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1,031,264

1,031,264 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.).

1,031,264 (one million thirty-one thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 13 × 37 × 67. Its proper divisors sum to 1,247,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFBC60.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
4,621,301
Square (n²)
1,063,505,437,696
Cube (n³)
1,096,754,871,700,127,744
Divisor count
48
σ(n) — sum of divisors
2,279,088
φ(n) — Euler's totient
456,192
Sum of prime factors
127

Primality

Prime factorization: 2 5 × 13 × 37 × 67

Nearest primes: 1,031,231 (−33) · 1,031,267 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 37 · 52 · 67 · 74 · 104 · 134 · 148 · 208 · 268 · 296 · 416 · 481 · 536 · 592 · 871 · 962 · 1072 · 1184 · 1742 · 1924 · 2144 · 2479 · 3484 · 3848 · 4958 · 6968 · 7696 · 9916 · 13936 · 15392 · 19832 · 27872 · 32227 · 39664 · 64454 · 79328 · 128908 · 257816 · 515632 (half) · 1031264
Aliquot sum (sum of proper divisors): 1,247,824
Factor pairs (a × b = 1,031,264)
1 × 1031264
2 × 515632
4 × 257816
8 × 128908
13 × 79328
16 × 64454
26 × 39664
32 × 32227
37 × 27872
52 × 19832
67 × 15392
74 × 13936
104 × 9916
134 × 7696
148 × 6968
208 × 4958
268 × 3848
296 × 3484
416 × 2479
481 × 2144
536 × 1924
592 × 1742
871 × 1184
962 × 1072
First multiples
1,031,264 · 2,062,528 (double) · 3,093,792 · 4,125,056 · 5,156,320 · 6,187,584 · 7,218,848 · 8,250,112 · 9,281,376 · 10,312,640

Sums & aliquot sequence

As consecutive integers: 79,322 + 79,323 + … + 79,334 27,854 + 27,855 + … + 27,890 16,082 + 16,083 + … + 16,145 15,359 + 15,360 + … + 15,425
Aliquot sequence: 1,031,264 1,247,824 1,189,520 1,576,300 2,157,836 1,646,524 1,635,524 1,486,924 1,127,324 1,024,924 789,476 592,114 302,954 151,480 238,760 314,200 416,780 — unresolved within range

Continued fraction of √n

√1,031,264 = [1015; (1, 1, 20, 1, 7, 3, 1, 2, 2, 30, 1, 4, 1, 1, 1, 12, 21, 3, 3, 80, 1, 15, 1, 3, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one million thirty-one thousand two hundred sixty-four
Ordinal
1031264th
Binary
11111011110001100000
Octal
3736140
Hexadecimal
0xFBC60
Base64
D7xg
One's complement
4,293,936,031 (32-bit)
Scientific notation
1.031264 × 10⁶
As a duration
1,031,264 s = 11 days, 22 hours, 27 minutes, 44 seconds
In other bases
ternary (3) 1221101121222
quaternary (4) 3323301200
quinary (5) 231000024
senary (6) 34034212
septenary (7) 11523413
nonary (9) 1841558
undecimal (11) 644893
duodecimal (12) 418968
tridecimal (13) 2a1520
tetradecimal (14) 1cbb7a
pentadecimal (15) 15585e

As an angle

1,031,264° = 2,864 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零三萬一千二百六十四
Chinese (financial)
壹佰零參萬壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٣١٢٦٤ Devanagari १०३१२६४ Bengali ১০৩১২৬৪ Tamil ௧௦௩௧௨௬௪ Thai ๑๐๓๑๒๖๔ Tibetan ༡༠༣༡༢༦༤ Khmer ១០៣១២៦៤ Lao ໑໐໓໑໒໖໔ Burmese ၁၀၃၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1031264, here are decompositions:

  • 103 + 1031161 = 1031264
  • 127 + 1031137 = 1031264
  • 211 + 1031053 = 1031264
  • 271 + 1030993 = 1031264
  • 277 + 1030987 = 1031264
  • 307 + 1030957 = 1031264
  • 313 + 1030951 = 1031264
  • 331 + 1030933 = 1031264

Showing the first eight; more decompositions exist.

Hex color
#0FBC60
RGB(15, 188, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.188.96.

Address
0.15.188.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.188.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 3, 1264 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1264-03-01 (DMMYYYY (Euro, single-digit day))
  • 1264-10-03 (MMDYYYY (US, single-digit day))
  • 1264-03-10 (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 1,031,264 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°.