42,437 35,898 + 35,899 + … + 35,910 27,448 + 27,449 + … + 27,464
Aliquot sequence: 466,752 → 1,069,440 → 2,345,520 → 5,198,640 → 10,917,888 → 18,205,752 → 27,308,688 → 49,653,648 → 111,423,840 → 280,486,560 → 603,047,616 → 992,516,376 → 1,619,370,024 → 2,523,207,096 → 4,310,478,984 → 8,407,105,656 → 12,610,658,544 — keeps growing

Continued fraction of √n

√466,752 = [683; (5, 5, 7, 3, 1, 1, 1, 4, 1, 2, 3, 341, 3, 2, 1, 4, 1, 1, 1, 3, 7, 5, 5, 1366)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-six thousand seven hundred fifty-two
Ordinal
466752nd
Binary
1110001111101000000
Octal
1617500
Hexadecimal
0x71F40
Base64
Bx9A
One's complement
4,294,500,543 (32-bit)
Scientific notation
4.66752 × 10⁵
As a duration
466,752 s = 5 days, 9 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 212201021010
quaternary (4) 1301331000
quinary (5) 104414002
senary (6) 14000520
septenary (7) 3652536
nonary (9) 781233
undecimal (11) 299750
duodecimal (12) 1a6140
tridecimal (13) 1345b0
tetradecimal (14) c2156
pentadecimal (15) 9346c

As an angle

466,752° = 1,296 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵υξϛψνβʹ
Chinese
四十六萬六千七百五十二
Chinese (financial)
肆拾陸萬陸仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ٤٦٦٧٥٢ Devanagari ४६६७५२ Bengali ৪৬৬৭৫২ Tamil ௪௬௬௭௫௨ Thai ๔๖๖๗๕๒ Tibetan ༤༦༦༧༥༢ Khmer ៤៦៦៧៥២ Lao ໔໖໖໗໕໒ Burmese ၄၆၆၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 466752, here are decompositions:

  • 5 + 466747 = 466752
  • 19 + 466733 = 466752
  • 23 + 466729 = 466752
  • 29 + 466723 = 466752
  • 79 + 466673 = 466752
  • 101 + 466651 = 466752
  • 103 + 466649 = 466752
  • 149 + 466603 = 466752

Showing the first eight; more decompositions exist.

Hex color
#071F40
RGB(7, 31, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.31.64.

Address
0.7.31.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.31.64

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 466,752 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 466752 first appears in π at position 107,226 of the decimal expansion (the 107,226ordinal-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°.