Live analysis

1,042,002

1,042,002 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.).

1,042,002 (one million forty-two thousand two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 13 × 61 × 73. Its proper divisors sum to 1,463,046, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE652.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,990 1,041,991 1,041,992 1,041,993 1,041,994 1,041,995 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,002,401
Square (n²): 1,085,768,168,004
Cube (n³): 1,131,372,602,596,504,008
Divisor count: 48
σ(n) — sum of divisors: 2,505,048
φ(n) — Euler's totient: 311,040
Sum of prime factors: 155

Primality

Prime factorization: 2 × 3 ² × 13 × 61 × 73

Nearest primes: 1,042,001 (−1) · 1,042,021 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 61 · 73 · 78 · 117 · 122 · 146 · 183 · 219 · 234 · 366 · 438 · 549 · 657 · 793 · 949 · 1098 · 1314 · 1586 · 1898 · 2379 · 2847 · 4453 · 4758 · 5694 · 7137 · 8541 · 8906 · 13359 · 14274 · 17082 · 26718 · 40077 · 57889 · 80154 · 115778 · 173667 · 347334 · 521001 (half) · 1042002

Aliquot sum (sum of proper divisors): 1,463,046

Factor pairs (a × b = 1,042,002)

1 × 1042002

2 × 521001

3 × 347334

6 × 173667

9 × 115778

13 × 80154

18 × 57889

26 × 40077

39 × 26718

61 × 17082

73 × 14274

78 × 13359

117 × 8906

122 × 8541

146 × 7137

183 × 5694

219 × 4758

234 × 4453

366 × 2847

438 × 2379

549 × 1898

657 × 1586

793 × 1314

949 × 1098

First multiples

1,042,002 · 2,084,004 (double) · 3,126,006 · 4,168,008 · 5,210,010 · 6,252,012 · 7,294,014 · 8,336,016 · 9,378,018 · 10,420,020

Sums & aliquot sequence

As a sum of two squares: 141² + 1,011² = 321² + 969² = 519² + 879² = 669² + 771²

As consecutive integers: 347,333 + 347,334 + 347,335 260,499 + 260,500 + 260,501 + 260,502 115,774 + 115,775 + … + 115,782 86,828 + 86,829 + … + 86,839

Aliquot sequence: 1,042,002 → 1,463,046 → 1,688,298 → 1,771,158 → 1,794,858 → 2,071,158 → 2,071,170 → 3,500,154 → 5,167,206 → 7,360,794 → 11,491,974 → 15,759,978 → 18,550,998 → 23,180,202 → 28,616,598 → 35,319,402 → 43,822,584 — unresolved within range

Continued fraction of √n

√1,042,002 = [1020; (1, 3, 1, 1, 1, 6, 2, 2, 1, 2, 7, 1, 1, 2, 1, 4, 1, 15, 3, 1, 226, 11, 2, 6, …)]

Representations

In words: one million forty-two thousand two
Ordinal: 1042002nd
Binary: 11111110011001010010
Octal: 3763122
Hexadecimal: 0xFE652
Base64: D+ZS
One's complement: 4,293,925,293 (32-bit)
Scientific notation: 1.042002 × 10⁶
As a duration: 1,042,002 s = 12 days, 1 hour, 26 minutes, 42 seconds

In other bases

ternary (3) 1221221100200

quaternary (4) 3332121102

quinary (5) 231321002

senary (6) 34200030

septenary (7) 11566623

nonary (9) 1857320

undecimal (11) 651965

duodecimal (12) 423016

tridecimal (13) 2a6390

tetradecimal (14) 1d1a4a

pentadecimal (15) 158b1c

As an angle

1,042,002° = 2,894 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺
Chinese: 一百零四萬二千零二
Chinese (financial): 壹佰零肆萬貳仟零貳

In other modern scripts

Eastern Arabic ١٠٤٢٠٠٢ Devanagari १०४२००२ Bengali ১০৪২০০২ Tamil ௧௦௪௨௦௦௨ Thai ๑๐๔๒๐๐๒ Tibetan ༡༠༤༢༠༠༢ Khmer ១០៤២០០២ Lao ໑໐໔໒໐໐໒ Burmese ၁၀၄၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042002, here are decompositions:

11 + 1041991 = 1042002
19 + 1041983 = 1042002
41 + 1041961 = 1042002
53 + 1041949 = 1042002
83 + 1041919 = 1042002
109 + 1041893 = 1042002
113 + 1041889 = 1042002
139 + 1041863 = 1042002

Showing the first eight; more decompositions exist.

Hex color

#0FE652

RGB(15, 230, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.82.

Address: 0.15.230.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.82

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 2002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2002-04-01 (DMMYYYY (Euro, single-digit day))
2002-10-04 (MMDYYYY (US, single-digit day))
2002-04-10 (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 1,042,002 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 US1,042,002 on Google Patents ↗ Look up on USPTO ↗