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1,022,072

1,022,072 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.).

1,022,072 (one million twenty-two thousand seventy-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 251 × 509. Written other ways, in hexadecimal, 0xF9878.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
2,702,201
Recamán's sequence
a(372,183) = 1,022,072
Square (n²)
1,044,631,173,184
Cube (n³)
1,067,688,272,438,517,248
Divisor count
16
σ(n) — sum of divisors
1,927,800
φ(n) — Euler's totient
508,000
Sum of prime factors
766

Primality

Prime factorization: 2 3 × 251 × 509

Nearest primes: 1,022,071 (−1) · 1,022,083 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 251 · 502 · 509 · 1004 · 1018 · 2008 · 2036 · 4072 · 127759 · 255518 · 511036 (half) · 1022072
Aliquot sum (sum of proper divisors): 905,728
Factor pairs (a × b = 1,022,072)
1 × 1022072
2 × 511036
4 × 255518
8 × 127759
251 × 4072
502 × 2036
509 × 2008
1004 × 1018
First multiples
1,022,072 · 2,044,144 (double) · 3,066,216 · 4,088,288 · 5,110,360 · 6,132,432 · 7,154,504 · 8,176,576 · 9,198,648 · 10,220,720

Sums & aliquot sequence

As consecutive integers: 63,872 + 63,873 + … + 63,887 3,947 + 3,948 + … + 4,197 1,754 + 1,755 + … + 2,262
Aliquot sequence: 1,022,072 905,728 997,052 1,033,060 1,515,164 1,575,364 1,575,420 4,144,644 7,829,500 11,721,668 11,721,724 11,721,780 30,795,660 78,713,460 196,470,540 488,781,300 1,127,462,476 — unresolved within range

Continued fraction of √n

√1,022,072 = [1010; (1, 40, 3, 1, 3, 2, 7, 1, 2, 1, 11, 2, 1, 2, 1, 4, 1, 4, 1, 3, 2, 5, 8, 1, …)]

Representations

In words
one million twenty-two thousand seventy-two
Ordinal
1022072nd
Binary
11111001100001111000
Octal
3714170
Hexadecimal
0xF9878
Base64
D5h4
One's complement
4,293,945,223 (32-bit)
Scientific notation
1.022072 × 10⁶
As a duration
1,022,072 s = 11 days, 19 hours, 54 minutes, 32 seconds
In other bases
ternary (3) 1220221000112
quaternary (4) 3321201320
quinary (5) 230201242
senary (6) 33523452
septenary (7) 11454542
nonary (9) 1827015
undecimal (11) 638997
duodecimal (12) 413588
tridecimal (13) 29a29c
tetradecimal (14) 1c8692
pentadecimal (15) 152c82

As an angle

1,022,072° = 2,839 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬二千零七十二
Chinese (financial)
壹佰零貳萬貳仟零柒拾貳
In other modern scripts
Eastern Arabic ١٠٢٢٠٧٢ Devanagari १०२२०७२ Bengali ১০২২০৭২ Tamil ௧௦௨௨௦௭௨ Thai ๑๐๒๒๐๗๒ Tibetan ༡༠༢༢༠༧༢ Khmer ១០២២០៧២ Lao ໑໐໒໒໐໗໒ Burmese ၁၀၂၂၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1022072, here are decompositions:

  • 13 + 1022059 = 1022072
  • 19 + 1022053 = 1022072
  • 61 + 1022011 = 1022072
  • 109 + 1021963 = 1022072
  • 193 + 1021879 = 1022072
  • 211 + 1021861 = 1022072
  • 223 + 1021849 = 1022072
  • 241 + 1021831 = 1022072

Showing the first eight; more decompositions exist.

Hex color
#0F9878
RGB(15, 152, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.152.120.

Address
0.15.152.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.152.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 2072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2072-02-01 (DMMYYYY (Euro, single-digit day))
  • 2072-10-02 (MMDYYYY (US, single-digit day))
  • 2072-02-10 (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 1,022,072 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°.