Live analysis

1,024,002

1,024,002 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.).

1,024,002 (one million twenty-four thousand two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2 × 3⁵ × 7² × 43. Its proper divisors sum to 1,714,734, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA002.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,023,990 1,023,991 1,023,992 1,023,993 1,023,994 1,023,995 1,023,996 1,023,997 1,023,998 1,023,999 1,024,000 1,024,001 1,024,002 1,024,003 1,024,004 1,024,005 1,024,006 1,024,007 1,024,008 1,024,009 1,024,010 1,024,011 1,024,012 1,024,013 1,024,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,004,201
Square (n²): 1,048,580,096,004
Cube (n³): 1,073,748,115,468,288,008
Divisor count: 72
σ(n) — sum of divisors: 2,738,736
φ(n) — Euler's totient: 285,768
Sum of prime factors: 74

Primality

Prime factorization: 2 × 3 ⁵ × 7 ² × 43

Nearest primes: 1,023,991 (−11) · 1,024,021 (+19)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 43 · 49 · 54 · 63 · 81 · 86 · 98 · 126 · 129 · 147 · 162 · 189 · 243 · 258 · 294 · 301 · 378 · 387 · 441 · 486 · 567 · 602 · 774 · 882 · 903 · 1134 · 1161 · 1323 · 1701 · 1806 · 2107 · 2322 · 2646 · 2709 · 3402 · 3483 · 3969 · 4214 · 5418 · 6321 · 6966 · 7938 · 8127 · 10449 · 11907 · 12642 · 16254 · 18963 · 20898 · 23814 · 24381 · 37926 · 48762 · 56889 · 73143 · 113778 · 146286 · 170667 · 341334 · 512001 (half) · 1024002

Aliquot sum (sum of proper divisors): 1,714,734

Factor pairs (a × b = 1,024,002)

1 × 1024002

2 × 512001

3 × 341334

6 × 170667

7 × 146286

9 × 113778

14 × 73143

18 × 56889

21 × 48762

27 × 37926

42 × 24381

43 × 23814

49 × 20898

54 × 18963

63 × 16254

81 × 12642

86 × 11907

98 × 10449

126 × 8127

129 × 7938

147 × 6966

162 × 6321

189 × 5418

243 × 4214

258 × 3969

294 × 3483

301 × 3402

378 × 2709

387 × 2646

441 × 2322

486 × 2107

567 × 1806

602 × 1701

774 × 1323

882 × 1161

903 × 1134

First multiples

1,024,002 · 2,048,004 (double) · 3,072,006 · 4,096,008 · 5,120,010 · 6,144,012 · 7,168,014 · 8,192,016 · 9,216,018 · 10,240,020

Sums & aliquot sequence

As consecutive integers: 341,333 + 341,334 + 341,335 255,999 + 256,000 + 256,001 + 256,002 146,283 + 146,284 + … + 146,289 113,774 + 113,775 + … + 113,782

Aliquot sequence: 1,024,002 → 1,714,734 → 2,678,226 → 2,697,774 → 2,697,786 → 4,885,062 → 7,694,778 → 12,384,582 → 16,127,418 → 16,212,678 → 16,212,690 → 32,171,310 → 61,348,050 → 113,640,750 → 211,828,914 → 290,204,046 → 419,187,978 — unresolved within range

Continued fraction of √n

√1,024,002 = [1011; (1, 13, 3, 1, 19, 1, 8, 1, 2, 1, 2, 1, 2, 40, 1, 14, 1, 24, 20, 1, 1, 1, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand two
Ordinal: 1024002nd
Binary: 11111010000000000010
Octal: 3720002
Hexadecimal: 0xFA002
Base64: D6AC
One's complement: 4,293,943,293 (32-bit)
Scientific notation: 1.024002 × 10⁶
As a duration: 1,024,002 s = 11 days, 20 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 1221000200000

quaternary (4) 3322000002

quinary (5) 230232002

senary (6) 33540430

septenary (7) 11463300

nonary (9) 1830600

undecimal (11) 63a391

duodecimal (12) 414716

tridecimal (13) 29b125

tetradecimal (14) 1c9270

pentadecimal (15) 15361c

As an angle

1,024,002° = 2,844 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺
Chinese: 一百零二萬四千零二
Chinese (financial): 壹佰零貳萬肆仟零貳

In other modern scripts

Eastern Arabic ١٠٢٤٠٠٢ Devanagari १०२४००२ Bengali ১০২৪০০২ Tamil ௧௦௨௪௦௦௨ Thai ๑๐๒๔๐๐๒ Tibetan ༡༠༢༤༠༠༢ Khmer ១០២៤០០២ Lao ໑໐໒໔໐໐໒ Burmese ၁၀၂၄၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024002, here are decompositions:

11 + 1023991 = 1024002
29 + 1023973 = 1024002
53 + 1023949 = 1024002
59 + 1023943 = 1024002
61 + 1023941 = 1024002
131 + 1023871 = 1024002
151 + 1023851 = 1024002
163 + 1023839 = 1024002

Showing the first eight; more decompositions exist.

Hex color

#0FA002

RGB(15, 160, 2)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.2.

Address: 0.15.160.2
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.2

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 4002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4002-02-01 (DMMYYYY (Euro, single-digit day))
4002-10-02 (MMDYYYY (US, single-digit day))
4002-02-10 (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 1,024,002 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,024,002 on Google Patents ↗ Look up on USPTO ↗