Live analysis

1,004,072

1,004,072 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.).

1,004,072 (one million four thousand seventy-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2³ × 125,509. Written other ways, in hexadecimal, 0xF5228.

Deficient Number Happy Number Odious Number Refactorable Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,004,060 1,004,061 1,004,062 1,004,063 1,004,064 1,004,065 1,004,066 1,004,067 1,004,068 1,004,069 1,004,070 1,004,071 1,004,072 1,004,073 1,004,074 1,004,075 1,004,076 1,004,077 1,004,078 1,004,079 1,004,080 1,004,081 1,004,082 1,004,083 1,004,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,704,001
Square (n²): 1,008,160,581,184
Cube (n³): 1,012,265,811,070,581,248
Divisor count: 8
σ(n) — sum of divisors: 1,882,650
φ(n) — Euler's totient: 502,032
Sum of prime factors: 125,515

Primality

Prime factorization: 2 ³ × 125509

Nearest primes: 1,004,063 (−9) · 1,004,077 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 125509 · 251018 · 502036 (half) · 1004072

Aliquot sum (sum of proper divisors): 878,578

Factor pairs (a × b = 1,004,072)

1 × 1004072

2 × 502036

4 × 251018

8 × 125509

First multiples

1,004,072 · 2,008,144 (double) · 3,012,216 · 4,016,288 · 5,020,360 · 6,024,432 · 7,028,504 · 8,032,576 · 9,036,648 · 10,040,720

Sums & aliquot sequence

As a sum of two squares: 646² + 766²

As consecutive integers: 62,747 + 62,748 + … + 62,762

Aliquot sequence: 1,004,072 → 878,578 → 439,292 → 471,268 → 471,324 → 833,252 → 833,308 → 833,364 → 1,574,860 → 2,274,692 → 2,274,748 → 2,315,684 → 2,350,684 → 2,479,876 → 2,641,660 → 3,698,660 → 5,494,300 — unresolved within range

Continued fraction of √n

√1,004,072 = [1002; (29, 2, 8, 6, 1, 4, 2, 5, 4, 2, 6, 1, 18, 2, 2, 9, 5, 2, 1, 4, 1, 1, 1, 2, …)]

Representations

In words: one million four thousand seventy-two
Ordinal: 1004072nd
Binary: 11110101001000101000
Octal: 3651050
Hexadecimal: 0xF5228
Base64: D1Io
One's complement: 4,293,963,223 (32-bit)
Scientific notation: 1.004072 × 10⁶
As a duration: 1,004,072 s = 11 days, 14 hours, 54 minutes, 32 seconds

In other bases

ternary (3) 1220000022212

quaternary (4) 3311020220

quinary (5) 224112242

senary (6) 33304252

septenary (7) 11351216

nonary (9) 1800285

undecimal (11) 626413

duodecimal (12) 405088

tridecimal (13) 292034

tetradecimal (14) 1c1cb6

pentadecimal (15) 14c782

As an angle

1,004,072° = 2,789 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千零七十二
Chinese (financial): 壹佰萬肆仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٠٧٢ Devanagari १००४०७२ Bengali ১০০৪০৭২ Tamil ௧௦௦௪௦௭௨ Thai ๑๐๐๔๐๗๒ Tibetan ༡༠༠༤༠༧༢ Khmer ១០០៤០៧២ Lao ໑໐໐໔໐໗໒ Burmese ၁၀၀၄၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004072, here are decompositions:

19 + 1004053 = 1004072
109 + 1003963 = 1004072
163 + 1003909 = 1004072
193 + 1003879 = 1004072
331 + 1003741 = 1004072
379 + 1003693 = 1004072
463 + 1003609 = 1004072
523 + 1003549 = 1004072

Showing the first eight; more decompositions exist.

Hex color

#0F5228

RGB(15, 82, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.40.

Address: 0.15.82.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.40

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 1,004,072 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 US1,004,072 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1004072 first appears in π at position 708,550 of the decimal expansion (the 708,550ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1004072 on Pi Search ↗