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1,017,152

1,017,152 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.).

1,017,152 (one million seventeen thousand one hundred fifty-two) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 23 × 691. Its proper divisors sum to 1,092,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8540.

Abundant Number Evil Number Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
2,517,101
Square (n²)
1,034,598,191,104
Cube (n³)
1,052,343,619,277,815,808
Divisor count
28
σ(n) — sum of divisors
2,109,216
φ(n) — Euler's totient
485,760
Sum of prime factors
726

Primality

Prime factorization: 2 6 × 23 × 691

Nearest primes: 1,017,139 (−13) · 1,017,157 (+5)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 64 · 92 · 184 · 368 · 691 · 736 · 1382 · 1472 · 2764 · 5528 · 11056 · 15893 · 22112 · 31786 · 44224 · 63572 · 127144 · 254288 · 508576 (half) · 1017152
Aliquot sum (sum of proper divisors): 1,092,064
Factor pairs (a × b = 1,017,152)
1 × 1017152
2 × 508576
4 × 254288
8 × 127144
16 × 63572
23 × 44224
32 × 31786
46 × 22112
64 × 15893
92 × 11056
184 × 5528
368 × 2764
691 × 1472
736 × 1382
First multiples
1,017,152 · 2,034,304 (double) · 3,051,456 · 4,068,608 · 5,085,760 · 6,102,912 · 7,120,064 · 8,137,216 · 9,154,368 · 10,171,520

Sums & aliquot sequence

As consecutive integers: 44,213 + 44,214 + … + 44,235 7,883 + 7,884 + … + 8,010 1,127 + 1,128 + … + 1,817
Aliquot sequence: 1,017,152 1,092,064 1,058,000 1,616,308 1,350,124 1,139,636 903,664 847,216 794,296 730,304 719,020 790,964 593,230 571,874 285,940 372,536 325,984 — unresolved within range

Continued fraction of √n

√1,017,152 = [1008; (1, 1, 5, 1, 4, 1, 1, 1, 5, 1, 86, 1, 5, 1, 1, 1, 4, 1, 5, 1, 1, 2016)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one million seventeen thousand one hundred fifty-two
Ordinal
1017152nd
Binary
11111000010101000000
Octal
3702500
Hexadecimal
0xF8540
Base64
D4VA
One's complement
4,293,950,143 (32-bit)
Scientific notation
1.017152 × 10⁶
As a duration
1,017,152 s = 11 days, 18 hours, 32 minutes, 32 seconds
In other bases
ternary (3) 1220200021022
quaternary (4) 3320111000
quinary (5) 230022102
senary (6) 33445012
septenary (7) 11434313
nonary (9) 1820238
undecimal (11) 635224
duodecimal (12) 410768
tridecimal (13) 297c86
tetradecimal (14) 1c697a
pentadecimal (15) 1515a2

As an angle

1,017,152° = 2,825 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零一萬七千一百五十二
Chinese (financial)
壹佰零壹萬柒仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ١٠١٧١٥٢ Devanagari १०१७१५२ Bengali ১০১৭১৫২ Tamil ௧௦௧௭௧௫௨ Thai ๑๐๑๗๑๕๒ Tibetan ༡༠༡༧༡༥༢ Khmer ១០១៧១៥២ Lao ໑໐໑໗໑໕໒ Burmese ၁၀၁၇၁၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017152, here are decompositions:

  • 13 + 1017139 = 1017152
  • 109 + 1017043 = 1017152
  • 181 + 1016971 = 1017152
  • 193 + 1016959 = 1017152
  • 211 + 1016941 = 1017152
  • 223 + 1016929 = 1017152
  • 271 + 1016881 = 1017152
  • 313 + 1016839 = 1017152

Showing the first eight; more decompositions exist.

Hex color
#0F8540
RGB(15, 133, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.133.64.

Address
0.15.133.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.133.64

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 7152 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 7152-10-01 (MMDYYYY (US, single-digit day))
  • 7152-01-10 (DDMYYYY (Euro, single-digit month))
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 1,017,152 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°.