number.wiki
Live analysis

1,042,972

1,042,972 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.).

1,042,972 (one million forty-two thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 7 × 193². Its proper divisors sum to 1,053,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFEA1C.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
2,792,401
Square (n²)
1,087,790,592,784
Cube (n³)
1,134,535,130,137,114,048
Divisor count
18
σ(n) — sum of divisors
2,096,808
φ(n) — Euler's totient
444,672
Sum of prime factors
397

Primality

Prime factorization: 2 2 × 7 × 193 2

Nearest primes: 1,042,961 (−11) · 1,042,997 (+25)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 193 · 386 · 772 · 1351 · 2702 · 5404 · 37249 · 74498 · 148996 · 260743 · 521486 (half) · 1042972
Aliquot sum (sum of proper divisors): 1,053,836
Factor pairs (a × b = 1,042,972)
1 × 1042972
2 × 521486
4 × 260743
7 × 148996
14 × 74498
28 × 37249
193 × 5404
386 × 2702
772 × 1351
First multiples
1,042,972 · 2,085,944 (double) · 3,128,916 · 4,171,888 · 5,214,860 · 6,257,832 · 7,300,804 · 8,343,776 · 9,386,748 · 10,429,720

Sums & aliquot sequence

As consecutive integers: 148,993 + 148,994 + … + 148,999 130,368 + 130,369 + … + 130,375 18,597 + 18,598 + … + 18,652 5,308 + 5,309 + … + 5,500
Aliquot sequence: 1,042,972 1,053,836 1,091,860 1,770,860 2,921,380 4,892,636 4,892,692 4,953,452 5,475,988 5,537,644 5,537,700 14,877,660 32,732,196 56,113,932 95,589,620 136,223,500 203,799,092 — unresolved within range

Continued fraction of √n

√1,042,972 = [1021; (3, 1, 5, 2, 65, 2, 2, 1, 23, 1, 8, 2, 72, 2, 8, 1, 23, 1, 2, 2, 65, 2, 5, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand nine hundred seventy-two
Ordinal
1042972nd
Binary
11111110101000011100
Octal
3765034
Hexadecimal
0xFEA1C
Base64
D+oc
One's complement
4,293,924,323 (32-bit)
Scientific notation
1.042972 × 10⁶
As a duration
1,042,972 s = 12 days, 1 hour, 42 minutes, 52 seconds
In other bases
ternary (3) 1221222200121
quaternary (4) 3332220130
quinary (5) 231333342
senary (6) 34204324
septenary (7) 11602510
nonary (9) 1858617
undecimal (11) 652667
duodecimal (12) 4236a4
tridecimal (13) 2a6958
tetradecimal (14) 1d2140
pentadecimal (15) 159067

As an angle

1,042,972° = 2,897 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬二千九百七十二
Chinese (financial)
壹佰零肆萬貳仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٤٢٩٧٢ Devanagari १०४२९७२ Bengali ১০৪২৯৭২ Tamil ௧௦௪௨௯௭௨ Thai ๑๐๔๒๙๗๒ Tibetan ༡༠༤༢༩༧༢ Khmer ១០៤២៩៧២ Lao ໑໐໔໒໙໗໒ Burmese ၁၀၄၂၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042972, here are decompositions:

  • 11 + 1042961 = 1042972
  • 23 + 1042949 = 1042972
  • 41 + 1042931 = 1042972
  • 71 + 1042901 = 1042972
  • 173 + 1042799 = 1042972
  • 191 + 1042781 = 1042972
  • 239 + 1042733 = 1042972
  • 263 + 1042709 = 1042972

Showing the first eight; more decompositions exist.

Hex color
#0FEA1C
RGB(15, 234, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.234.28.

Address
0.15.234.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.234.28

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 2972 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2972-04-01 (DMMYYYY (Euro, single-digit day))
  • 2972-10-04 (MMDYYYY (US, single-digit day))
  • 2972-04-10 (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 1,042,972 and was likely granted around 1912.

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

Position in π

The digit sequence 1042972 first appears in π at position 528,900 of the decimal expansion (the 528,900ordinal-suffix:th 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°.