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1,007,552

1,007,552 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.).

1,007,552 (one million seven thousand five hundred fifty-two) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 7 × 13 × 173. Its proper divisors sum to 1,467,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5FC0.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
2,557,001
Recamán's sequence
a(350,347) = 1,007,552
Square (n²)
1,015,161,032,704
Cube (n³)
1,022,827,528,822,980,608
Divisor count
56
σ(n) — sum of divisors
2,474,976
φ(n) — Euler's totient
396,288
Sum of prime factors
205

Primality

Prime factorization: 2 6 × 7 × 13 × 173

Nearest primes: 1,007,549 (−3) · 1,007,557 (+5)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 52 · 56 · 64 · 91 · 104 · 112 · 173 · 182 · 208 · 224 · 346 · 364 · 416 · 448 · 692 · 728 · 832 · 1211 · 1384 · 1456 · 2249 · 2422 · 2768 · 2912 · 4498 · 4844 · 5536 · 5824 · 8996 · 9688 · 11072 · 15743 · 17992 · 19376 · 31486 · 35984 · 38752 · 62972 · 71968 · 77504 · 125944 · 143936 · 251888 · 503776 (half) · 1007552
Aliquot sum (sum of proper divisors): 1,467,424
Factor pairs (a × b = 1,007,552)
1 × 1007552
2 × 503776
4 × 251888
7 × 143936
8 × 125944
13 × 77504
14 × 71968
16 × 62972
26 × 38752
28 × 35984
32 × 31486
52 × 19376
56 × 17992
64 × 15743
91 × 11072
104 × 9688
112 × 8996
173 × 5824
182 × 5536
208 × 4844
224 × 4498
346 × 2912
364 × 2768
416 × 2422
448 × 2249
692 × 1456
728 × 1384
832 × 1211
First multiples
1,007,552 · 2,015,104 (double) · 3,022,656 · 4,030,208 · 5,037,760 · 6,045,312 · 7,052,864 · 8,060,416 · 9,067,968 · 10,075,520

Sums & aliquot sequence

As consecutive integers: 143,933 + 143,934 + … + 143,939 77,498 + 77,499 + … + 77,510 11,027 + 11,028 + … + 11,117 7,808 + 7,809 + … + 7,935
Aliquot sequence: 1,007,552 1,467,424 1,834,784 2,293,984 3,754,016 4,693,024 6,467,804 6,699,196 6,902,980 9,664,508 11,033,092 11,033,148 21,079,492 22,221,052 22,977,668 24,615,052 30,441,404 — unresolved within range

Continued fraction of √n

√1,007,552 = [1003; (1, 3, 3, 17, 2, 5, 2, 8, 6, 2, 1, 30, 1, 2, 6, 8, 2, 5, 2, 17, 3, 3, 1, 2006)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand five hundred fifty-two
Ordinal
1007552nd
Binary
11110101111111000000
Octal
3657700
Hexadecimal
0xF5FC0
Base64
D1/A
One's complement
4,293,959,743 (32-bit)
Scientific notation
1.007552 × 10⁶
As a duration
1,007,552 s = 11 days, 15 hours, 52 minutes, 32 seconds
In other bases
ternary (3) 1220012002202
quaternary (4) 3311333000
quinary (5) 224220202
senary (6) 33332332
septenary (7) 11364320
nonary (9) 1805082
undecimal (11) 628a97
duodecimal (12) 4070a8
tridecimal (13) 2937b0
tetradecimal (14) 1c3280
pentadecimal (15) 14d802

As an angle

1,007,552° = 2,798 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬七千五百五十二
Chinese (financial)
壹佰萬柒仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٠٧٥٥٢ Devanagari १००७५५२ Bengali ১০০৭৫৫২ Tamil ௧௦௦௭௫௫௨ Thai ๑๐๐๗๕๕๒ Tibetan ༡༠༠༧༥༥༢ Khmer ១០០៧៥៥២ Lao ໑໐໐໗໕໕໒ Burmese ၁၀၀၇၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007552, here are decompositions:

  • 3 + 1007549 = 1007552
  • 151 + 1007401 = 1007552
  • 193 + 1007359 = 1007552
  • 199 + 1007353 = 1007552
  • 349 + 1007203 = 1007552
  • 373 + 1007179 = 1007552
  • 379 + 1007173 = 1007552
  • 433 + 1007119 = 1007552

Showing the first eight; more decompositions exist.

Hex color
#0F5FC0
RGB(15, 95, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.95.192.

Address
0.15.95.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.95.192

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 1,007,552 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°.