Live analysis

1,010,004

1,010,004 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.).

1,010,004 (one million ten thousand four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 17 × 4,951. Its proper divisors sum to 1,485,804, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6954.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,009,992 1,009,993 1,009,994 1,009,995 1,009,996 1,009,997 1,009,998 1,009,999 1,010,000 1,010,001 1,010,002 1,010,003 1,010,004 1,010,005 1,010,006 1,010,007 1,010,008 1,010,009 1,010,010 1,010,011 1,010,012 1,010,013 1,010,014 1,010,015 1,010,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,000,101
Square (n²): 1,020,108,080,016
Cube (n³): 1,030,313,241,248,480,064
Divisor count: 24
σ(n) — sum of divisors: 2,495,808
φ(n) — Euler's totient: 316,800
Sum of prime factors: 4,975

Primality

Prime factorization: 2 ² × 3 × 17 × 4951

Nearest primes: 1,010,003 (−1) · 1,010,033 (+29)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 17 · 34 · 51 · 68 · 102 · 204 · 4951 · 9902 · 14853 · 19804 · 29706 · 59412 · 84167 · 168334 · 252501 · 336668 · 505002 (half) · 1010004

Aliquot sum (sum of proper divisors): 1,485,804

Factor pairs (a × b = 1,010,004)

1 × 1010004

2 × 505002

3 × 336668

4 × 252501

6 × 168334

12 × 84167

17 × 59412

34 × 29706

51 × 19804

68 × 14853

102 × 9902

204 × 4951

First multiples

1,010,004 · 2,020,008 (double) · 3,030,012 · 4,040,016 · 5,050,020 · 6,060,024 · 7,070,028 · 8,080,032 · 9,090,036 · 10,100,040

Sums & aliquot sequence

As consecutive integers: 336,667 + 336,668 + 336,669 126,247 + 126,248 + … + 126,254 59,404 + 59,405 + … + 59,420 42,072 + 42,073 + … + 42,095

Aliquot sequence: 1,010,004 → 1,485,804 → 1,981,100 → 2,711,308 → 2,033,488 → 1,962,660 → 4,319,196 → 7,198,884 → 16,388,316 → 30,956,436 → 65,139,564 → 109,121,684 → 109,121,740 → 172,920,692 → 172,920,748 → 254,955,092 → 280,897,708 — unresolved within range

Continued fraction of √n

√1,010,004 = [1004; (1, 94, 1, 2, 2, 40, 1, 1, 2, 4, 2, 1, 1, 1, 56, 1, 3, 1, 133, 5, 57, 4, 2, 1, …)]

Representations

In words: one million ten thousand four
Ordinal: 1010004th
Binary: 11110110100101010100
Octal: 3664524
Hexadecimal: 0xF6954
Base64: D2lU
One's complement: 4,293,957,291 (32-bit)
Scientific notation: 1.010004 × 10⁶
As a duration: 1,010,004 s = 11 days, 16 hours, 33 minutes, 24 seconds

In other bases

ternary (3) 1220022110120

quaternary (4) 3312211110

quinary (5) 224310004

senary (6) 33351540

septenary (7) 11404422

nonary (9) 1808416

undecimal (11) 62a916

duodecimal (12) 4085b0

tridecimal (13) 294948

tetradecimal (14) 1c4112

pentadecimal (15) 14e3d9

As an angle

1,010,004° = 2,805 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零四
Chinese (financial): 壹佰零壹萬零肆

In other modern scripts

Eastern Arabic ١٠١٠٠٠٤ Devanagari १०१०००४ Bengali ১০১০০০৪ Tamil ௧௦௧௦௦௦௪ Thai ๑๐๑๐๐๐๔ Tibetan ༡༠༡༠༠༠༤ Khmer ១០១០០០៤ Lao ໑໐໑໐໐໐໔ Burmese ၁၀၁၀၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010004, here are decompositions:

7 + 1009997 = 1010004
11 + 1009993 = 1010004
13 + 1009991 = 1010004
41 + 1009963 = 1010004
53 + 1009951 = 1010004
67 + 1009937 = 1010004
103 + 1009901 = 1010004
131 + 1009873 = 1010004

Showing the first eight; more decompositions exist.

Hex color

#0F6954

RGB(15, 105, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.84.

Address: 0.15.105.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.84

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 0004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0004-10-01 (MMDYYYY (US, single-digit day))
0004-01-10 (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 1,010,004 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 US1,010,004 on Google Patents ↗ Look up on USPTO ↗