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1,007,142

1,007,142 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.).

1,007,142 (one million seven thousand one hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 229 × 733. Its proper divisors sum to 1,018,698, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E26.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
2,417,001
Square (n²)
1,014,335,008,164
Cube (n³)
1,021,579,388,792,307,288
Divisor count
16
σ(n) — sum of divisors
2,025,840
φ(n) — Euler's totient
333,792
Sum of prime factors
967

Primality

Prime factorization: 2 × 3 × 229 × 733

Nearest primes: 1,007,137 (−5) · 1,007,161 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 229 · 458 · 687 · 733 · 1374 · 1466 · 2199 · 4398 · 167857 · 335714 · 503571 (half) · 1007142
Aliquot sum (sum of proper divisors): 1,018,698
Factor pairs (a × b = 1,007,142)
1 × 1007142
2 × 503571
3 × 335714
6 × 167857
229 × 4398
458 × 2199
687 × 1466
733 × 1374
First multiples
1,007,142 · 2,014,284 (double) · 3,021,426 · 4,028,568 · 5,035,710 · 6,042,852 · 7,049,994 · 8,057,136 · 9,064,278 · 10,071,420

Sums & aliquot sequence

As consecutive integers: 335,713 + 335,714 + 335,715 251,784 + 251,785 + 251,786 + 251,787 83,923 + 83,924 + … + 83,934 4,284 + 4,285 + … + 4,512
Aliquot sequence: 1,007,142 1,018,698 1,018,710 2,437,290 4,638,870 8,569,962 10,633,464 20,470,536 36,392,664 79,728,936 148,729,944 258,070,056 388,374,744 646,697,256 1,040,340,504 1,936,277,736 2,907,198,264 — unresolved within range

Continued fraction of √n

√1,007,142 = [1003; (1, 1, 3, 2, 1, 2, 1, 1, 1, 1, 1, 1, 4, 1, 37, 20, 1, 1, 1, 104, 1, 42, 1, 1, …)]

Representations

In words
one million seven thousand one hundred forty-two
Ordinal
1007142nd
Binary
11110101111000100110
Octal
3657046
Hexadecimal
0xF5E26
Base64
D14m
One's complement
4,293,960,153 (32-bit)
Scientific notation
1.007142 × 10⁶
As a duration
1,007,142 s = 11 days, 15 hours, 45 minutes, 42 seconds
In other bases
ternary (3) 1220011112120
quaternary (4) 3311320212
quinary (5) 224212032
senary (6) 33330410
septenary (7) 11363163
nonary (9) 1804476
undecimal (11) 628754
duodecimal (12) 406a06
tridecimal (13) 293556
tetradecimal (14) 1c306a
pentadecimal (15) 14d62c

As an angle

1,007,142° = 2,797 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百萬七千一百四十二
Chinese (financial)
壹佰萬柒仟壹佰肆拾貳
In other modern scripts
Eastern Arabic ١٠٠٧١٤٢ Devanagari १००७१४२ Bengali ১০০৭১৪২ Tamil ௧௦௦௭௧௪௨ Thai ๑๐๐๗๑๔๒ Tibetan ༡༠༠༧༡༤༢ Khmer ១០០៧១៤២ Lao ໑໐໐໗໑໔໒ Burmese ၁၀၀၇၁၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007142, here are decompositions:

  • 5 + 1007137 = 1007142
  • 13 + 1007129 = 1007142
  • 23 + 1007119 = 1007142
  • 43 + 1007099 = 1007142
  • 53 + 1007089 = 1007142
  • 61 + 1007081 = 1007142
  • 83 + 1007059 = 1007142
  • 151 + 1006991 = 1007142

Showing the first eight; more decompositions exist.

Hex color
#0F5E26
RGB(15, 94, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.38.

Address
0.15.94.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.38

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 1,007,142 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 1007142 first appears in π at position 458,533 of the decimal expansion (the 458,533ordinal-suffix:rd 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°.