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1,051,002

1,051,002 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.).

1,051,002 (one million fifty-one thousand two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 19,463. Its proper divisors sum to 1,284,678, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x10097A.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
2,001,501
Square (n²)
1,104,605,204,004
Cube (n³)
1,160,942,278,618,612,008
Divisor count
16
σ(n) — sum of divisors
2,335,680
φ(n) — Euler's totient
350,316
Sum of prime factors
19,474

Primality

Prime factorization: 2 × 3 3 × 19463

Nearest primes: 1,050,997 (−5) · 1,051,003 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 19463 · 38926 · 58389 · 116778 · 175167 · 350334 · 525501 (half) · 1051002
Aliquot sum (sum of proper divisors): 1,284,678
Factor pairs (a × b = 1,051,002)
1 × 1051002
2 × 525501
3 × 350334
6 × 175167
9 × 116778
18 × 58389
27 × 38926
54 × 19463
First multiples
1,051,002 · 2,102,004 (double) · 3,153,006 · 4,204,008 · 5,255,010 · 6,306,012 · 7,357,014 · 8,408,016 · 9,459,018 · 10,510,020

Sums & aliquot sequence

As consecutive integers: 350,333 + 350,334 + 350,335 262,749 + 262,750 + 262,751 + 262,752 116,774 + 116,775 + … + 116,782 87,578 + 87,579 + … + 87,589
Aliquot sequence: 1,051,002 1,284,678 1,523,322 1,777,248 4,255,632 7,960,848 18,227,952 32,785,400 43,441,120 65,232,368 65,514,472 57,325,178 28,662,592 36,954,752 37,407,328 49,490,336 61,863,424 — unresolved within range

Continued fraction of √n

√1,051,002 = [1025; (5, 2, 3, 1, 1, 5, 2, 2, 2, 2, 1, 5, 49, 1, 5, 65, 1, 36, 1, 65, 5, 1, 49, 5, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand two
Ordinal
1051002nd
Binary
100000000100101111010
Octal
4004572
Hexadecimal
0x10097A
Base64
EAl6
One's complement
4,293,916,293 (32-bit)
Scientific notation
1.051002 × 10⁶
As a duration
1,051,002 s = 12 days, 3 hours, 56 minutes, 42 seconds
In other bases
ternary (3) 1222101201000
quaternary (4) 10000211322
quinary (5) 232113002
senary (6) 34305430
septenary (7) 11635101
nonary (9) 1871630
undecimal (11) 6586a7
duodecimal (12) 428276
tridecimal (13) 2aa4c4
tetradecimal (14) 1d5038
pentadecimal (15) 15b61c

As an angle

1,051,002° = 2,919 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓏺𓏺
Chinese
一百零五萬一千零二
Chinese (financial)
壹佰零伍萬壹仟零貳
In other modern scripts
Eastern Arabic ١٠٥١٠٠٢ Devanagari १०५१००२ Bengali ১০৫১০০২ Tamil ௧௦௫௧௦௦௨ Thai ๑๐๕๑๐๐๒ Tibetan ༡༠༥༡༠༠༢ Khmer ១០៥១០០២ Lao ໑໐໕໑໐໐໒ Burmese ၁၀၅၁၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051002, here are decompositions:

  • 5 + 1050997 = 1051002
  • 41 + 1050961 = 1051002
  • 53 + 1050949 = 1051002
  • 89 + 1050913 = 1051002
  • 101 + 1050901 = 1051002
  • 103 + 1050899 = 1051002
  • 149 + 1050853 = 1051002
  • 151 + 1050851 = 1051002

Showing the first eight; more decompositions exist.

Hex color
#10097A
RGB(16, 9, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.122.

Address
0.16.9.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.9.122

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 1002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1002-05-01 (DMMYYYY (Euro, single-digit day))
  • 1002-10-05 (MMDYYYY (US, single-digit day))
  • 1002-05-10 (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 1,051,002 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°.