Live analysis

1,012,428

1,012,428 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.).

1,012,428 (one million twelve thousand four hundred twenty-eight) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 28,123. Its proper divisors sum to 1,546,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF72CC.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,012,416 1,012,417 1,012,418 1,012,419 1,012,420 1,012,421 1,012,422 1,012,423 1,012,424 1,012,425 1,012,426 1,012,427 1,012,428 1,012,429 1,012,430 1,012,431 1,012,432 1,012,433 1,012,434 1,012,435 1,012,436 1,012,437 1,012,438 1,012,439 1,012,440

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,242,101
Square (n²): 1,025,010,455,184
Cube (n³): 1,037,749,285,121,026,752
Divisor count: 18
σ(n) — sum of divisors: 2,559,284
φ(n) — Euler's totient: 337,464
Sum of prime factors: 28,133

Primality

Prime factorization: 2 ² × 3 ² × 28123

Nearest primes: 1,012,423 (−5) · 1,012,433 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 28123 · 56246 · 84369 · 112492 · 168738 · 253107 · 337476 · 506214 (half) · 1012428

Aliquot sum (sum of proper divisors): 1,546,856

Factor pairs (a × b = 1,012,428)

1 × 1012428

2 × 506214

3 × 337476

4 × 253107

6 × 168738

9 × 112492

12 × 84369

18 × 56246

36 × 28123

First multiples

1,012,428 · 2,024,856 (double) · 3,037,284 · 4,049,712 · 5,062,140 · 6,074,568 · 7,086,996 · 8,099,424 · 9,111,852 · 10,124,280

Sums & aliquot sequence

As consecutive integers: 337,475 + 337,476 + 337,477 126,550 + 126,551 + … + 126,557 112,488 + 112,489 + … + 112,496 42,173 + 42,174 + … + 42,196

Aliquot sequence: 1,012,428 → 1,546,856 → 1,353,514 → 733,532 → 550,156 → 425,364 → 567,180 → 1,241,172 → 2,034,828 → 3,327,732 → 5,451,948 → 9,224,532 → 15,279,948 → 24,335,012 → 23,523,484 → 17,871,324 → 26,507,556 — unresolved within range

Continued fraction of √n

√1,012,428 = [1006; (5, 7, 1, 1, 23, 1, 2, 2, 18, 4, 1, 6, 2, 6, 4, 1, 1, 4, 1, 3, 1, 24, 19, 3, …)]

Representations

In words: one million twelve thousand four hundred twenty-eight
Ordinal: 1012428th
Binary: 11110111001011001100
Octal: 3671314
Hexadecimal: 0xF72CC
Base64: D3LM
One's complement: 4,293,954,867 (32-bit)
Scientific notation: 1.012428 × 10⁶
As a duration: 1,012,428 s = 11 days, 17 hours, 13 minutes, 48 seconds

In other bases

ternary (3) 1220102210100

quaternary (4) 3313023030

quinary (5) 224344203

senary (6) 33411100

septenary (7) 11414454

nonary (9) 1812710

undecimal (11) 63171a

duodecimal (12) 409a90

tridecimal (13) 295a91

tetradecimal (14) 1c4d64

pentadecimal (15) 14eea3

As an angle

1,012,428° = 2,812 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千四百二十八
Chinese (financial): 壹佰零壹萬貳仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٠١٢٤٢٨ Devanagari १०१२४२८ Bengali ১০১২৪২৮ Tamil ௧௦௧௨௪௨௮ Thai ๑๐๑๒๔๒๘ Tibetan ༡༠༡༢༤༢༨ Khmer ១០១២៤២៨ Lao ໑໐໑໒໔໒໘ Burmese ၁၀၁၂၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012428, here are decompositions:

5 + 1012423 = 1012428
7 + 1012421 = 1012428
17 + 1012411 = 1012428
29 + 1012399 = 1012428
31 + 1012397 = 1012428
59 + 1012369 = 1012428
107 + 1012321 = 1012428
139 + 1012289 = 1012428

Showing the first eight; more decompositions exist.

Hex color

#0F72CC

RGB(15, 114, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.204.

Address: 0.15.114.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.114.204

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2428 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2428-10-01 (MMDYYYY (US, single-digit day))
2428-01-10 (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 1,012,428 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 US1,012,428 on Google Patents ↗ Look up on USPTO ↗