Live analysis

1,057,002

1,057,002 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.).

1,057,002 (one million fifty-seven thousand two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 113 × 1,559. Its proper divisors sum to 1,077,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1020EA.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,056,990 1,056,991 1,056,992 1,056,993 1,056,994 1,056,995 1,056,996 1,056,997 1,056,998 1,056,999 1,057,000 1,057,001 1,057,002 1,057,003 1,057,004 1,057,005 1,057,006 1,057,007 1,057,008 1,057,009 1,057,010 1,057,011 1,057,012 1,057,013 1,057,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 21 bits
Reversed: 2,007,501
Square (n²): 1,117,253,228,004
Cube (n³): 1,180,938,896,506,684,008
Divisor count: 16
σ(n) — sum of divisors: 2,134,080
φ(n) — Euler's totient: 348,992
Sum of prime factors: 1,677

Primality

Prime factorization: 2 × 3 × 113 × 1559

Nearest primes: 1,056,971 (−31) · 1,057,003 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 113 · 226 · 339 · 678 · 1559 · 3118 · 4677 · 9354 · 176167 · 352334 · 528501 (half) · 1057002

Aliquot sum (sum of proper divisors): 1,077,078

Factor pairs (a × b = 1,057,002)

1 × 1057002

2 × 528501

3 × 352334

6 × 176167

113 × 9354

226 × 4677

339 × 3118

678 × 1559

First multiples

1,057,002 · 2,114,004 (double) · 3,171,006 · 4,228,008 · 5,285,010 · 6,342,012 · 7,399,014 · 8,456,016 · 9,513,018 · 10,570,020

Sums & aliquot sequence

As consecutive integers: 352,333 + 352,334 + 352,335 264,249 + 264,250 + 264,251 + 264,252 88,078 + 88,079 + … + 88,089 9,298 + 9,299 + … + 9,410

Aliquot sequence: 1,057,002 → 1,077,078 → 1,102,362 → 1,113,798 → 1,545,018 → 1,545,030 → 2,472,282 → 3,083,814 → 4,104,666 → 4,849,734 → 5,393,850 → 11,319,366 → 11,319,378 → 14,713,902 → 22,905,810 → 37,110,510 → 59,377,050 — unresolved within range

Continued fraction of √n

√1,057,002 = [1028; (9, 2, 3, 6, 3, 1, 1, 4, 3, 1, 6, 1, 1, 1, 2, 1, 2, 7, 2, 12, 1, 7, 1, 1, …)]

Representations

In words: one million fifty-seven thousand two
Ordinal: 1057002nd
Binary: 100000010000011101010
Octal: 4020352
Hexadecimal: 0x1020EA
Base64: ECDq
One's complement: 4,293,910,293 (32-bit)
Scientific notation: 1.057002 × 10⁶
As a duration: 1,057,002 s = 12 days, 5 hours, 36 minutes, 42 seconds

In other bases

ternary (3) 1222200221020

quaternary (4) 10002003222

quinary (5) 232311002

senary (6) 34353310

septenary (7) 11661432

nonary (9) 1880836

undecimal (11) 662161

duodecimal (12) 42b836

tridecimal (13) 2b015b

tetradecimal (14) 1d72c2

pentadecimal (15) 15d2bc

As an angle

1,057,002° = 2,936 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Chinese: 一百零五萬七千零二
Chinese (financial): 壹佰零伍萬柒仟零貳

In other modern scripts

Eastern Arabic ١٠٥٧٠٠٢ Devanagari १०५७००२ Bengali ১০৫৭০০২ Tamil ௧௦௫௭௦௦௨ Thai ๑๐๕๗๐๐๒ Tibetan ༡༠༥༧༠༠༢ Khmer ១០៥៧០០២ Lao ໑໐໕໗໐໐໒ Burmese ၁၀၅၇၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057002, here are decompositions:

31 + 1056971 = 1057002
43 + 1056959 = 1057002
53 + 1056949 = 1057002
73 + 1056929 = 1057002
109 + 1056893 = 1057002
131 + 1056871 = 1057002
139 + 1056863 = 1057002
173 + 1056829 = 1057002

Showing the first eight; more decompositions exist.

Hex color

#1020EA

RGB(16, 32, 234)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.234.

Address: 0.16.32.234
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.32.234

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 7002 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7002-05-01 (DMMYYYY (Euro, single-digit day))
7002-10-05 (MMDYYYY (US, single-digit day))
7002-05-10 (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 1,057,002 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 US1,057,002 on Google Patents ↗ Look up on USPTO ↗