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1,007,952

1,007,952 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.).

1,007,952 (one million seven thousand nine hundred fifty-two) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 11 × 23 × 83. Its proper divisors sum to 1,991,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6150.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,597,001
Recamán's sequence
a(349,547) = 1,007,952
Square (n²)
1,015,967,234,304
Cube (n³)
1,024,046,205,751,185,408
Divisor count
80
σ(n) — sum of divisors
2,999,808
φ(n) — Euler's totient
288,640
Sum of prime factors
128

Primality

Prime factorization: 2 4 × 3 × 11 × 23 × 83

Nearest primes: 1,007,939 (−13) · 1,007,957 (+5)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 23 · 24 · 33 · 44 · 46 · 48 · 66 · 69 · 83 · 88 · 92 · 132 · 138 · 166 · 176 · 184 · 249 · 253 · 264 · 276 · 332 · 368 · 498 · 506 · 528 · 552 · 664 · 759 · 913 · 996 · 1012 · 1104 · 1328 · 1518 · 1826 · 1909 · 1992 · 2024 · 2739 · 3036 · 3652 · 3818 · 3984 · 4048 · 5478 · 5727 · 6072 · 7304 · 7636 · 10956 · 11454 · 12144 · 14608 · 15272 · 20999 · 21912 · 22908 · 30544 · 41998 · 43824 · 45816 · 62997 · 83996 · 91632 · 125994 · 167992 · 251988 · 335984 · 503976 (half) · 1007952
Aliquot sum (sum of proper divisors): 1,991,856
Factor pairs (a × b = 1,007,952)
1 × 1007952
2 × 503976
3 × 335984
4 × 251988
6 × 167992
8 × 125994
11 × 91632
12 × 83996
16 × 62997
22 × 45816
23 × 43824
24 × 41998
33 × 30544
44 × 22908
46 × 21912
48 × 20999
66 × 15272
69 × 14608
83 × 12144
88 × 11454
92 × 10956
132 × 7636
138 × 7304
166 × 6072
176 × 5727
184 × 5478
249 × 4048
253 × 3984
264 × 3818
276 × 3652
332 × 3036
368 × 2739
498 × 2024
506 × 1992
528 × 1909
552 × 1826
664 × 1518
759 × 1328
913 × 1104
996 × 1012
First multiples
1,007,952 · 2,015,904 (double) · 3,023,856 · 4,031,808 · 5,039,760 · 6,047,712 · 7,055,664 · 8,063,616 · 9,071,568 · 10,079,520

Sums & aliquot sequence

As consecutive integers: 335,983 + 335,984 + 335,985 91,627 + 91,628 + … + 91,637 43,813 + 43,814 + … + 43,835 31,483 + 31,484 + … + 31,514
Aliquot sequence: 1,007,952 1,991,856 3,458,688 5,729,472 14,082,528 25,063,152 41,194,512 74,093,310 132,800,130 213,050,934 248,559,462 304,953,498 378,368,592 825,679,344 1,639,520,016 2,659,130,448 4,757,853,168 — unresolved within range

Continued fraction of √n

√1,007,952 = [1003; (1, 30, 2, 1, 2, 30, 1, 2006)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand nine hundred fifty-two
Ordinal
1007952nd
Binary
11110110000101010000
Octal
3660520
Hexadecimal
0xF6150
Base64
D2FQ
One's complement
4,293,959,343 (32-bit)
Scientific notation
1.007952 × 10⁶
As a duration
1,007,952 s = 11 days, 15 hours, 59 minutes, 12 seconds
In other bases
ternary (3) 1220012122120
quaternary (4) 3312011100
quinary (5) 224223302
senary (6) 33334240
septenary (7) 11365431
nonary (9) 1805576
undecimal (11) 629320
duodecimal (12) 407380
tridecimal (13) 293a2a
tetradecimal (14) 1c3488
pentadecimal (15) 14d9bc

As an angle

1,007,952° = 2,799 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬七千九百五十二
Chinese (financial)
壹佰萬柒仟玖佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٠٧٩٥٢ Devanagari १००७९५२ Bengali ১০০৭৯৫২ Tamil ௧௦௦௭௯௫௨ Thai ๑๐๐๗๙๕๒ Tibetan ༡༠༠༧༩༥༢ Khmer ១០០៧៩៥២ Lao ໑໐໐໗໙໕໒ Burmese ၁၀၀၇၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007952, here are decompositions:

  • 13 + 1007939 = 1007952
  • 19 + 1007933 = 1007952
  • 31 + 1007921 = 1007952
  • 61 + 1007891 = 1007952
  • 79 + 1007873 = 1007952
  • 139 + 1007813 = 1007952
  • 151 + 1007801 = 1007952
  • 163 + 1007789 = 1007952

Showing the first eight; more decompositions exist.

Hex color
#0F6150
RGB(15, 97, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.80.

Address
0.15.97.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.97.80

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 1,007,952 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°.