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1,000,272

1,000,272 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.).

1,000,272 (one million two hundred seventy-two) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 13 × 229. Its proper divisors sum to 2,193,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4350.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
2,720,001
Square (n²)
1,000,544,073,984
Cube (n³)
1,000,816,221,972,123,648
Divisor count
80
σ(n) — sum of divisors
3,194,240
φ(n) — Euler's totient
262,656
Sum of prime factors
260

Primality

Prime factorization: 2 4 × 3 × 7 × 13 × 229

Nearest primes: 1,000,253 (−19) · 1,000,273 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 16 · 21 · 24 · 26 · 28 · 39 · 42 · 48 · 52 · 56 · 78 · 84 · 91 · 104 · 112 · 156 · 168 · 182 · 208 · 229 · 273 · 312 · 336 · 364 · 458 · 546 · 624 · 687 · 728 · 916 · 1092 · 1374 · 1456 · 1603 · 1832 · 2184 · 2748 · 2977 · 3206 · 3664 · 4368 · 4809 · 5496 · 5954 · 6412 · 8931 · 9618 · 10992 · 11908 · 12824 · 17862 · 19236 · 20839 · 23816 · 25648 · 35724 · 38472 · 41678 · 47632 · 62517 · 71448 · 76944 · 83356 · 125034 · 142896 · 166712 · 250068 · 333424 · 500136 (half) · 1000272
Aliquot sum (sum of proper divisors): 2,193,968
Factor pairs (a × b = 1,000,272)
1 × 1000272
2 × 500136
3 × 333424
4 × 250068
6 × 166712
7 × 142896
8 × 125034
12 × 83356
13 × 76944
14 × 71448
16 × 62517
21 × 47632
24 × 41678
26 × 38472
28 × 35724
39 × 25648
42 × 23816
48 × 20839
52 × 19236
56 × 17862
78 × 12824
84 × 11908
91 × 10992
104 × 9618
112 × 8931
156 × 6412
168 × 5954
182 × 5496
208 × 4809
229 × 4368
273 × 3664
312 × 3206
336 × 2977
364 × 2748
458 × 2184
546 × 1832
624 × 1603
687 × 1456
728 × 1374
916 × 1092
First multiples
1,000,272 · 2,000,544 (double) · 3,000,816 · 4,001,088 · 5,001,360 · 6,001,632 · 7,001,904 · 8,002,176 · 9,002,448 · 10,002,720

Sums & aliquot sequence

As consecutive integers: 333,423 + 333,424 + 333,425 142,893 + 142,894 + … + 142,899 76,938 + 76,939 + … + 76,950 47,622 + 47,623 + … + 47,642
Aliquot sequence: 1,000,272 2,193,968 2,924,752 2,850,548 2,160,304 2,025,316 1,518,994 772,766 386,386 395,822 297,778 186,440 245,560 386,600 512,710 524,090 554,182 — unresolved within range

Continued fraction of √n

√1,000,272 = [1000; (7, 2, 1, 4, 1, 6, 10, 3, 1, 2, 6, 1, 1, 1, 1, 5, 3, 30, 1, 15, 1, 1, 3, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one million two hundred seventy-two
Ordinal
1000272nd
Binary
11110100001101010000
Octal
3641520
Hexadecimal
0xF4350
Base64
D0NQ
One's complement
4,293,967,023 (32-bit)
Scientific notation
1.000272 × 10⁶
As a duration
1,000,272 s = 11 days, 13 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 1212211010010
quaternary (4) 3310031100
quinary (5) 224002042
senary (6) 33234520
septenary (7) 11334150
nonary (9) 1784103
undecimal (11) 623579
duodecimal (12) 402a40
tridecimal (13) 2903a0
tetradecimal (14) 1c0760
pentadecimal (15) 14b59c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬零二百七十二
Chinese (financial)
壹佰萬零貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٠٠٢٧٢ Devanagari १०००२७२ Bengali ১০০০২৭২ Tamil ௧௦௦௦௨௭௨ Thai ๑๐๐๐๒๗๒ Tibetan ༡༠༠༠༢༧༢ Khmer ១០០០២៧២ Lao ໑໐໐໐໒໗໒ Burmese ၁၀၀၀၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000272, here are decompositions:

  • 19 + 1000253 = 1000272
  • 23 + 1000249 = 1000272
  • 41 + 1000231 = 1000272
  • 59 + 1000213 = 1000272
  • 61 + 1000211 = 1000272
  • 73 + 1000199 = 1000272
  • 79 + 1000193 = 1000272
  • 89 + 1000183 = 1000272

Showing the first eight; more decompositions exist.

Hex color
#0F4350
RGB(15, 67, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.80.

Address
0.15.67.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.67.80

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 1,000,272 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.