Live analysis

1,024,012

1,024,012 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.).

1,024,012 (one million twenty-four thousand twelve) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 11 × 17 × 37². Its proper divisors sum to 1,103,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA00C.

Abundant Number Arithmetic Number Cube-Free Evil Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 1,024,015 1,024,016 1,024,017 1,024,018 1,024,019 1,024,020 1,024,021 1,024,022 1,024,023 1,024,024

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,104,201
Square (n²): 1,048,600,576,144
Cube (n³): 1,073,779,573,178,369,728
Divisor count: 36
σ(n) — sum of divisors: 2,127,384
φ(n) — Euler's totient: 426,240
Sum of prime factors: 106

Primality

Prime factorization: 2 ² × 11 × 17 × 37 ²

Nearest primes: 1,023,991 (−21) · 1,024,021 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 11 · 17 · 22 · 34 · 37 · 44 · 68 · 74 · 148 · 187 · 374 · 407 · 629 · 748 · 814 · 1258 · 1369 · 1628 · 2516 · 2738 · 5476 · 6919 · 13838 · 15059 · 23273 · 27676 · 30118 · 46546 · 60236 · 93092 · 256003 · 512006 (half) · 1024012

Aliquot sum (sum of proper divisors): 1,103,372

Factor pairs (a × b = 1,024,012)

1 × 1024012

2 × 512006

4 × 256003

11 × 93092

17 × 60236

22 × 46546

34 × 30118

37 × 27676

44 × 23273

68 × 15059

74 × 13838

148 × 6919

187 × 5476

374 × 2738

407 × 2516

629 × 1628

748 × 1369

814 × 1258

First multiples

1,024,012 · 2,048,024 (double) · 3,072,036 · 4,096,048 · 5,120,060 · 6,144,072 · 7,168,084 · 8,192,096 · 9,216,108 · 10,240,120

Sums & aliquot sequence

As consecutive integers: 127,998 + 127,999 + … + 128,005 93,087 + 93,088 + … + 93,097 60,228 + 60,229 + … + 60,244 27,658 + 27,659 + … + 27,694

Aliquot sequence: 1,024,012 → 1,103,372 → 868,948 → 666,432 → 1,413,828 → 2,819,772 → 4,586,396 → 3,912,052 → 3,046,704 → 4,824,072 → 9,431,208 → 17,352,792 → 32,160,408 → 61,704,552 → 138,282,648 → 272,013,672 → 506,939,928 — unresolved within range

Continued fraction of √n

√1,024,012 = [1011; (1, 14, 3, 224, 1, 1, 4, 1, 2, 12, 1, 24, 16, 2, 2, 2, 2, 3, 2, 2, 2, 1, 15, 1, …)]

Representations

In words: one million twenty-four thousand twelve
Ordinal: 1024012th
Binary: 11111010000000001100
Octal: 3720014
Hexadecimal: 0xFA00C
Base64: D6AM
One's complement: 4,293,943,283 (32-bit)
Scientific notation: 1.024012 × 10⁶
As a duration: 1,024,012 s = 11 days, 20 hours, 26 minutes, 52 seconds

In other bases

ternary (3) 1221000200101

quaternary (4) 3322000030

quinary (5) 230232022

senary (6) 33540444

septenary (7) 11463313

nonary (9) 1830611

undecimal (11) 63a3a0

duodecimal (12) 414724

tridecimal (13) 29b132

tetradecimal (14) 1c927a

pentadecimal (15) 153627

As an angle

1,024,012° = 2,844 × 360° + 172°

172° ≈ 3.002 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Chinese: 一百零二萬四千零一十二
Chinese (financial): 壹佰零貳萬肆仟零壹拾貳

In other modern scripts

Eastern Arabic ١٠٢٤٠١٢ Devanagari १०२४०१२ Bengali ১০২৪০১২ Tamil ௧௦௨௪௦௧௨ Thai ๑๐๒๔๐๑๒ Tibetan ༡༠༢༤༠༡༢ Khmer ១០២៤០១២ Lao ໑໐໒໔໐໑໒ Burmese ၁၀၂၄၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024012, here are decompositions:

71 + 1023941 = 1024012
173 + 1023839 = 1024012
179 + 1023833 = 1024012
191 + 1023821 = 1024012
281 + 1023731 = 1024012
293 + 1023719 = 1024012
359 + 1023653 = 1024012
461 + 1023551 = 1024012

Showing the first eight; more decompositions exist.

Hex color

#0FA00C

RGB(15, 160, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.12.

Address: 0.15.160.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.160.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 4012 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4012-02-01 (DMMYYYY (Euro, single-digit day))
4012-10-02 (MMDYYYY (US, single-digit day))
4012-02-10 (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 1,024,012 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 US1,024,012 on Google Patents ↗ Look up on USPTO ↗