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1,012,284

1,012,284 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.).

1,012,284 (one million twelve thousand two hundred eighty-four) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 7 × 13 × 103. Its proper divisors sum to 2,249,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF723C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,822,101
Square (n²)
1,024,718,896,656
Cube (n³)
1,037,306,543,582,522,304
Divisor count
96
σ(n) — sum of divisors
3,261,440
φ(n) — Euler's totient
264,384
Sum of prime factors
136

Primality

Prime factorization: 2 2 × 3 3 × 7 × 13 × 103

Nearest primes: 1,012,279 (−5) · 1,012,289 (+5)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 13 · 14 · 18 · 21 · 26 · 27 · 28 · 36 · 39 · 42 · 52 · 54 · 63 · 78 · 84 · 91 · 103 · 108 · 117 · 126 · 156 · 182 · 189 · 206 · 234 · 252 · 273 · 309 · 351 · 364 · 378 · 412 · 468 · 546 · 618 · 702 · 721 · 756 · 819 · 927 · 1092 · 1236 · 1339 · 1404 · 1442 · 1638 · 1854 · 2163 · 2457 · 2678 · 2781 · 2884 · 3276 · 3708 · 4017 · 4326 · 4914 · 5356 · 5562 · 6489 · 8034 · 8652 · 9373 · 9828 · 11124 · 12051 · 12978 · 16068 · 18746 · 19467 · 24102 · 25956 · 28119 · 36153 · 37492 · 38934 · 48204 · 56238 · 72306 · 77868 · 84357 · 112476 · 144612 · 168714 · 253071 · 337428 · 506142 (half) · 1012284
Aliquot sum (sum of proper divisors): 2,249,156
Factor pairs (a × b = 1,012,284)
1 × 1012284
2 × 506142
3 × 337428
4 × 253071
6 × 168714
7 × 144612
9 × 112476
12 × 84357
13 × 77868
14 × 72306
18 × 56238
21 × 48204
26 × 38934
27 × 37492
28 × 36153
36 × 28119
39 × 25956
42 × 24102
52 × 19467
54 × 18746
63 × 16068
78 × 12978
84 × 12051
91 × 11124
103 × 9828
108 × 9373
117 × 8652
126 × 8034
156 × 6489
182 × 5562
189 × 5356
206 × 4914
234 × 4326
252 × 4017
273 × 3708
309 × 3276
351 × 2884
364 × 2781
378 × 2678
412 × 2457
468 × 2163
546 × 1854
618 × 1638
702 × 1442
721 × 1404
756 × 1339
819 × 1236
927 × 1092
First multiples
1,012,284 · 2,024,568 (double) · 3,036,852 · 4,049,136 · 5,061,420 · 6,073,704 · 7,085,988 · 8,098,272 · 9,110,556 · 10,122,840

Sums & aliquot sequence

As consecutive integers: 337,427 + 337,428 + 337,429 144,609 + 144,610 + … + 144,615 126,532 + 126,533 + … + 126,539 112,472 + 112,473 + … + 112,480
Aliquot sequence: 1,012,284 2,249,156 2,755,900 4,354,756 4,999,484 5,644,996 6,018,572 6,233,920 13,224,512 17,309,590 13,847,690 12,544,702 6,781,034 4,172,986 2,086,496 2,021,356 1,516,024 — unresolved within range

Continued fraction of √n

√1,012,284 = [1006; (8, 8, 1, 4, 1, 1, 56, 1, 17, 1, 1, 1, 5, 1, 2, 1, 2, 80, 8, 223, 2, 5, 2, 8, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand two hundred eighty-four
Ordinal
1012284th
Binary
11110111001000111100
Octal
3671074
Hexadecimal
0xF723C
Base64
D3I8
One's complement
4,293,955,011 (32-bit)
Scientific notation
1.012284 × 10⁶
As a duration
1,012,284 s = 11 days, 17 hours, 11 minutes, 24 seconds
In other bases
ternary (3) 1220102121000
quaternary (4) 3313020330
quinary (5) 224343114
senary (6) 33410300
septenary (7) 11414160
nonary (9) 1812530
undecimal (11) 6315a9
duodecimal (12) 409990
tridecimal (13) 2959b0
tetradecimal (14) 1c4ca0
pentadecimal (15) 14ee09

As an angle

1,012,284° = 2,811 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千二百八十四
Chinese (financial)
壹佰零壹萬貳仟貳佰捌拾肆
In other modern scripts
Eastern Arabic ١٠١٢٢٨٤ Devanagari १०१२२८४ Bengali ১০১২২৮৪ Tamil ௧௦௧௨௨௮௪ Thai ๑๐๑๒๒๘๔ Tibetan ༡༠༡༢༢༨༤ Khmer ១០១២២៨៤ Lao ໑໐໑໒໒໘໔ Burmese ၁၀၁၂၂၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012284, here are decompositions:

  • 5 + 1012279 = 1012284
  • 17 + 1012267 = 1012284
  • 23 + 1012261 = 1012284
  • 43 + 1012241 = 1012284
  • 67 + 1012217 = 1012284
  • 71 + 1012213 = 1012284
  • 83 + 1012201 = 1012284
  • 101 + 1012183 = 1012284

Showing the first eight; more decompositions exist.

Hex color
#0F723C
RGB(15, 114, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.60.

Address
0.15.114.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.60

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2284 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2284-10-01 (MMDYYYY (US, single-digit day))
  • 2284-01-10 (DDMYYYY (Euro, single-digit month))
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 1,012,284 and was likely granted around 1911.

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°.