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1,016,712

1,016,712 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.).

1,016,712 (one million sixteen thousand seven hundred twelve) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3⁵ × 523. Its proper divisors sum to 1,844,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8388.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,176,101
Square (n²)
1,033,703,290,944
Cube (n³)
1,050,978,540,342,256,128
Divisor count
48
σ(n) — sum of divisors
2,861,040
φ(n) — Euler's totient
338,256
Sum of prime factors
544

Primality

Prime factorization: 2 3 × 3 5 × 523

Nearest primes: 1,016,689 (−23) · 1,016,731 (+19)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 81 · 108 · 162 · 216 · 243 · 324 · 486 · 523 · 648 · 972 · 1046 · 1569 · 1944 · 2092 · 3138 · 4184 · 4707 · 6276 · 9414 · 12552 · 14121 · 18828 · 28242 · 37656 · 42363 · 56484 · 84726 · 112968 · 127089 · 169452 · 254178 · 338904 · 508356 (half) · 1016712
Aliquot sum (sum of proper divisors): 1,844,328
Factor pairs (a × b = 1,016,712)
1 × 1016712
2 × 508356
3 × 338904
4 × 254178
6 × 169452
8 × 127089
9 × 112968
12 × 84726
18 × 56484
24 × 42363
27 × 37656
36 × 28242
54 × 18828
72 × 14121
81 × 12552
108 × 9414
162 × 6276
216 × 4707
243 × 4184
324 × 3138
486 × 2092
523 × 1944
648 × 1569
972 × 1046
First multiples
1,016,712 · 2,033,424 (double) · 3,050,136 · 4,066,848 · 5,083,560 · 6,100,272 · 7,116,984 · 8,133,696 · 9,150,408 · 10,167,120

Sums & aliquot sequence

As consecutive integers: 338,903 + 338,904 + 338,905 112,964 + 112,965 + … + 112,972 63,537 + 63,538 + … + 63,552 37,643 + 37,644 + … + 37,669
Aliquot sequence: 1,016,712 1,844,328 2,766,552 4,515,048 8,027,352 13,713,588 25,904,172 43,173,844 43,173,900 130,486,860 321,871,956 540,352,428 1,036,750,932 1,961,444,268 3,850,244,692 3,850,244,748 7,272,685,252 — unresolved within range

Continued fraction of √n

√1,016,712 = [1008; (3, 8, 1, 24, 252, 24, 1, 8, 3, 2016)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one million sixteen thousand seven hundred twelve
Ordinal
1016712th
Binary
11111000001110001000
Octal
3701610
Hexadecimal
0xF8388
Base64
D4OI
One's complement
4,293,950,583 (32-bit)
Scientific notation
1.016712 × 10⁶
As a duration
1,016,712 s = 11 days, 18 hours, 25 minutes, 12 seconds
In other bases
ternary (3) 1220122200000
quaternary (4) 3320032020
quinary (5) 230013322
senary (6) 33443000
septenary (7) 11433114
nonary (9) 1818600
undecimal (11) 634964
duodecimal (12) 410460
tridecimal (13) 297a08
tetradecimal (14) 1c6744
pentadecimal (15) 1513ac

As an angle

1,016,712° = 2,824 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Chinese
一百零一萬六千七百一十二
Chinese (financial)
壹佰零壹萬陸仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٠١٦٧١٢ Devanagari १०१६७१२ Bengali ১০১৬৭১২ Tamil ௧௦௧௬௭௧௨ Thai ๑๐๑๖๗๑๒ Tibetan ༡༠༡༦༧༡༢ Khmer ១០១៦៧១២ Lao ໑໐໑໖໗໑໒ Burmese ၁၀၁၆၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016712, here are decompositions:

  • 23 + 1016689 = 1016712
  • 31 + 1016681 = 1016712
  • 71 + 1016641 = 1016712
  • 101 + 1016611 = 1016712
  • 113 + 1016599 = 1016712
  • 131 + 1016581 = 1016712
  • 139 + 1016573 = 1016712
  • 223 + 1016489 = 1016712

Showing the first eight; more decompositions exist.

Hex color
#0F8388
RGB(15, 131, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.131.136.

Address
0.15.131.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.131.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 6712 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6712-10-01 (MMDYYYY (US, single-digit day))
  • 6712-01-10 (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 1,016,712 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°.