Live analysis

1,000,072

1,000,072 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.).

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Interestingness

★ ☆ ☆ ☆ ☆

0 notable facts · grade F

1,000,060 1,000,061 1,000,062 1,000,063 1,000,064 1,000,065 1,000,066 1,000,067 1,000,068 1,000,069 1,000,070 1,000,071 1,000,072 1,000,073 1,000,074 1,000,075 1,000,076 1,000,077 1,000,078 1,000,079 1,000,080 1,000,081 1,000,082 1,000,083 1,000,084

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Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,700,001
Square (n²): 1,000,144,005,184
Cube (n³): 1,000,216,015,552,373,248
Divisor count: 16
σ(n) — sum of divisors: 1,921,500
φ(n) — Euler's totient: 487,680
Sum of prime factors: 3,096

Primality

Prime factorization: 2 ³ × 41 × 3049

Nearest primes: 1,000,039 (−33) · 1,000,081 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 41 · 82 · 164 · 328 · 3049 · 6098 · 12196 · 24392 · 125009 · 250018 · 500036 (half) · 1000072

Aliquot sum (sum of proper divisors): 921,428

Factor pairs (a × b = 1,000,072)

1 × 1000072

2 × 500036

4 × 250018

8 × 125009

41 × 24392

82 × 12196

164 × 6098

328 × 3049

First multiples

1,000,072 · 2,000,144 (double) · 3,000,216 · 4,000,288 · 5,000,360 · 6,000,432 · 7,000,504 · 8,000,576 · 9,000,648 · 10,000,720

Sums & aliquot sequence

As a sum of two squares: 486² + 874² = 666² + 746²

As consecutive integers: 62,497 + 62,498 + … + 62,512 24,372 + 24,373 + … + 24,412 1,197 + 1,198 + … + 1,852

Aliquot sequence: 1,000,072 → 921,428 → 691,078 → 350,690 → 280,570 → 224,474 → 112,240 → 164,528 → 231,280 → 404,840 → 540,160 → 761,096 → 869,944 → 805,856 → 780,736 → 910,904 → 852,616 — unresolved within range

Continued fraction of √n

√1,000,072 = [1000; (27, 1, 3, 1, 1, 24, 7, 2, 1, 17, 55, 1, 1, 249, 1, 1, 55, 17, 1, 2, 7, 24, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million seventy-two
Ordinal: 1000072nd
Binary: 11110100001010001000
Octal: 3641210
Hexadecimal: 0xF4288
Base64: D0KI
One's complement: 4,293,967,223 (32-bit)
Scientific notation: 1.000072 × 10⁶
As a duration: 1,000,072 s = 11 days, 13 hours, 47 minutes, 52 seconds

In other bases

ternary (3) 1212210211201

quaternary (4) 3310022020

quinary (5) 224000242

senary (6) 33233544

septenary (7) 11333443

nonary (9) 1783751

undecimal (11) 623407

duodecimal (12) 4028b4

tridecimal (13) 290278

tetradecimal (14) 1c065a

pentadecimal (15) 14b4b7

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬零七十二
Chinese (financial): 壹佰萬零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٠٠٧٢ Devanagari १००००७२ Bengali ১০০০০৭২ Tamil ௧௦௦௦௦௭௨ Thai ๑๐๐๐๐๗๒ Tibetan ༡༠༠༠༠༧༢ Khmer ១០០០០៧២ Lao ໑໐໐໐໐໗໒ Burmese ၁၀၀၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000072, here are decompositions:

89 + 999983 = 1000072
113 + 999959 = 1000072
263 + 999809 = 1000072
389 + 999683 = 1000072
401 + 999671 = 1000072
419 + 999653 = 1000072
449 + 999623 = 1000072
461 + 999611 = 1000072

Showing the first eight; more decompositions exist.

Hex color

#0F4288

RGB(15, 66, 136)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.136.

Address: 0.15.66.136
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.66.136

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 1,000,072 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 US1,000,072 on Google Patents ↗ Look up on USPTO ↗