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967,428

967,428 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.).

967,428 (nine hundred sixty-seven thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 7 × 11 × 349. Its proper divisors sum to 2,090,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC304.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
24,192
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
824,769
Square (n²)
935,916,935,184
Cube (n³)
905,432,248,771,186,752
Divisor count
72
σ(n) — sum of divisors
3,057,600
φ(n) — Euler's totient
250,560
Sum of prime factors
377

Primality

Prime factorization: 2 2 × 3 2 × 7 × 11 × 349

Nearest primes: 967,427 (−1) · 967,429 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 11 · 12 · 14 · 18 · 21 · 22 · 28 · 33 · 36 · 42 · 44 · 63 · 66 · 77 · 84 · 99 · 126 · 132 · 154 · 198 · 231 · 252 · 308 · 349 · 396 · 462 · 693 · 698 · 924 · 1047 · 1386 · 1396 · 2094 · 2443 · 2772 · 3141 · 3839 · 4188 · 4886 · 6282 · 7329 · 7678 · 9772 · 11517 · 12564 · 14658 · 15356 · 21987 · 23034 · 26873 · 29316 · 34551 · 43974 · 46068 · 53746 · 69102 · 80619 · 87948 · 107492 · 138204 · 161238 · 241857 · 322476 · 483714 (half) · 967428
Aliquot sum (sum of proper divisors): 2,090,172
Factor pairs (a × b = 967,428)
1 × 967428
2 × 483714
3 × 322476
4 × 241857
6 × 161238
7 × 138204
9 × 107492
11 × 87948
12 × 80619
14 × 69102
18 × 53746
21 × 46068
22 × 43974
28 × 34551
33 × 29316
36 × 26873
42 × 23034
44 × 21987
63 × 15356
66 × 14658
77 × 12564
84 × 11517
99 × 9772
126 × 7678
132 × 7329
154 × 6282
198 × 4886
231 × 4188
252 × 3839
308 × 3141
349 × 2772
396 × 2443
462 × 2094
693 × 1396
698 × 1386
924 × 1047
First multiples
967,428 · 1,934,856 (double) · 2,902,284 · 3,869,712 · 4,837,140 · 5,804,568 · 6,771,996 · 7,739,424 · 8,706,852 · 9,674,280

Sums & aliquot sequence

As consecutive integers: 322,475 + 322,476 + 322,477 138,201 + 138,202 + … + 138,207 120,925 + 120,926 + … + 120,932 107,488 + 107,489 + … + 107,496
Aliquot sequence: 967,428 2,090,172 3,554,628 6,788,796 11,314,884 19,485,116 19,638,724 19,638,780 50,034,180 110,076,540 248,468,052 415,747,500 969,808,980 2,189,006,988 3,752,585,004 6,380,995,796 7,583,876,524 — unresolved within range

Continued fraction of √n

√967,428 = [983; (1, 1, 2, 1, 1, 1, 11, 2, 1, 3, 23, 2, 3, 218, 3, 2, 23, 3, 1, 2, 11, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-seven thousand four hundred twenty-eight
Ordinal
967428th
Binary
11101100001100000100
Octal
3541404
Hexadecimal
0xEC304
Base64
DsME
One's complement
4,293,999,867 (32-bit)
Scientific notation
9.67428 × 10⁵
As a duration
967,428 s = 11 days, 4 hours, 43 minutes, 48 seconds
In other bases
ternary (3) 1211011001200
quaternary (4) 3230030010
quinary (5) 221424203
senary (6) 32422500
septenary (7) 11136330
nonary (9) 1734050
undecimal (11) 600930
duodecimal (12) 3a7a30
tridecimal (13) 27b457
tetradecimal (14) 1b27c0
pentadecimal (15) 1419a3

As an angle

967,428° = 2,687 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡξζυκηʹ
Chinese
九十六萬七千四百二十八
Chinese (financial)
玖拾陸萬柒仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ٩٦٧٤٢٨ Devanagari ९६७४२८ Bengali ৯৬৭৪২৮ Tamil ௯௬௭௪௨௮ Thai ๙๖๗๔๒๘ Tibetan ༩༦༧༤༢༨ Khmer ៩៦៧៤២៨ Lao ໙໖໗໔໒໘ Burmese ၉၆၇၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 967428, here are decompositions:

  • 31 + 967397 = 967428
  • 37 + 967391 = 967428
  • 67 + 967361 = 967428
  • 79 + 967349 = 967428
  • 101 + 967327 = 967428
  • 107 + 967321 = 967428
  • 109 + 967319 = 967428
  • 131 + 967297 = 967428

Showing the first eight; more decompositions exist.

Hex color
#0EC304
RGB(14, 195, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.195.4.

Address
0.14.195.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.195.4

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 967,428 and was likely granted around 1910.

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

Position in π

The digit sequence 967428 first appears in π at position 565,960 of the decimal expansion (the 565,960ordinal-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°.