Live analysis

1,006,428

1,006,428 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.).

1,006,428 (one million six thousand four hundred twenty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,869. Its proper divisors sum to 1,341,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B5C.

Abundant Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,416 1,006,417 1,006,418 1,006,419 1,006,420 1,006,421 1,006,422 1,006,423 1,006,424 1,006,425 1,006,426 1,006,427 1,006,428 1,006,429 1,006,430 1,006,431 1,006,432 1,006,433 1,006,434 1,006,435 1,006,436 1,006,437 1,006,438 1,006,439 1,006,440

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,246,001
Square (n²): 1,012,897,319,184
Cube (n³): 1,019,408,223,151,714,752
Divisor count: 12
σ(n) — sum of divisors: 2,348,360
φ(n) — Euler's totient: 335,472
Sum of prime factors: 83,876

Primality

Prime factorization: 2 ² × 3 × 83869

Nearest primes: 1,006,393 (−35) · 1,006,433 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83869 · 167738 · 251607 · 335476 · 503214 (half) · 1006428

Aliquot sum (sum of proper divisors): 1,341,932

Factor pairs (a × b = 1,006,428)

1 × 1006428

2 × 503214

3 × 335476

4 × 251607

6 × 167738

12 × 83869

First multiples

1,006,428 · 2,012,856 (double) · 3,019,284 · 4,025,712 · 5,032,140 · 6,038,568 · 7,044,996 · 8,051,424 · 9,057,852 · 10,064,280

Sums & aliquot sequence

As consecutive integers: 335,475 + 335,476 + 335,477 125,800 + 125,801 + … + 125,807 41,923 + 41,924 + … + 41,946

Aliquot sequence: 1,006,428 → 1,341,932 → 1,130,188 → 916,052 → 784,948 → 611,664 → 968,592 → 1,683,024 → 3,286,896 → 5,204,376 → 9,578,964 → 13,948,876 → 10,461,664 → 11,347,424 → 13,024,504 → 11,396,456 → 9,971,914 — unresolved within range

Continued fraction of √n

√1,006,428 = [1003; (4, 1, 3, 1, 2, 1, 1, 3, 1, 4, 2, 1, 1, 3, 3, 2, 6, 1, 1, 1, 2, 2, 4, 1, …)]

Representations

In words: one million six thousand four hundred twenty-eight
Ordinal: 1006428th
Binary: 11110101101101011100
Octal: 3655534
Hexadecimal: 0xF5B5C
Base64: D1tc
One's complement: 4,293,960,867 (32-bit)
Scientific notation: 1.006428 × 10⁶
As a duration: 1,006,428 s = 11 days, 15 hours, 33 minutes, 48 seconds

In other bases

ternary (3) 1220010120010

quaternary (4) 3311231130

quinary (5) 224201203

senary (6) 33323220

septenary (7) 11361123

nonary (9) 1803503

undecimal (11) 628165

duodecimal (12) 406510

tridecimal (13) 293127

tetradecimal (14) 1c2aba

pentadecimal (15) 14d303

As an angle

1,006,428° = 2,795 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百二十八
Chinese (financial): 壹佰萬陸仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٤٢٨ Devanagari १००६४२८ Bengali ১০০৬৪২৮ Tamil ௧௦௦௬௪௨௮ Thai ๑๐๐๖๔๒๘ Tibetan ༡༠༠༦༤༢༨ Khmer ១០០៦៤២៨ Lao ໑໐໐໖໔໒໘ Burmese ၁၀၀၆၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006428, here are decompositions:

37 + 1006391 = 1006428
61 + 1006367 = 1006428
67 + 1006361 = 1006428
89 + 1006339 = 1006428
97 + 1006331 = 1006428
127 + 1006301 = 1006428
149 + 1006279 = 1006428
179 + 1006249 = 1006428

Showing the first eight; more decompositions exist.

Hex color

#0F5B5C

RGB(15, 91, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.92.

Address: 0.15.91.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.92

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 1,006,428 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 US1,006,428 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1006428 first appears in π at position 751,154 of the decimal expansion (the 751,154ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1006428 on Pi Search ↗