Live analysis

1,012,002

1,012,002 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.).

1,012,002 (one million twelve thousand two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 151 × 1,117. Its proper divisors sum to 1,027,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7122.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,011,990 1,011,991 1,011,992 1,011,993 1,011,994 1,011,995 1,011,996 1,011,997 1,011,998 1,011,999 1,012,000 1,012,001 1,012,002 1,012,003 1,012,004 1,012,005 1,012,006 1,012,007 1,012,008 1,012,009 1,012,010 1,012,011 1,012,012 1,012,013 1,012,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,002,101
Square (n²): 1,024,148,048,004
Cube (n³): 1,036,439,872,876,144,008
Divisor count: 16
σ(n) — sum of divisors: 2,039,232
φ(n) — Euler's totient: 334,800
Sum of prime factors: 1,273

Primality

Prime factorization: 2 × 3 × 151 × 1117

Nearest primes: 1,011,979 (−23) · 1,012,007 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 151 · 302 · 453 · 906 · 1117 · 2234 · 3351 · 6702 · 168667 · 337334 · 506001 (half) · 1012002

Aliquot sum (sum of proper divisors): 1,027,230

Factor pairs (a × b = 1,012,002)

1 × 1012002

2 × 506001

3 × 337334

6 × 168667

151 × 6702

302 × 3351

453 × 2234

906 × 1117

First multiples

1,012,002 · 2,024,004 (double) · 3,036,006 · 4,048,008 · 5,060,010 · 6,072,012 · 7,084,014 · 8,096,016 · 9,108,018 · 10,120,020

Sums & aliquot sequence

As consecutive integers: 337,333 + 337,334 + 337,335 252,999 + 253,000 + 253,001 + 253,002 84,328 + 84,329 + … + 84,339 6,627 + 6,628 + … + 6,777

Aliquot sequence: 1,012,002 → 1,027,230 → 1,470,594 → 1,507,038 → 1,762,410 → 2,793,750 → 4,237,050 → 6,512,262 → 6,696,570 → 9,375,270 → 13,125,450 → 22,872,246 → 23,127,162 → 23,406,150 → 34,641,474 → 46,474,302 → 59,752,770 — unresolved within range

Continued fraction of √n

√1,012,002 = [1005; (1, 58, 5, 1, 2, 6, 1, 1, 1, 1, 3, 1, 7, 64, 1, 3, 2, 2, 1, 1, 5, 51, 2, 2, …)]

Representations

In words: one million twelve thousand two
Ordinal: 1012002nd
Binary: 11110111000100100010
Octal: 3670442
Hexadecimal: 0xF7122
Base64: D3Ei
One's complement: 4,293,955,293 (32-bit)
Scientific notation: 1.012002 × 10⁶
As a duration: 1,012,002 s = 11 days, 17 hours, 6 minutes, 42 seconds

In other bases

ternary (3) 1220102012120

quaternary (4) 3313010202

quinary (5) 224341002

senary (6) 33405110

septenary (7) 11413305

nonary (9) 1812176

undecimal (11) 631372

duodecimal (12) 409796

tridecimal (13) 295824

tetradecimal (14) 1c4b3c

pentadecimal (15) 14ecbc

As an angle

1,012,002° = 2,811 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓏺𓏺
Chinese: 一百零一萬二千零二
Chinese (financial): 壹佰零壹萬貳仟零貳

In other modern scripts

Eastern Arabic ١٠١٢٠٠٢ Devanagari १०१२००२ Bengali ১০১২০০২ Tamil ௧௦௧௨௦௦௨ Thai ๑๐๑๒๐๐๒ Tibetan ༡༠༡༢༠༠༢ Khmer ១០១២០០២ Lao ໑໐໑໒໐໐໒ Burmese ၁၀၁၂၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012002, here are decompositions:

23 + 1011979 = 1012002
29 + 1011973 = 1012002
41 + 1011961 = 1012002
59 + 1011943 = 1012002
109 + 1011893 = 1012002
113 + 1011889 = 1012002
223 + 1011779 = 1012002
239 + 1011763 = 1012002

Showing the first eight; more decompositions exist.

Hex color

#0F7122

RGB(15, 113, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.34.

Address: 0.15.113.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.34

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2002-10-01 (MMDYYYY (US, single-digit day))
2002-01-10 (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 1,012,002 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 US1,012,002 on Google Patents ↗ Look up on USPTO ↗