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1,031,616

1,031,616 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.).

1,031,616 (one million thirty-one thousand six hundred sixteen) is an even 7-digit number. It is a composite number with 70 divisors, and factors as 2⁶ × 3⁴ × 199. Its proper divisors sum to 2,041,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBDC0.

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
6,161,301
Square (n²)
1,064,231,571,456
Cube (n³)
1,097,878,316,819,152,896
Divisor count
70
σ(n) — sum of divisors
3,073,400
φ(n) — Euler's totient
342,144
Sum of prime factors
223

Primality

Prime factorization: 2 6 × 3 4 × 199

Nearest primes: 1,031,609 (−7) · 1,031,623 (+7)

Divisors & multiples

All divisors (70)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 81 · 96 · 108 · 144 · 162 · 192 · 199 · 216 · 288 · 324 · 398 · 432 · 576 · 597 · 648 · 796 · 864 · 1194 · 1296 · 1592 · 1728 · 1791 · 2388 · 2592 · 3184 · 3582 · 4776 · 5184 · 5373 · 6368 · 7164 · 9552 · 10746 · 12736 · 14328 · 16119 · 19104 · 21492 · 28656 · 32238 · 38208 · 42984 · 57312 · 64476 · 85968 · 114624 · 128952 · 171936 · 257904 · 343872 · 515808 (half) · 1031616
Aliquot sum (sum of proper divisors): 2,041,784
Factor pairs (a × b = 1,031,616)
1 × 1031616
2 × 515808
3 × 343872
4 × 257904
6 × 171936
8 × 128952
9 × 114624
12 × 85968
16 × 64476
18 × 57312
24 × 42984
27 × 38208
32 × 32238
36 × 28656
48 × 21492
54 × 19104
64 × 16119
72 × 14328
81 × 12736
96 × 10746
108 × 9552
144 × 7164
162 × 6368
192 × 5373
199 × 5184
216 × 4776
288 × 3582
324 × 3184
398 × 2592
432 × 2388
576 × 1791
597 × 1728
648 × 1592
796 × 1296
864 × 1194
First multiples
1,031,616 · 2,063,232 (double) · 3,094,848 · 4,126,464 · 5,158,080 · 6,189,696 · 7,221,312 · 8,252,928 · 9,284,544 · 10,316,160

Sums & aliquot sequence

As consecutive integers: 343,871 + 343,872 + 343,873 114,620 + 114,621 + … + 114,628 38,195 + 38,196 + … + 38,221 12,696 + 12,697 + … + 12,776
Aliquot sequence: 1,031,616 2,041,784 1,910,536 1,718,264 1,503,496 1,356,344 1,418,176 1,396,144 1,349,216 1,549,288 1,579,292 1,705,276 1,278,964 1,007,180 1,107,940 1,295,132 1,047,796 — unresolved within range

Continued fraction of √n

√1,031,616 = [1015; (1, 2, 5, 1, 2, 1, 2, 2, 3, 1, 1, 1, 1, 1, 1, 19, 1, 2, 3, 2, 1, 6, 1, 30, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one million thirty-one thousand six hundred sixteen
Ordinal
1031616th
Binary
11111011110111000000
Octal
3736700
Hexadecimal
0xFBDC0
Base64
D73A
One's complement
4,293,935,679 (32-bit)
Scientific notation
1.031616 × 10⁶
As a duration
1,031,616 s = 11 days, 22 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 1221102010000
quaternary (4) 3323313000
quinary (5) 231002431
senary (6) 34040000
septenary (7) 11524425
nonary (9) 1842100
undecimal (11) 645083
duodecimal (12) 419000
tridecimal (13) 2a1731
tetradecimal (14) 1cbd4c
pentadecimal (15) 1559e6

As an angle

1,031,616° = 2,865 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千六百一十六
Chinese (financial)
壹佰零參萬壹仟陸佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٣١٦١٦ Devanagari १०३१६१६ Bengali ১০৩১৬১৬ Tamil ௧௦௩௧௬௧௬ Thai ๑๐๓๑๖๑๖ Tibetan ༡༠༣༡༦༡༦ Khmer ១០៣១៦១៦ Lao ໑໐໓໑໖໑໖ Burmese ၁၀၃၁၆၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031616, here are decompositions:

  • 7 + 1031609 = 1031616
  • 23 + 1031593 = 1031616
  • 67 + 1031549 = 1031616
  • 83 + 1031533 = 1031616
  • 109 + 1031507 = 1031616
  • 127 + 1031489 = 1031616
  • 137 + 1031479 = 1031616
  • 139 + 1031477 = 1031616

Showing the first eight; more decompositions exist.

Hex color
#0FBDC0
RGB(15, 189, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.189.192.

Address
0.15.189.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.189.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 3, 1616 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1616-03-01 (DMMYYYY (Euro, single-digit day))
  • 1616-10-03 (MMDYYYY (US, single-digit day))
  • 1616-03-10 (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 1,031,616 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°.