Live analysis

1,024,088

1,024,088 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.).

1,024,088 (one million twenty-four thousand eighty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 43 × 229. Its proper divisors sum to 1,101,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA058.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,024,076 1,024,077 1,024,078 1,024,079 1,024,080 1,024,081 1,024,082 1,024,083 1,024,084 1,024,085 1,024,086 1,024,087 1,024,088 1,024,089 1,024,090 1,024,091 1,024,092 1,024,093 1,024,094 1,024,095 1,024,096 1,024,097 1,024,098 1,024,099 1,024,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,804,201
Square (n²): 1,048,756,231,744
Cube (n³): 1,074,018,671,854,249,472
Divisor count: 32
σ(n) — sum of divisors: 2,125,200
φ(n) — Euler's totient: 459,648
Sum of prime factors: 291

Primality

Prime factorization: 2 ³ × 13 × 43 × 229

Nearest primes: 1,024,087 (−1) · 1,024,091 (+3)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 26 · 43 · 52 · 86 · 104 · 172 · 229 · 344 · 458 · 559 · 916 · 1118 · 1832 · 2236 · 2977 · 4472 · 5954 · 9847 · 11908 · 19694 · 23816 · 39388 · 78776 · 128011 · 256022 · 512044 (half) · 1024088

Aliquot sum (sum of proper divisors): 1,101,112

Factor pairs (a × b = 1,024,088)

1 × 1024088

2 × 512044

4 × 256022

8 × 128011

13 × 78776

26 × 39388

43 × 23816

52 × 19694

86 × 11908

104 × 9847

172 × 5954

229 × 4472

344 × 2977

458 × 2236

559 × 1832

916 × 1118

First multiples

1,024,088 · 2,048,176 (double) · 3,072,264 · 4,096,352 · 5,120,440 · 6,144,528 · 7,168,616 · 8,192,704 · 9,216,792 · 10,240,880

Sums & aliquot sequence

As consecutive integers: 78,770 + 78,771 + … + 78,782 63,998 + 63,999 + … + 64,013 23,795 + 23,796 + … + 23,837 4,820 + 4,821 + … + 5,027

Aliquot sequence: 1,024,088 → 1,101,112 → 963,488 → 933,442 → 480,890 → 430,630 → 344,522 → 202,714 → 105,446 → 67,138 → 33,572 → 40,348 → 48,356 → 57,820 → 85,820 → 120,484 → 139,804 — unresolved within range

Continued fraction of √n

√1,024,088 = [1011; (1, 35, 7, 41, 6, 6, 1, 5, 6, 1, 7, 2, 3, 3, 3, 1, 2, 1, 1, 3, 4, 118, 1, 4, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million twenty-four thousand eighty-eight
Ordinal: 1024088th
Binary: 11111010000001011000
Octal: 3720130
Hexadecimal: 0xFA058
Base64: D6BY
One's complement: 4,293,943,207 (32-bit)
Scientific notation: 1.024088 × 10⁶
As a duration: 1,024,088 s = 11 days, 20 hours, 28 minutes, 8 seconds

In other bases

ternary (3) 1221000210012

quaternary (4) 3322001120

quinary (5) 230232323

senary (6) 33541052

septenary (7) 11463452

nonary (9) 1830705

undecimal (11) 63a45a

duodecimal (12) 414788

tridecimal (13) 29b190

tetradecimal (14) 1c92d2

pentadecimal (15) 153678

As an angle

1,024,088° = 2,844 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬四千零八十八
Chinese (financial): 壹佰零貳萬肆仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠٢٤٠٨٨ Devanagari १०२४०८८ Bengali ১০২৪০৮৮ Tamil ௧௦௨௪௦௮௮ Thai ๑๐๒๔๐๘๘ Tibetan ༡༠༢༤༠༨༨ Khmer ១០២៤០៨៨ Lao ໑໐໒໔໐໘໘ Burmese ၁၀၂၄၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024088, here are decompositions:

67 + 1024021 = 1024088
97 + 1023991 = 1024088
139 + 1023949 = 1024088
337 + 1023751 = 1024088
367 + 1023721 = 1024088
487 + 1023601 = 1024088
547 + 1023541 = 1024088
601 + 1023487 = 1024088

Showing the first eight; more decompositions exist.

Hex color

#0FA058

RGB(15, 160, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.88.

Address: 0.15.160.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 4088 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4088-02-01 (DMMYYYY (Euro, single-digit day))
4088-10-02 (MMDYYYY (US, single-digit day))
4088-02-10 (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 1,024,088 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 US1,024,088 on Google Patents ↗ Look up on USPTO ↗