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1,012,500

1,012,500 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.).

1,012,500 (one million twelve thousand five hundred) is an even 7-digit number. It is a composite number with 90 divisors, and factors as 2² × 3⁴ × 5⁵. Its proper divisors sum to 2,295,882, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7314.

Abundant Number Achilles Number Frugal Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
52,101
Square (n²)
1,025,156,250,000
Cube (n³)
1,037,970,703,125,000,000
Divisor count
90
σ(n) — sum of divisors
3,308,382
φ(n) — Euler's totient
270,000
Sum of prime factors
41

Primality

Prime factorization: 2 2 × 3 4 × 5 5

Nearest primes: 1,012,489 (−11) · 1,012,507 (+7)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 25 · 27 · 30 · 36 · 45 · 50 · 54 · 60 · 75 · 81 · 90 · 100 · 108 · 125 · 135 · 150 · 162 · 180 · 225 · 250 · 270 · 300 · 324 · 375 · 405 · 450 · 500 · 540 · 625 · 675 · 750 · 810 · 900 · 1125 · 1250 · 1350 · 1500 · 1620 · 1875 · 2025 · 2250 · 2500 · 2700 · 3125 · 3375 · 3750 · 4050 · 4500 · 5625 · 6250 · 6750 · 7500 · 8100 · 9375 · 10125 · 11250 · 12500 · 13500 · 16875 · 18750 · 20250 · 22500 · 28125 · 33750 · 37500 · 40500 · 50625 · 56250 · 67500 · 84375 · 101250 · 112500 · 168750 · 202500 · 253125 · 337500 · 506250 (half) · 1012500
Aliquot sum (sum of proper divisors): 2,295,882
Factor pairs (a × b = 1,012,500)
1 × 1012500
2 × 506250
3 × 337500
4 × 253125
5 × 202500
6 × 168750
9 × 112500
10 × 101250
12 × 84375
15 × 67500
18 × 56250
20 × 50625
25 × 40500
27 × 37500
30 × 33750
36 × 28125
45 × 22500
50 × 20250
54 × 18750
60 × 16875
75 × 13500
81 × 12500
90 × 11250
100 × 10125
108 × 9375
125 × 8100
135 × 7500
150 × 6750
162 × 6250
180 × 5625
225 × 4500
250 × 4050
270 × 3750
300 × 3375
324 × 3125
375 × 2700
405 × 2500
450 × 2250
500 × 2025
540 × 1875
625 × 1620
675 × 1500
750 × 1350
810 × 1250
900 × 1125
First multiples
1,012,500 · 2,025,000 (double) · 3,037,500 · 4,050,000 · 5,062,500 · 6,075,000 · 7,087,500 · 8,100,000 · 9,112,500 · 10,125,000

Sums & aliquot sequence

As a sum of two squares: 180² + 990² = 450² + 900² = 684² + 738²
As consecutive integers: 337,499 + 337,500 + 337,501 202,498 + 202,499 + 202,500 + 202,501 + 202,502 126,559 + 126,560 + … + 126,566 112,496 + 112,497 + … + 112,504
Aliquot sequence: 1,012,500 2,295,882 2,678,568 4,060,632 6,238,248 9,896,952 16,749,528 25,124,352 47,942,400 125,421,504 236,010,336 392,307,816 588,461,784 890,922,216 1,336,383,384 2,541,248,616 3,892,296,984 — unresolved within range

Continued fraction of √n

√1,012,500 = [1006; (4, 2, 1, 32, 3, 2, 1, 8, 11, 3, 7, 1, 2, 3, 1, 2, 2, 4, 2, 80, 20, 3, 5, 1, …)]

Representations

In words
one million twelve thousand five hundred
Ordinal
1012500th
Binary
11110111001100010100
Octal
3671424
Hexadecimal
0xF7314
Base64
D3MU
One's complement
4,293,954,795 (32-bit)
Scientific notation
1.0125 × 10⁶
As a duration
1,012,500 s = 11 days, 17 hours, 15 minutes
In other bases
ternary (3) 1220102220000
quaternary (4) 3313030110
quinary (5) 224400000
senary (6) 33411300
septenary (7) 11414616
nonary (9) 1812800
undecimal (11) 631785
duodecimal (12) 409b30
tridecimal (13) 295b18
tetradecimal (14) 1c4db6
pentadecimal (15) 150000

As an angle

1,012,500° = 2,812 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese
一百零一萬二千五百
Chinese (financial)
壹佰零壹萬貳仟伍佰
In other modern scripts
Eastern Arabic ١٠١٢٥٠٠ Devanagari १०१२५०० Bengali ১০১২৫০০ Tamil ௧௦௧௨௫௦௦ Thai ๑๐๑๒๕๐๐ Tibetan ༡༠༡༢༥༠༠ Khmer ១០១២៥០០ Lao ໑໐໑໒໕໐໐ Burmese ၁၀၁၂၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012500, here are decompositions:

  • 11 + 1012489 = 1012500
  • 19 + 1012481 = 1012500
  • 37 + 1012463 = 1012500
  • 43 + 1012457 = 1012500
  • 53 + 1012447 = 1012500
  • 61 + 1012439 = 1012500
  • 67 + 1012433 = 1012500
  • 79 + 1012421 = 1012500

Showing the first eight; more decompositions exist.

Hex color
#0F7314
RGB(15, 115, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.20.

Address
0.15.115.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.115.20

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 2500 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2500-10-01 (MMDYYYY (US, single-digit day))
  • 2500-01-10 (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 1,012,500 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°.