Live analysis

1,001,088

1,001,088 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.).

1,001,088 (one million one thousand eighty-eight) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 11 × 79. Its proper divisors sum to 2,181,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4680.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,001,076 1,001,077 1,001,078 1,001,079 1,001,080 1,001,081 1,001,082 1,001,083 1,001,084 1,001,085 1,001,086 1,001,087 1,001,088 1,001,089 1,001,090 1,001,091 1,001,092 1,001,093 1,001,094 1,001,095 1,001,096 1,001,097 1,001,098 1,001,099 1,001,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,801,001
Flips to (rotate 180°): 8,801,001
Square (n²): 1,002,177,183,744
Cube (n³): 1,003,267,552,519,913,472
Divisor count: 96
σ(n) — sum of divisors: 3,182,400
φ(n) — Euler's totient: 299,520
Sum of prime factors: 110

Primality

Prime factorization: 2 ⁷ × 3 ² × 11 × 79

Nearest primes: 1,001,087 (−1) · 1,001,089 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 24 · 32 · 33 · 36 · 44 · 48 · 64 · 66 · 72 · 79 · 88 · 96 · 99 · 128 · 132 · 144 · 158 · 176 · 192 · 198 · 237 · 264 · 288 · 316 · 352 · 384 · 396 · 474 · 528 · 576 · 632 · 704 · 711 · 792 · 869 · 948 · 1056 · 1152 · 1264 · 1408 · 1422 · 1584 · 1738 · 1896 · 2112 · 2528 · 2607 · 2844 · 3168 · 3476 · 3792 · 4224 · 5056 · 5214 · 5688 · 6336 · 6952 · 7584 · 7821 · 10112 · 10428 · 11376 · 12672 · 13904 · 15168 · 15642 · 20856 · 22752 · 27808 · 30336 · 31284 · 41712 · 45504 · 55616 · 62568 · 83424 · 91008 · 111232 · 125136 · 166848 · 250272 · 333696 · 500544 (half) · 1001088

Aliquot sum (sum of proper divisors): 2,181,312

Factor pairs (a × b = 1,001,088)

1 × 1001088

2 × 500544

3 × 333696

4 × 250272

6 × 166848

8 × 125136

9 × 111232

11 × 91008

12 × 83424

16 × 62568

18 × 55616

22 × 45504

24 × 41712

32 × 31284

33 × 30336

36 × 27808

44 × 22752

48 × 20856

64 × 15642

66 × 15168

72 × 13904

79 × 12672

88 × 11376

96 × 10428

99 × 10112

128 × 7821

132 × 7584

144 × 6952

158 × 6336

176 × 5688

192 × 5214

198 × 5056

237 × 4224

264 × 3792

288 × 3476

316 × 3168

352 × 2844

384 × 2607

396 × 2528

474 × 2112

528 × 1896

576 × 1738

632 × 1584

704 × 1422

711 × 1408

792 × 1264

869 × 1152

948 × 1056

First multiples

1,001,088 · 2,002,176 (double) · 3,003,264 · 4,004,352 · 5,005,440 · 6,006,528 · 7,007,616 · 8,008,704 · 9,009,792 · 10,010,880

Sums & aliquot sequence

As consecutive integers: 333,695 + 333,696 + 333,697 111,228 + 111,229 + … + 111,236 91,003 + 91,004 + … + 91,013 30,320 + 30,321 + … + 30,352

Aliquot sequence: 1,001,088 → 2,181,312 → 4,977,424 → 4,755,212 → 5,620,468 → 5,620,524 → 10,523,604 → 21,087,276 → 38,457,300 → 88,715,116 → 89,096,084 → 105,296,044 → 106,597,204 → 112,945,196 → 147,809,284 → 169,910,426 → 137,510,854 — unresolved within range

Continued fraction of √n

√1,001,088 = [1000; (1, 1, 5, 4, 1, 40, 31, 1, 2, 1, 4, 1, 4, 1, 2, 1, 31, 40, 1, 4, 5, 1, 1, 2000)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million one thousand eighty-eight
Ordinal: 1001088th
Binary: 11110100011010000000
Octal: 3643200
Hexadecimal: 0xF4680
Base64: D0aA
One's complement: 4,293,966,207 (32-bit)
Scientific notation: 1.001088 × 10⁶
As a duration: 1,001,088 s = 11 days, 14 hours, 4 minutes, 48 seconds

In other bases

ternary (3) 1212212020100

quaternary (4) 3310122000

quinary (5) 224013323

senary (6) 33242400

septenary (7) 11336424

nonary (9) 1785210

undecimal (11) 624150

duodecimal (12) 403400

tridecimal (13) 29087a

tetradecimal (14) 1c0b84

pentadecimal (15) 14b943

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零八十八
Chinese (financial): 壹佰萬壹仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠٠١٠٨٨ Devanagari १००१०८८ Bengali ১০০১০৮৮ Tamil ௧௦௦௧௦௮௮ Thai ๑๐๐๑๐๘๘ Tibetan ༡༠༠༡༠༨༨ Khmer ១០០១០៨៨ Lao ໑໐໐໑໐໘໘ Burmese ၁၀၀၁၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001088, here are decompositions:

7 + 1001081 = 1001088
19 + 1001069 = 1001088
47 + 1001041 = 1001088
61 + 1001027 = 1001088
71 + 1001017 = 1001088
89 + 1000999 = 1001088
107 + 1000981 = 1001088
157 + 1000931 = 1001088

Showing the first eight; more decompositions exist.

Hex color

#0F4680

RGB(15, 70, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.128.

Address: 0.15.70.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.128

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

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 1,001,088 and was likely granted around 1911.

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

Look up US1,001,088 on Google Patents ↗ Look up on USPTO ↗