number.wiki
Live analysis

1,006,152

1,006,152 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.).

1,006,152 (one million six thousand one hundred fifty-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 53 × 113. Its proper divisors sum to 1,948,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A48.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,516,001
Square (n²)
1,012,341,847,104
Cube (n³)
1,018,569,774,147,383,808
Divisor count
64
σ(n) — sum of divisors
2,954,880
φ(n) — Euler's totient
279,552
Sum of prime factors
182

Primality

Prime factorization: 2 3 × 3 × 7 × 53 × 113

Nearest primes: 1,006,151 (−1) · 1,006,153 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 21 · 24 · 28 · 42 · 53 · 56 · 84 · 106 · 113 · 159 · 168 · 212 · 226 · 318 · 339 · 371 · 424 · 452 · 636 · 678 · 742 · 791 · 904 · 1113 · 1272 · 1356 · 1484 · 1582 · 2226 · 2373 · 2712 · 2968 · 3164 · 4452 · 4746 · 5989 · 6328 · 8904 · 9492 · 11978 · 17967 · 18984 · 23956 · 35934 · 41923 · 47912 · 71868 · 83846 · 125769 · 143736 · 167692 · 251538 · 335384 · 503076 (half) · 1006152
Aliquot sum (sum of proper divisors): 1,948,728
Factor pairs (a × b = 1,006,152)
1 × 1006152
2 × 503076
3 × 335384
4 × 251538
6 × 167692
7 × 143736
8 × 125769
12 × 83846
14 × 71868
21 × 47912
24 × 41923
28 × 35934
42 × 23956
53 × 18984
56 × 17967
84 × 11978
106 × 9492
113 × 8904
159 × 6328
168 × 5989
212 × 4746
226 × 4452
318 × 3164
339 × 2968
371 × 2712
424 × 2373
452 × 2226
636 × 1582
678 × 1484
742 × 1356
791 × 1272
904 × 1113
First multiples
1,006,152 · 2,012,304 (double) · 3,018,456 · 4,024,608 · 5,030,760 · 6,036,912 · 7,043,064 · 8,049,216 · 9,055,368 · 10,061,520

Sums & aliquot sequence

As consecutive integers: 335,383 + 335,384 + 335,385 143,733 + 143,734 + … + 143,739 62,877 + 62,878 + … + 62,892 47,902 + 47,903 + … + 47,922
Aliquot sequence: 1,006,152 1,948,728 2,923,152 4,628,448 10,128,672 21,018,528 45,912,420 103,924,764 171,757,188 312,173,532 548,669,724 732,005,364 976,451,596 732,338,704 686,567,566 360,166,778 180,083,392 — unresolved within range

Continued fraction of √n

√1,006,152 = [1003; (14, 35, 8, 16, 2, 5, 13, 1, 5, 1, 1, 11, 3, 71, 3, 11, 1, 1, 5, 1, 13, 5, 2, 16, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million six thousand one hundred fifty-two
Ordinal
1006152nd
Binary
11110101101001001000
Octal
3655110
Hexadecimal
0xF5A48
Base64
D1pI
One's complement
4,293,961,143 (32-bit)
Scientific notation
1.006152 × 10⁶
As a duration
1,006,152 s = 11 days, 15 hours, 29 minutes, 12 seconds
In other bases
ternary (3) 1220010011220
quaternary (4) 3311221020
quinary (5) 224144102
senary (6) 33322040
septenary (7) 11360250
nonary (9) 1803156
undecimal (11) 627a34
duodecimal (12) 406320
tridecimal (13) 292c74
tetradecimal (14) 1c2960
pentadecimal (15) 14d1bc

As an angle

1,006,152° = 2,794 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬六千一百五十二
Chinese (financial)
壹佰萬陸仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٠٦١٥٢ Devanagari १००६१५२ Bengali ১০০৬১৫২ Tamil ௧௦௦௬௧௫௨ Thai ๑๐๐๖๑๕๒ Tibetan ༡༠༠༦༡༥༢ Khmer ១០០៦១៥២ Lao ໑໐໐໖໑໕໒ Burmese ၁၀၀၆၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006152, here are decompositions:

  • 5 + 1006147 = 1006152
  • 19 + 1006133 = 1006152
  • 29 + 1006123 = 1006152
  • 61 + 1006091 = 1006152
  • 89 + 1006063 = 1006152
  • 131 + 1006021 = 1006152
  • 149 + 1006003 = 1006152
  • 163 + 1005989 = 1006152

Showing the first eight; more decompositions exist.

Hex color
#0F5A48
RGB(15, 90, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.72.

Address
0.15.90.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.90.72

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 1,006,152 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°.