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1,012,536

1,012,536 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.).

1,012,536 (one million twelve thousand five hundred thirty-six) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 7³ × 41. Its proper divisors sum to 2,263,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7338.

Abundant Number Arithmetic Number Evil 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
6,352,101
Square (n²)
1,025,229,151,296
Cube (n³)
1,038,081,423,936,646,656
Divisor count
96
σ(n) — sum of divisors
3,276,000
φ(n) — Euler's totient
282,240
Sum of prime factors
74

Primality

Prime factorization: 2 3 × 3 2 × 7 3 × 41

Nearest primes: 1,012,523 (−13) · 1,012,547 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 41 · 42 · 49 · 56 · 63 · 72 · 82 · 84 · 98 · 123 · 126 · 147 · 164 · 168 · 196 · 246 · 252 · 287 · 294 · 328 · 343 · 369 · 392 · 441 · 492 · 504 · 574 · 588 · 686 · 738 · 861 · 882 · 984 · 1029 · 1148 · 1176 · 1372 · 1476 · 1722 · 1764 · 2009 · 2058 · 2296 · 2583 · 2744 · 2952 · 3087 · 3444 · 3528 · 4018 · 4116 · 5166 · 6027 · 6174 · 6888 · 8036 · 8232 · 10332 · 12054 · 12348 · 14063 · 16072 · 18081 · 20664 · 24108 · 24696 · 28126 · 36162 · 42189 · 48216 · 56252 · 72324 · 84378 · 112504 · 126567 · 144648 · 168756 · 253134 · 337512 · 506268 (half) · 1012536
Aliquot sum (sum of proper divisors): 2,263,464
Factor pairs (a × b = 1,012,536)
1 × 1012536
2 × 506268
3 × 337512
4 × 253134
6 × 168756
7 × 144648
8 × 126567
9 × 112504
12 × 84378
14 × 72324
18 × 56252
21 × 48216
24 × 42189
28 × 36162
36 × 28126
41 × 24696
42 × 24108
49 × 20664
56 × 18081
63 × 16072
72 × 14063
82 × 12348
84 × 12054
98 × 10332
123 × 8232
126 × 8036
147 × 6888
164 × 6174
168 × 6027
196 × 5166
246 × 4116
252 × 4018
287 × 3528
294 × 3444
328 × 3087
343 × 2952
369 × 2744
392 × 2583
441 × 2296
492 × 2058
504 × 2009
574 × 1764
588 × 1722
686 × 1476
738 × 1372
861 × 1176
882 × 1148
984 × 1029
First multiples
1,012,536 · 2,025,072 (double) · 3,037,608 · 4,050,144 · 5,062,680 · 6,075,216 · 7,087,752 · 8,100,288 · 9,112,824 · 10,125,360

Sums & aliquot sequence

As consecutive integers: 337,511 + 337,512 + 337,513 144,645 + 144,646 + … + 144,651 112,500 + 112,501 + … + 112,508 63,276 + 63,277 + … + 63,291
Aliquot sequence: 1,012,536 2,263,464 4,996,536 7,494,864 13,357,968 23,806,320 50,465,712 92,849,768 97,450,552 89,157,608 78,120,952 102,159,848 117,080,152 133,806,008 154,385,992 142,148,708 125,747,032 — unresolved within range

Continued fraction of √n

√1,012,536 = [1006; (4, 40, 1, 4, 1, 1, 2, 40, 1, 2, 9, 40, 1, 26, 1, 40, 9, 2, 1, 40, 2, 1, 1, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand five hundred thirty-six
Ordinal
1012536th
Binary
11110111001100111000
Octal
3671470
Hexadecimal
0xF7338
Base64
D3M4
One's complement
4,293,954,759 (32-bit)
Scientific notation
1.012536 × 10⁶
As a duration
1,012,536 s = 11 days, 17 hours, 15 minutes, 36 seconds
In other bases
ternary (3) 1220102221100
quaternary (4) 3313030320
quinary (5) 224400121
senary (6) 33411400
septenary (7) 11415000
nonary (9) 1812840
undecimal (11) 631808
duodecimal (12) 409b60
tridecimal (13) 295b45
tetradecimal (14) 1c5000
pentadecimal (15) 150026

As an angle

1,012,536° = 2,812 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千五百三十六
Chinese (financial)
壹佰零壹萬貳仟伍佰參拾陸
In other modern scripts
Eastern Arabic ١٠١٢٥٣٦ Devanagari १०१२५३६ Bengali ১০১২৫৩৬ Tamil ௧௦௧௨௫௩௬ Thai ๑๐๑๒๕๓๖ Tibetan ༡༠༡༢༥༣༦ Khmer ១០១២៥៣៦ Lao ໑໐໑໒໕໓໖ Burmese ၁၀၁၂၅၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012536, here are decompositions:

  • 13 + 1012523 = 1012536
  • 17 + 1012519 = 1012536
  • 23 + 1012513 = 1012536
  • 29 + 1012507 = 1012536
  • 47 + 1012489 = 1012536
  • 73 + 1012463 = 1012536
  • 79 + 1012457 = 1012536
  • 89 + 1012447 = 1012536

Showing the first eight; more decompositions exist.

Hex color
#0F7338
RGB(15, 115, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.56.

Address
0.15.115.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.115.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 2536 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2536-10-01 (MMDYYYY (US, single-digit day))
  • 2536-01-10 (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 1,012,536 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°.