Live analysis

1,012,088

1,012,088 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.).

1,012,088 (one million twelve thousand eighty-eight) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 7 × 11 × 31 × 53. Its proper divisors sum to 1,476,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7178.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,012,076 1,012,077 1,012,078 1,012,079 1,012,080 1,012,081 1,012,082 1,012,083 1,012,084 1,012,085 1,012,086 1,012,087 1,012,088 1,012,089 1,012,090 1,012,091 1,012,092 1,012,093 1,012,094 1,012,095 1,012,096 1,012,097 1,012,098 1,012,099 1,012,100

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 8,802,101
Square (n²): 1,024,322,119,744
Cube (n³): 1,036,704,125,527,465,472
Divisor count: 64
σ(n) — sum of divisors: 2,488,320
φ(n) — Euler's totient: 374,400
Sum of prime factors: 108

Primality

Prime factorization: 2 ³ × 7 × 11 × 31 × 53

Nearest primes: 1,012,087 (−1) · 1,012,093 (+5)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 22 · 28 · 31 · 44 · 53 · 56 · 62 · 77 · 88 · 106 · 124 · 154 · 212 · 217 · 248 · 308 · 341 · 371 · 424 · 434 · 583 · 616 · 682 · 742 · 868 · 1166 · 1364 · 1484 · 1643 · 1736 · 2332 · 2387 · 2728 · 2968 · 3286 · 4081 · 4664 · 4774 · 6572 · 8162 · 9548 · 11501 · 13144 · 16324 · 18073 · 19096 · 23002 · 32648 · 36146 · 46004 · 72292 · 92008 · 126511 · 144584 · 253022 · 506044 (half) · 1012088

Aliquot sum (sum of proper divisors): 1,476,232

Factor pairs (a × b = 1,012,088)

1 × 1012088

2 × 506044

4 × 253022

7 × 144584

8 × 126511

11 × 92008

14 × 72292

22 × 46004

28 × 36146

31 × 32648

44 × 23002

53 × 19096

56 × 18073

62 × 16324

77 × 13144

88 × 11501

106 × 9548

124 × 8162

154 × 6572

212 × 4774

217 × 4664

248 × 4081

308 × 3286

341 × 2968

371 × 2728

424 × 2387

434 × 2332

583 × 1736

616 × 1643

682 × 1484

742 × 1364

868 × 1166

First multiples

1,012,088 · 2,024,176 (double) · 3,036,264 · 4,048,352 · 5,060,440 · 6,072,528 · 7,084,616 · 8,096,704 · 9,108,792 · 10,120,880

Sums & aliquot sequence

As consecutive integers: 144,581 + 144,582 + … + 144,587 92,003 + 92,004 + … + 92,013 63,248 + 63,249 + … + 63,263 32,633 + 32,634 + … + 32,663

Aliquot sequence: 1,012,088 → 1,476,232 → 1,478,648 → 1,293,832 → 1,132,118 → 696,730 → 633,722 → 316,864 → 312,040 → 416,960 → 576,688 → 772,432 → 789,968 → 759,412 → 569,566 → 284,786 → 174,862 — unresolved within range

Continued fraction of √n

√1,012,088 = [1006; (38, 1, 2, 3, 1, 11, 7, 2, 1, 17, 8, 17, 1, 2, 7, 11, 1, 3, 2, 1, 38, 2012)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand eighty-eight
Ordinal: 1012088th
Binary: 11110111000101111000
Octal: 3670570
Hexadecimal: 0xF7178
Base64: D3F4
One's complement: 4,293,955,207 (32-bit)
Scientific notation: 1.012088 × 10⁶
As a duration: 1,012,088 s = 11 days, 17 hours, 8 minutes, 8 seconds

In other bases

ternary (3) 1220102022202

quaternary (4) 3313011320

quinary (5) 224341323

senary (6) 33405332

septenary (7) 11413460

nonary (9) 1812282

undecimal (11) 631440

duodecimal (12) 409848

tridecimal (13) 29588c

tetradecimal (14) 1c4ba0

pentadecimal (15) 14ed28

As an angle

1,012,088° = 2,811 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千零八十八
Chinese (financial): 壹佰零壹萬貳仟零捌拾捌

In other modern scripts

Eastern Arabic ١٠١٢٠٨٨ Devanagari १०१२०८८ Bengali ১০১২০৮৮ Tamil ௧௦௧௨௦௮௮ Thai ๑๐๑๒๐๘๘ Tibetan ༡༠༡༢༠༨༨ Khmer ១០១២០៨៨ Lao ໑໐໑໒໐໘໘ Burmese ၁၀၁၂၀၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012088, here are decompositions:

79 + 1012009 = 1012088
109 + 1011979 = 1012088
127 + 1011961 = 1012088
151 + 1011937 = 1012088
199 + 1011889 = 1012088
271 + 1011817 = 1012088
421 + 1011667 = 1012088
439 + 1011649 = 1012088

Showing the first eight; more decompositions exist.

Hex color

#0F7178

RGB(15, 113, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.120.

Address: 0.15.113.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 2088 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2088-10-01 (MMDYYYY (US, single-digit day))
2088-01-10 (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 1,012,088 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 US1,012,088 on Google Patents ↗ Look up on USPTO ↗