Live analysis

1,014,072

1,014,072 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.).

1,014,072 (one million fourteen thousand seventy-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 29 × 31 × 47. Its proper divisors sum to 1,750,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7938.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,014,060 1,014,061 1,014,062 1,014,063 1,014,064 1,014,065 1,014,066 1,014,067 1,014,068 1,014,069 1,014,070 1,014,071 1,014,072 1,014,073 1,014,074 1,014,075 1,014,076 1,014,077 1,014,078 1,014,079 1,014,080 1,014,081 1,014,082 1,014,083 1,014,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,704,101
Square (n²): 1,028,342,021,184
Cube (n³): 1,042,812,850,106,101,248
Divisor count: 64
σ(n) — sum of divisors: 2,764,800
φ(n) — Euler's totient: 309,120
Sum of prime factors: 116

Primality

Prime factorization: 2 ³ × 3 × 29 × 31 × 47

Nearest primes: 1,014,061 (−11) · 1,014,089 (+17)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 29 · 31 · 47 · 58 · 62 · 87 · 93 · 94 · 116 · 124 · 141 · 174 · 186 · 188 · 232 · 248 · 282 · 348 · 372 · 376 · 564 · 696 · 744 · 899 · 1128 · 1363 · 1457 · 1798 · 2697 · 2726 · 2914 · 3596 · 4089 · 4371 · 5394 · 5452 · 5828 · 7192 · 8178 · 8742 · 10788 · 10904 · 11656 · 16356 · 17484 · 21576 · 32712 · 34968 · 42253 · 84506 · 126759 · 169012 · 253518 · 338024 · 507036 (half) · 1014072

Aliquot sum (sum of proper divisors): 1,750,728

Factor pairs (a × b = 1,014,072)

1 × 1014072

2 × 507036

3 × 338024

4 × 253518

6 × 169012

8 × 126759

12 × 84506

24 × 42253

29 × 34968

31 × 32712

47 × 21576

58 × 17484

62 × 16356

87 × 11656

93 × 10904

94 × 10788

116 × 8742

124 × 8178

141 × 7192

174 × 5828

186 × 5452

188 × 5394

232 × 4371

248 × 4089

282 × 3596

348 × 2914

372 × 2726

376 × 2697

564 × 1798

696 × 1457

744 × 1363

899 × 1128

First multiples

1,014,072 · 2,028,144 (double) · 3,042,216 · 4,056,288 · 5,070,360 · 6,084,432 · 7,098,504 · 8,112,576 · 9,126,648 · 10,140,720

Sums & aliquot sequence

As consecutive integers: 338,023 + 338,024 + 338,025 63,372 + 63,373 + … + 63,387 34,954 + 34,955 + … + 34,982 32,697 + 32,698 + … + 32,727

Aliquot sequence: 1,014,072 → 1,750,728 → 3,554,232 → 6,139,848 → 11,903,352 → 17,855,088 → 28,270,680 → 60,237,480 → 125,372,760 → 251,888,520 → 575,558,520 → 1,171,950,600 → 2,515,447,320 → 5,030,895,000 → 11,855,574,600 — keeps growing

Continued fraction of √n

√1,014,072 = [1007; (87, 1, 1, 3, 3, 3, 1, 1, 87, 2014)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million fourteen thousand seventy-two
Ordinal: 1014072nd
Binary: 11110111100100111000
Octal: 3674470
Hexadecimal: 0xF7938
Base64: D3k4
One's complement: 4,293,953,223 (32-bit)
Scientific notation: 1.014072 × 10⁶
As a duration: 1,014,072 s = 11 days, 17 hours, 41 minutes, 12 seconds

In other bases

ternary (3) 1220112001020

quaternary (4) 3313210320

quinary (5) 224422242

senary (6) 33422440

septenary (7) 11422323

nonary (9) 1815036

undecimal (11) 632984

duodecimal (12) 40aa20

tridecimal (13) 296757

tetradecimal (14) 1c57ba

pentadecimal (15) 1506ec

As an angle

1,014,072° = 2,816 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬四千零七十二
Chinese (financial): 壹佰零壹萬肆仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠١٤٠٧٢ Devanagari १०१४०७२ Bengali ১০১৪০৭২ Tamil ௧௦௧௪௦௭௨ Thai ๑๐๑๔๐๗๒ Tibetan ༡༠༡༤༠༧༢ Khmer ១០១៤០៧២ Lao ໑໐໑໔໐໗໒ Burmese ၁၀၁၄၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014072, here are decompositions:

11 + 1014061 = 1014072
43 + 1014029 = 1014072
79 + 1013993 = 1014072
139 + 1013933 = 1014072
149 + 1013923 = 1014072
151 + 1013921 = 1014072
173 + 1013899 = 1014072
179 + 1013893 = 1014072

Showing the first eight; more decompositions exist.

Hex color

#0F7938

RGB(15, 121, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.121.56.

Address: 0.15.121.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.121.56

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 4072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

4072-10-01 (MMDYYYY (US, single-digit day))
4072-01-10 (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 1,014,072 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 US1,014,072 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1014072 first appears in π at position 297,813 of the decimal expansion (the 297,813ordinal-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 1014072 on Pi Search ↗