Live analysis

1,004,972

1,004,972 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.).

1,004,972 (one million four thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 14,779. Written other ways, in hexadecimal, 0xF55AC.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,960 1,004,961 1,004,962 1,004,963 1,004,964 1,004,965 1,004,966 1,004,967 1,004,968 1,004,969 1,004,970 1,004,971 1,004,972 1,004,973 1,004,974 1,004,975 1,004,976 1,004,977 1,004,978 1,004,979 1,004,980 1,004,981 1,004,982 1,004,983 1,004,984

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Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,794,001
Square (n²): 1,009,968,720,784
Cube (n³): 1,014,990,285,263,738,048
Divisor count: 12
σ(n) — sum of divisors: 1,862,280
φ(n) — Euler's totient: 472,896
Sum of prime factors: 14,800

Primality

Prime factorization: 2 ² × 17 × 14779

Nearest primes: 1,004,963 (−9) · 1,004,977 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 17 · 34 · 68 · 14779 · 29558 · 59116 · 251243 · 502486 (half) · 1004972

Aliquot sum (sum of proper divisors): 857,308

Factor pairs (a × b = 1,004,972)

1 × 1004972

2 × 502486

4 × 251243

17 × 59116

34 × 29558

68 × 14779

First multiples

1,004,972 · 2,009,944 (double) · 3,014,916 · 4,019,888 · 5,024,860 · 6,029,832 · 7,034,804 · 8,039,776 · 9,044,748 · 10,049,720

Sums & aliquot sequence

As consecutive integers: 125,618 + 125,619 + … + 125,625 59,108 + 59,109 + … + 59,124 7,322 + 7,323 + … + 7,457

Aliquot sequence: 1,004,972 → 857,308 → 662,532 → 1,068,540 → 2,197,380 → 4,080,444 → 5,440,620 → 9,793,284 → 14,260,956 → 19,014,636 → 28,571,028 → 40,013,292 → 62,826,900 → 133,160,556 → 182,311,188 → 250,056,972 → 439,495,164 — unresolved within range

Continued fraction of √n

√1,004,972 = [1002; (2, 14, 7, 2, 2, 2, 1, 6, 2, 3, 105, 4, 4, 5, 10, 3, 3, 1, 3, 5, 1, 1, 1, 1, …)]

Representations

In words: one million four thousand nine hundred seventy-two
Ordinal: 1004972nd
Binary: 11110101010110101100
Octal: 3652654
Hexadecimal: 0xF55AC
Base64: D1Ws
One's complement: 4,293,962,323 (32-bit)
Scientific notation: 1.004972 × 10⁶
As a duration: 1,004,972 s = 11 days, 15 hours, 9 minutes, 32 seconds

In other bases

ternary (3) 1220001120012

quaternary (4) 3311112230

quinary (5) 224124342

senary (6) 33312352

septenary (7) 11353643

nonary (9) 1801505

undecimal (11) 627061

duodecimal (12) 4056b8

tridecimal (13) 292577

tetradecimal (14) 1c235a

pentadecimal (15) 14cb82

As an angle

1,004,972° = 2,791 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千九百七十二
Chinese (financial): 壹佰萬肆仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٩٧٢ Devanagari १००४९७२ Bengali ১০০৪৯৭২ Tamil ௧௦௦௪௯௭௨ Thai ๑๐๐๔๙๗๒ Tibetan ༡༠༠༤༩༧༢ Khmer ១០០៤៩៧២ Lao ໑໐໐໔໙໗໒ Burmese ၁၀၀၄၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004972, here are decompositions:

61 + 1004911 = 1004972
193 + 1004779 = 1004972
211 + 1004761 = 1004972
223 + 1004749 = 1004972
229 + 1004743 = 1004972
313 + 1004659 = 1004972
373 + 1004599 = 1004972
421 + 1004551 = 1004972

Showing the first eight; more decompositions exist.

Hex color

#0F55AC

RGB(15, 85, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.172.

Address: 0.15.85.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.172

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

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 1,004,972 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 US1,004,972 on Google Patents ↗ Look up on USPTO ↗