Live analysis

1,042,008

1,042,008 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.).

1,042,008 (one million forty-two thousand eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 3,947. Its proper divisors sum to 1,800,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE658.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,041,996 1,041,997 1,041,998 1,041,999 1,042,000 1,042,001 1,042,002 1,042,003 1,042,004 1,042,005 1,042,006 1,042,007 1,042,008 1,042,009 1,042,010 1,042,011 1,042,012 1,042,013 1,042,014 1,042,015 1,042,016 1,042,017 1,042,018 1,042,019 1,042,020

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,002,401
Square (n²): 1,085,780,672,064
Cube (n³): 1,131,392,146,536,064,512
Divisor count: 32
σ(n) — sum of divisors: 2,842,560
φ(n) — Euler's totient: 315,680
Sum of prime factors: 3,967

Primality

Prime factorization: 2 ³ × 3 × 11 × 3947

Nearest primes: 1,042,001 (−7) · 1,042,021 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 132 · 264 · 3947 · 7894 · 11841 · 15788 · 23682 · 31576 · 43417 · 47364 · 86834 · 94728 · 130251 · 173668 · 260502 · 347336 · 521004 (half) · 1042008

Aliquot sum (sum of proper divisors): 1,800,552

Factor pairs (a × b = 1,042,008)

1 × 1042008

2 × 521004

3 × 347336

4 × 260502

6 × 173668

8 × 130251

11 × 94728

12 × 86834

22 × 47364

24 × 43417

33 × 31576

44 × 23682

66 × 15788

88 × 11841

132 × 7894

264 × 3947

First multiples

1,042,008 · 2,084,016 (double) · 3,126,024 · 4,168,032 · 5,210,040 · 6,252,048 · 7,294,056 · 8,336,064 · 9,378,072 · 10,420,080

Sums & aliquot sequence

As consecutive integers: 347,335 + 347,336 + 347,337 94,723 + 94,724 + … + 94,733 65,118 + 65,119 + … + 65,133 31,560 + 31,561 + … + 31,592

Aliquot sequence: 1,042,008 → 1,800,552 → 3,239,448 → 5,165,472 → 9,440,448 → 15,537,912 → 26,295,768 → 45,911,952 → 82,578,150 → 144,974,250 → 247,042,206 → 288,746,658 → 337,330,638 → 396,341,730 → 635,130,270 → 1,083,770,082 → 1,272,424,122 — unresolved within range

Continued fraction of √n

√1,042,008 = [1020; (1, 3, 1, 2, 1, 1, 17, 41, 1, 1, 1, 1, 4, 2, 4, 1, 3, 8, 1, 1, 6, 10, 255, 10, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million forty-two thousand eight
Ordinal: 1042008th
Binary: 11111110011001011000
Octal: 3763130
Hexadecimal: 0xFE658
Base64: D+ZY
One's complement: 4,293,925,287 (32-bit)
Scientific notation: 1.042008 × 10⁶
As a duration: 1,042,008 s = 12 days, 1 hour, 26 minutes, 48 seconds

In other bases

ternary (3) 1221221100220

quaternary (4) 3332121120

quinary (5) 231321013

senary (6) 34200040

septenary (7) 11566632

nonary (9) 1857326

undecimal (11) 651970

duodecimal (12) 423020

tridecimal (13) 2a6396

tetradecimal (14) 1d1a52

pentadecimal (15) 158b23

As an angle

1,042,008° = 2,894 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬二千零八
Chinese (financial): 壹佰零肆萬貳仟零捌

In other modern scripts

Eastern Arabic ١٠٤٢٠٠٨ Devanagari १०४२००८ Bengali ১০৪২০০৮ Tamil ௧௦௪௨௦௦௮ Thai ๑๐๔๒๐๐๘ Tibetan ༡༠༤༢༠༠༨ Khmer ១០៤២០០៨ Lao ໑໐໔໒໐໐໘ Burmese ၁၀၄၂၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042008, here are decompositions:

7 + 1042001 = 1042008
17 + 1041991 = 1042008
47 + 1041961 = 1042008
59 + 1041949 = 1042008
89 + 1041919 = 1042008
101 + 1041907 = 1042008
139 + 1041869 = 1042008
151 + 1041857 = 1042008

Showing the first eight; more decompositions exist.

Hex color

#0FE658

RGB(15, 230, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.88.

Address: 0.15.230.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.88

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 2008 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2008-04-01 (DMMYYYY (Euro, single-digit day))
2008-10-04 (MMDYYYY (US, single-digit day))
2008-04-10 (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 1,042,008 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 US1,042,008 on Google Patents ↗ Look up on USPTO ↗