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1,015,144

1,015,144 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.).

1,015,144 (one million fifteen thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 43 × 227. Its proper divisors sum to 1,091,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7D68.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
4,415,101
Recamán's sequence
a(364,579) = 1,015,144
Square (n²)
1,030,517,340,736
Cube (n³)
1,046,123,495,344,105,984
Divisor count
32
σ(n) — sum of divisors
2,106,720
φ(n) — Euler's totient
455,616
Sum of prime factors
289

Primality

Prime factorization: 2 3 × 13 × 43 × 227

Nearest primes: 1,015,139 (−5) · 1,015,159 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 26 · 43 · 52 · 86 · 104 · 172 · 227 · 344 · 454 · 559 · 908 · 1118 · 1816 · 2236 · 2951 · 4472 · 5902 · 9761 · 11804 · 19522 · 23608 · 39044 · 78088 · 126893 · 253786 · 507572 (half) · 1015144
Aliquot sum (sum of proper divisors): 1,091,576
Factor pairs (a × b = 1,015,144)
1 × 1015144
2 × 507572
4 × 253786
8 × 126893
13 × 78088
26 × 39044
43 × 23608
52 × 19522
86 × 11804
104 × 9761
172 × 5902
227 × 4472
344 × 2951
454 × 2236
559 × 1816
908 × 1118
First multiples
1,015,144 · 2,030,288 (double) · 3,045,432 · 4,060,576 · 5,075,720 · 6,090,864 · 7,106,008 · 8,121,152 · 9,136,296 · 10,151,440

Sums & aliquot sequence

As consecutive integers: 78,082 + 78,083 + … + 78,094 63,439 + 63,440 + … + 63,454 23,587 + 23,588 + … + 23,629 4,777 + 4,778 + … + 4,984
Aliquot sequence: 1,015,144 1,091,576 955,144 988,856 1,156,024 1,038,896 1,044,304 979,066 638,342 360,874 180,440 258,040 322,640 454,840 588,440 768,040 1,368,920 — unresolved within range

Continued fraction of √n

√1,015,144 = [1007; (1, 1, 5, 4, 6, 1, 1, 2, 4, 2, 2, 10, 2, 15, 6, 1, 22, 24, 1, 5, 51, 1, 1, 223, …)]

Representations

In words
one million fifteen thousand one hundred forty-four
Ordinal
1015144th
Binary
11110111110101101000
Octal
3676550
Hexadecimal
0xF7D68
Base64
D31o
One's complement
4,293,952,151 (32-bit)
Scientific notation
1.015144 × 10⁶
As a duration
1,015,144 s = 11 days, 17 hours, 59 minutes, 4 seconds
In other bases
ternary (3) 1220120111221
quaternary (4) 3313311220
quinary (5) 224441034
senary (6) 33431424
septenary (7) 11425414
nonary (9) 1816457
undecimal (11) 633769
duodecimal (12) 40b574
tridecimal (13) 2970a0
tetradecimal (14) 1c5d44
pentadecimal (15) 150bb4

As an angle

1,015,144° = 2,819 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬五千一百四十四
Chinese (financial)
壹佰零壹萬伍仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠١٥١٤٤ Devanagari १०१५१४४ Bengali ১০১৫১৪৪ Tamil ௧௦௧௫௧௪௪ Thai ๑๐๑๕๑๔๔ Tibetan ༡༠༡༥༡༤༤ Khmer ១០១៥១៤៤ Lao ໑໐໑໕໑໔໔ Burmese ၁၀၁၅၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1015144, here are decompositions:

  • 5 + 1015139 = 1015144
  • 17 + 1015127 = 1015144
  • 47 + 1015097 = 1015144
  • 71 + 1015073 = 1015144
  • 83 + 1015061 = 1015144
  • 101 + 1015043 = 1015144
  • 191 + 1014953 = 1015144
  • 257 + 1014887 = 1015144

Showing the first eight; more decompositions exist.

Hex color
#0F7D68
RGB(15, 125, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.125.104.

Address
0.15.125.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.125.104

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 5144 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 5144-10-01 (MMDYYYY (US, single-digit day))
  • 5144-01-10 (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 1,015,144 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°.