Live analysis

1,051,024

1,051,024 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.).

1,051,024 (one million fifty-one thousand twenty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 31 × 163. Its proper divisors sum to 1,226,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100990.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,051,012 1,051,013 1,051,014 1,051,015 1,051,016 1,051,017 1,051,018 1,051,019 1,051,020 1,051,021 1,051,022 1,051,023 1,051,024 1,051,025 1,051,026 1,051,027 1,051,028 1,051,029 1,051,030 1,051,031 1,051,032 1,051,033 1,051,034 1,051,035 1,051,036

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 21 bits
Reversed: 4,201,501
Square (n²): 1,104,651,448,576
Cube (n³): 1,161,015,184,088,141,824
Divisor count: 40
σ(n) — sum of divisors: 2,277,632
φ(n) — Euler's totient: 466,560
Sum of prime factors: 215

Primality

Prime factorization: 2 ⁴ × 13 × 31 × 163

Nearest primes: 1,051,019 (−5) · 1,051,027 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 31 · 52 · 62 · 104 · 124 · 163 · 208 · 248 · 326 · 403 · 496 · 652 · 806 · 1304 · 1612 · 2119 · 2608 · 3224 · 4238 · 5053 · 6448 · 8476 · 10106 · 16952 · 20212 · 33904 · 40424 · 65689 · 80848 · 131378 · 262756 · 525512 (half) · 1051024

Aliquot sum (sum of proper divisors): 1,226,608

Factor pairs (a × b = 1,051,024)

1 × 1051024

2 × 525512

4 × 262756

8 × 131378

13 × 80848

16 × 65689

26 × 40424

31 × 33904

52 × 20212

62 × 16952

104 × 10106

124 × 8476

163 × 6448

208 × 5053

248 × 4238

326 × 3224

403 × 2608

496 × 2119

652 × 1612

806 × 1304

First multiples

1,051,024 · 2,102,048 (double) · 3,153,072 · 4,204,096 · 5,255,120 · 6,306,144 · 7,357,168 · 8,408,192 · 9,459,216 · 10,510,240

Sums & aliquot sequence

As consecutive integers: 80,842 + 80,843 + … + 80,854 33,889 + 33,890 + … + 33,919 32,829 + 32,830 + … + 32,860 6,367 + 6,368 + … + 6,529

Aliquot sequence: 1,051,024 → 1,226,608 → 1,227,600 → 3,569,712 → 5,953,488 → 9,926,448 → 20,357,328 → 33,932,848 → 37,425,680 → 52,401,904 → 52,402,896 → 143,140,144 → 184,045,264 → 259,926,320 → 368,700,112 → 435,748,400 → 644,938,384 — unresolved within range

Continued fraction of √n

√1,051,024 = [1025; (5, 7, 4, 2, 1, 2, 1, 1, 2, 3, 3, 1, 1, 1, 9, 3, 1, 3, 170, 1, 1, 2, 88, 1, …)]

Representations

In words: one million fifty-one thousand twenty-four
Ordinal: 1051024th
Binary: 100000000100110010000
Octal: 4004620
Hexadecimal: 0x100990
Base64: EAmQ
One's complement: 4,293,916,271 (32-bit)
Scientific notation: 1.051024 × 10⁶
As a duration: 1,051,024 s = 12 days, 3 hours, 57 minutes, 4 seconds

In other bases

ternary (3) 1222101201211

quaternary (4) 10000212100

quinary (5) 232113044

senary (6) 34305504

septenary (7) 11635132

nonary (9) 1871654

undecimal (11) 658717

duodecimal (12) 428294

tridecimal (13) 2aa510

tetradecimal (14) 1d5052

pentadecimal (15) 15b634

As an angle

1,051,024° = 2,919 × 360° + 184°

184° ≈ 3.211 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零五萬一千零二十四
Chinese (financial): 壹佰零伍萬壹仟零貳拾肆

In other modern scripts

Eastern Arabic ١٠٥١٠٢٤ Devanagari १०५१०२४ Bengali ১০৫১০২৪ Tamil ௧௦௫௧௦௨௪ Thai ๑๐๕๑๐๒๔ Tibetan ༡༠༥༡༠༢༤ Khmer ១០៥១០២៤ Lao ໑໐໕໑໐໒໔ Burmese ၁၀၅၁၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051024, here are decompositions:

5 + 1051019 = 1051024
17 + 1051007 = 1051024
47 + 1050977 = 1051024
137 + 1050887 = 1051024
173 + 1050851 = 1051024
251 + 1050773 = 1051024
281 + 1050743 = 1051024
311 + 1050713 = 1051024

Showing the first eight; more decompositions exist.

Hex color

#100990

RGB(16, 9, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.9.144.

Address: 0.16.9.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.9.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 1024 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1024-05-01 (DMMYYYY (Euro, single-digit day))
1024-10-05 (MMDYYYY (US, single-digit day))
1024-05-10 (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 1,051,024 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 US1,051,024 on Google Patents ↗ Look up on USPTO ↗