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1,041,216

1,041,216 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.).

1,041,216 (one million forty-one thousand two hundred sixteen) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 11 × 17 × 29. Its proper divisors sum to 2,250,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE340.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
6,121,401
Square (n²)
1,084,130,758,656
Cube (n³)
1,128,814,292,004,765,696
Divisor count
112
σ(n) — sum of divisors
3,291,840
φ(n) — Euler's totient
286,720
Sum of prime factors
72

Primality

Prime factorization: 2 6 × 3 × 11 × 17 × 29

Nearest primes: 1,041,203 (−13) · 1,041,221 (+5)

Divisors & multiples

All divisors (112)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 17 · 22 · 24 · 29 · 32 · 33 · 34 · 44 · 48 · 51 · 58 · 64 · 66 · 68 · 87 · 88 · 96 · 102 · 116 · 132 · 136 · 174 · 176 · 187 · 192 · 204 · 232 · 264 · 272 · 319 · 348 · 352 · 374 · 408 · 464 · 493 · 528 · 544 · 561 · 638 · 696 · 704 · 748 · 816 · 928 · 957 · 986 · 1056 · 1088 · 1122 · 1276 · 1392 · 1479 · 1496 · 1632 · 1856 · 1914 · 1972 · 2112 · 2244 · 2552 · 2784 · 2958 · 2992 · 3264 · 3828 · 3944 · 4488 · 5104 · 5423 · 5568 · 5916 · 5984 · 7656 · 7888 · 8976 · 10208 · 10846 · 11832 · 11968 · 15312 · 15776 · 16269 · 17952 · 20416 · 21692 · 23664 · 30624 · 31552 · 32538 · 35904 · 43384 · 47328 · 61248 · 65076 · 86768 · 94656 · 130152 · 173536 · 260304 · 347072 · 520608 (half) · 1041216
Aliquot sum (sum of proper divisors): 2,250,624
Factor pairs (a × b = 1,041,216)
1 × 1041216
2 × 520608
3 × 347072
4 × 260304
6 × 173536
8 × 130152
11 × 94656
12 × 86768
16 × 65076
17 × 61248
22 × 47328
24 × 43384
29 × 35904
32 × 32538
33 × 31552
34 × 30624
44 × 23664
48 × 21692
51 × 20416
58 × 17952
64 × 16269
66 × 15776
68 × 15312
87 × 11968
88 × 11832
96 × 10846
102 × 10208
116 × 8976
132 × 7888
136 × 7656
174 × 5984
176 × 5916
187 × 5568
192 × 5423
204 × 5104
232 × 4488
264 × 3944
272 × 3828
319 × 3264
348 × 2992
352 × 2958
374 × 2784
408 × 2552
464 × 2244
493 × 2112
528 × 1972
544 × 1914
561 × 1856
638 × 1632
696 × 1496
704 × 1479
748 × 1392
816 × 1276
928 × 1122
957 × 1088
986 × 1056
First multiples
1,041,216 · 2,082,432 (double) · 3,123,648 · 4,164,864 · 5,206,080 · 6,247,296 · 7,288,512 · 8,329,728 · 9,370,944 · 10,412,160

Sums & aliquot sequence

As consecutive integers: 347,071 + 347,072 + 347,073 94,651 + 94,652 + … + 94,661 61,240 + 61,241 + … + 61,256 35,890 + 35,891 + … + 35,918
Aliquot sequence: 1,041,216 2,250,624 3,728,616 5,812,344 10,603,656 23,063,544 49,495,176 84,554,454 84,554,466 84,554,478 98,894,970 158,232,186 233,581,158 292,623,642 356,859,738 416,336,400 1,043,095,860 — unresolved within range

Continued fraction of √n

√1,041,216 = [1020; (2, 1, 1, 509, 1, 1, 2, 2040)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million forty-one thousand two hundred sixteen
Ordinal
1041216th
Binary
11111110001101000000
Octal
3761500
Hexadecimal
0xFE340
Base64
D+NA
One's complement
4,293,926,079 (32-bit)
Scientific notation
1.041216 × 10⁶
As a duration
1,041,216 s = 12 days, 1 hour, 13 minutes, 36 seconds
In other bases
ternary (3) 1221220021120
quaternary (4) 3332031000
quinary (5) 231304331
senary (6) 34152240
septenary (7) 11564421
nonary (9) 1856246
undecimal (11) 651310
duodecimal (12) 422680
tridecimal (13) 2a5c07
tetradecimal (14) 1d1648
pentadecimal (15) 158796

As an angle

1,041,216° = 2,892 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬一千二百一十六
Chinese (financial)
壹佰零肆萬壹仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٤١٢١٦ Devanagari १०४१२१६ Bengali ১০৪১২১৬ Tamil ௧௦௪௧௨௧௬ Thai ๑๐๔๑๒๑๖ Tibetan ༡༠༤༡༢༡༦ Khmer ១០៤១២១៦ Lao ໑໐໔໑໒໑໖ Burmese ၁၀၄၁၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041216, here are decompositions:

  • 13 + 1041203 = 1041216
  • 47 + 1041169 = 1041216
  • 53 + 1041163 = 1041216
  • 67 + 1041149 = 1041216
  • 79 + 1041137 = 1041216
  • 89 + 1041127 = 1041216
  • 97 + 1041119 = 1041216
  • 107 + 1041109 = 1041216

Showing the first eight; more decompositions exist.

Hex color
#0FE340
RGB(15, 227, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.227.64.

Address
0.15.227.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.227.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 1216 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1216-04-01 (DMMYYYY (Euro, single-digit day))
  • 1216-10-04 (MMDYYYY (US, single-digit day))
  • 1216-04-10 (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 1,041,216 and was likely granted around 1912.

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°.