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1,007,144

1,007,144 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.).

1,007,144 (one million seven thousand one hundred forty-four) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 67 × 1,879. Written other ways, in hexadecimal, 0xF5E28.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
4,417,001
Square (n²)
1,014,339,036,736
Cube (n³)
1,021,585,474,814,441,984
Divisor count
16
σ(n) — sum of divisors
1,917,600
φ(n) — Euler's totient
495,792
Sum of prime factors
1,952

Primality

Prime factorization: 2 3 × 67 × 1879

Nearest primes: 1,007,137 (−7) · 1,007,161 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 67 · 134 · 268 · 536 · 1879 · 3758 · 7516 · 15032 · 125893 · 251786 · 503572 (half) · 1007144
Aliquot sum (sum of proper divisors): 910,456
Factor pairs (a × b = 1,007,144)
1 × 1007144
2 × 503572
4 × 251786
8 × 125893
67 × 15032
134 × 7516
268 × 3758
536 × 1879
First multiples
1,007,144 · 2,014,288 (double) · 3,021,432 · 4,028,576 · 5,035,720 · 6,042,864 · 7,050,008 · 8,057,152 · 9,064,296 · 10,071,440

Sums & aliquot sequence

As consecutive integers: 62,939 + 62,940 + … + 62,954 14,999 + 15,000 + … + 15,065 404 + 405 + … + 1,475
Aliquot sequence: 1,007,144 910,456 821,144 718,516 545,516 409,144 364,856 331,744 415,184 590,704 553,816 513,224 449,086 296,114 250,894 179,234 114,094 — unresolved within range

Continued fraction of √n

√1,007,144 = [1003; (1, 1, 3, 3, 4, 7, 2, 1, 12, 1, 1, 10, 6, 2, 1, 3, 1, 2, 2, 2, 1, 4, 1, 5, …)]

Representations

In words
one million seven thousand one hundred forty-four
Ordinal
1007144th
Binary
11110101111000101000
Octal
3657050
Hexadecimal
0xF5E28
Base64
D14o
One's complement
4,293,960,151 (32-bit)
Scientific notation
1.007144 × 10⁶
As a duration
1,007,144 s = 11 days, 15 hours, 45 minutes, 44 seconds
In other bases
ternary (3) 1220011112122
quaternary (4) 3311320220
quinary (5) 224212034
senary (6) 33330412
septenary (7) 11363165
nonary (9) 1804478
undecimal (11) 628756
duodecimal (12) 406a08
tridecimal (13) 293558
tetradecimal (14) 1c306c
pentadecimal (15) 14d62e

As an angle

1,007,144° = 2,797 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬七千一百四十四
Chinese (financial)
壹佰萬柒仟壹佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٠٧١٤٤ Devanagari १००७१४४ Bengali ১০০৭১৪৪ Tamil ௧௦௦௭௧௪௪ Thai ๑๐๐๗๑๔๔ Tibetan ༡༠༠༧༡༤༤ Khmer ១០០៧១៤៤ Lao ໑໐໐໗໑໔໔ Burmese ၁၀၀၇၁၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007144, here are decompositions:

  • 7 + 1007137 = 1007144
  • 97 + 1007047 = 1007144
  • 157 + 1006987 = 1007144
  • 211 + 1006933 = 1007144
  • 283 + 1006861 = 1007144
  • 433 + 1006711 = 1007144
  • 601 + 1006543 = 1007144
  • 613 + 1006531 = 1007144

Showing the first eight; more decompositions exist.

Hex color
#0F5E28
RGB(15, 94, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.40.

Address
0.15.94.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.40

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 1,007,144 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1007144 first appears in π at position 532,981 of the decimal expansion (the 532,981ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.