Live analysis

1,007,072

1,007,072 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.).

1,007,072 (one million seven thousand seventy-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 2,861. Its proper divisors sum to 1,156,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DE0.

Abundant Number Arithmetic Number Evil Number Happy Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,060 1,007,061 1,007,062 1,007,063 1,007,064 1,007,065 1,007,066 1,007,067 1,007,068 1,007,069 1,007,070 1,007,071 1,007,072 1,007,073 1,007,074 1,007,075 1,007,076 1,007,077 1,007,078 1,007,079 1,007,080 1,007,081 1,007,082 1,007,083 1,007,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,707,001
Square (n²): 1,014,194,013,184
Cube (n³): 1,021,366,393,245,237,248
Divisor count: 24
σ(n) — sum of divisors: 2,163,672
φ(n) — Euler's totient: 457,600
Sum of prime factors: 2,882

Primality

Prime factorization: 2 ⁵ × 11 × 2861

Nearest primes: 1,007,059 (−13) · 1,007,081 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 2861 · 5722 · 11444 · 22888 · 31471 · 45776 · 62942 · 91552 · 125884 · 251768 · 503536 (half) · 1007072

Aliquot sum (sum of proper divisors): 1,156,600

Factor pairs (a × b = 1,007,072)

1 × 1007072

2 × 503536

4 × 251768

8 × 125884

11 × 91552

16 × 62942

22 × 45776

32 × 31471

44 × 22888

88 × 11444

176 × 5722

352 × 2861

First multiples

1,007,072 · 2,014,144 (double) · 3,021,216 · 4,028,288 · 5,035,360 · 6,042,432 · 7,049,504 · 8,056,576 · 9,063,648 · 10,070,720

Sums & aliquot sequence

As consecutive integers: 91,547 + 91,548 + … + 91,557 15,704 + 15,705 + … + 15,767 1,079 + 1,080 + … + 1,782

Aliquot sequence: 1,007,072 → 1,156,600 → 1,532,960 → 2,785,312 → 2,698,334 → 1,488,826 → 875,834 → 445,306 → 235,418 → 117,712 → 143,184 → 248,656 → 233,146 → 124,838 → 95,866 → 47,936 → 61,792 — unresolved within range

Continued fraction of √n

√1,007,072 = [1003; (1, 1, 7, 1, 8, 1, 3, 3, 2, 3, 4, 2, 1, 2, 1, 3, 1, 2, 2, 6, 1, 1, 11, 2, …)]

Representations

In words: one million seven thousand seventy-two
Ordinal: 1007072nd
Binary: 11110101110111100000
Octal: 3656740
Hexadecimal: 0xF5DE0
Base64: D13g
One's complement: 4,293,960,223 (32-bit)
Scientific notation: 1.007072 × 10⁶
As a duration: 1,007,072 s = 11 days, 15 hours, 44 minutes, 32 seconds

In other bases

ternary (3) 1220011102222

quaternary (4) 3311313200

quinary (5) 224211242

senary (6) 33330212

septenary (7) 11363033

nonary (9) 1804388

undecimal (11) 6286a0

duodecimal (12) 406968

tridecimal (13) 293501

tetradecimal (14) 1c301a

pentadecimal (15) 14d5d2

As an angle

1,007,072° = 2,797 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千零七十二
Chinese (financial): 壹佰萬柒仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠٧٢ Devanagari १००७०७२ Bengali ১০০৭০৭২ Tamil ௧௦௦௭௦௭௨ Thai ๑๐๐๗๐๗๒ Tibetan ༡༠༠༧༠༧༢ Khmer ១០០៧០៧២ Lao ໑໐໐໗໐໗໒ Burmese ၁၀၀၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007072, here are decompositions:

13 + 1007059 = 1007072
103 + 1006969 = 1007072
139 + 1006933 = 1007072
181 + 1006891 = 1007072
193 + 1006879 = 1007072
211 + 1006861 = 1007072
421 + 1006651 = 1007072
439 + 1006633 = 1007072

Showing the first eight; more decompositions exist.

Hex color

#0F5DE0

RGB(15, 93, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.224.

Address: 0.15.93.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.224

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 1,007,072 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 US1,007,072 on Google Patents ↗ Look up on USPTO ↗