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1,064,712

1,064,712 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.).

1,064,712 (one million sixty-four thousand seven hundred twelve) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 37 × 109. Its proper divisors sum to 1,944,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103F08.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
2,174,601
Square (n²)
1,133,611,642,944
Cube (n³)
1,206,969,919,582,192,128
Divisor count
64
σ(n) — sum of divisors
3,009,600
φ(n) — Euler's totient
311,040
Sum of prime factors
166

Primality

Prime factorization: 2 3 × 3 × 11 × 37 × 109

Nearest primes: 1,064,699 (−13) · 1,064,731 (+19)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 37 · 44 · 66 · 74 · 88 · 109 · 111 · 132 · 148 · 218 · 222 · 264 · 296 · 327 · 407 · 436 · 444 · 654 · 814 · 872 · 888 · 1199 · 1221 · 1308 · 1628 · 2398 · 2442 · 2616 · 3256 · 3597 · 4033 · 4796 · 4884 · 7194 · 8066 · 9592 · 9768 · 12099 · 14388 · 16132 · 24198 · 28776 · 32264 · 44363 · 48396 · 88726 · 96792 · 133089 · 177452 · 266178 · 354904 · 532356 (half) · 1064712
Aliquot sum (sum of proper divisors): 1,944,888
Factor pairs (a × b = 1,064,712)
1 × 1064712
2 × 532356
3 × 354904
4 × 266178
6 × 177452
8 × 133089
11 × 96792
12 × 88726
22 × 48396
24 × 44363
33 × 32264
37 × 28776
44 × 24198
66 × 16132
74 × 14388
88 × 12099
109 × 9768
111 × 9592
132 × 8066
148 × 7194
218 × 4884
222 × 4796
264 × 4033
296 × 3597
327 × 3256
407 × 2616
436 × 2442
444 × 2398
654 × 1628
814 × 1308
872 × 1221
888 × 1199
First multiples
1,064,712 · 2,129,424 (double) · 3,194,136 · 4,258,848 · 5,323,560 · 6,388,272 · 7,452,984 · 8,517,696 · 9,582,408 · 10,647,120

Sums & aliquot sequence

As consecutive integers: 354,903 + 354,904 + 354,905 96,787 + 96,788 + … + 96,797 66,537 + 66,538 + … + 66,552 32,248 + 32,249 + … + 32,280
Aliquot sequence: 1,064,712 → 1,944,888 → 3,498,312 → 5,374,968 → 8,127,192 → 12,893,208 → 21,236,952 → 38,517,288 → 57,949,272 → 100,903,968 → 222,921,072 → 518,876,688 → 1,007,025,648 → 1,598,164,752 → 2,722,594,416 → 4,341,786,768 → 8,988,743,952 — unresolved within range

Continued fraction of √n

√1,064,712 = [1031; (1, 5, 1, 1, 1, 1, 2, 11, 1, 4, 1, 3, 1, 14, 2, 1, 1, 1, 1, 1, 7, 4, 2, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one million sixty-four thousand seven hundred twelve
Ordinal
1064712th
Binary
100000011111100001000
Octal
4037410
Hexadecimal
0x103F08
Base64
ED8I
One's complement
4,293,902,583 (32-bit)
Scientific notation
1.064712 × 10⁶
As a duration
1,064,712 s = 12 days, 7 hours, 45 minutes, 12 seconds
In other bases
ternary (3) 2000002111210
quaternary (4) 10003330020
quinary (5) 233032322
senary (6) 34453120
septenary (7) 12023055
nonary (9) 2002453
undecimal (11) 667a30
duodecimal (12) 4341a0
tridecimal (13) 2b380c
tetradecimal (14) 1da02c
pentadecimal (15) 16070c

As an angle

1,064,712° = 2,957 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Chinese
一百零六萬四千七百一十二
Chinese (financial)
壹佰零陸萬肆仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٦٤٧١٢ Devanagari १०६४७१२ Bengali ১০৬৪৭১২ Tamil ௧௦௬௪௭௧௨ Thai ๑๐๖๔๗๑๒ Tibetan ༡༠༦༤༧༡༢ Khmer ១០៦៤៧១២ Lao ໑໐໖໔໗໑໒ Burmese ၁၀၆၄၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064712, here are decompositions:

  • 13 + 1064699 = 1064712
  • 23 + 1064689 = 1064712
  • 31 + 1064681 = 1064712
  • 41 + 1064671 = 1064712
  • 43 + 1064669 = 1064712
  • 59 + 1064653 = 1064712
  • 83 + 1064629 = 1064712
  • 163 + 1064549 = 1064712

Showing the first eight; more decompositions exist.

Hex color
#103F08
RGB(16, 63, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.63.8.

Address
0.16.63.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.63.8

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 6, 4712 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4712-06-01 (DMMYYYY (Euro, single-digit day))
  • 4712-10-06 (MMDYYYY (US, single-digit day))
  • 4712-06-10 (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 1,064,712 and was likely granted around 1913.

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°.