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1,042,733

1,042,733 is a prime, odd.

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.).

1,042,733 (one million forty-two thousand seven hundred thirty-three) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFE92D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
3,372,401
Square (n²)
1,087,292,109,289
Cube (n³)
1,133,755,362,995,246,837
Divisor count
2
σ(n) — sum of divisors
1,042,734
φ(n) — Euler's totient
1,042,732

Primality

1,042,733 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1042733
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,042,733)
1 × 1042733
First multiples
1,042,733 · 2,085,466 (double) · 3,128,199 · 4,170,932 · 5,213,665 · 6,256,398 · 7,299,131 · 8,341,864 · 9,384,597 · 10,427,330

Sums & aliquot sequence

As a sum of two squares: 382² + 947²
As consecutive integers: 521,366 + 521,367

Continued fraction of √n

√1,042,733 = [1021; (6, 1, 156, 4, 7, 2, 1, 11, 2, 2, 12, 20, 7, 7, 13, 2, 1, 1, 2, 13, 7, 7, 20, 12, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand seven hundred thirty-three
Ordinal
1042733rd
Binary
11111110100100101101
Octal
3764455
Hexadecimal
0xFE92D
Base64
D+kt
One's complement
4,293,924,562 (32-bit)
Scientific notation
1.042733 × 10⁶
As a duration
1,042,733 s = 12 days, 1 hour, 38 minutes, 53 seconds
In other bases
ternary (3) 1221222100202
quaternary (4) 3332210231
quinary (5) 231331413
senary (6) 34203245
septenary (7) 11602016
nonary (9) 1858322
undecimal (11) 65246a
duodecimal (12) 423525
tridecimal (13) 2a6803
tetradecimal (14) 1d200d
pentadecimal (15) 158e58

As an angle

1,042,733° = 2,896 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Chinese
一百零四萬二千七百三十三
Chinese (financial)
壹佰零肆萬貳仟柒佰參拾參
In other modern scripts
Eastern Arabic ١٠٤٢٧٣٣ Devanagari १०४२७३३ Bengali ১০৪২৭৩৩ Tamil ௧௦௪௨௭௩௩ Thai ๑๐๔๒๗๓๓ Tibetan ༡༠༤༢༧༣༣ Khmer ១០៤២៧៣៣ Lao ໑໐໔໒໗໓໓ Burmese ၁၀၄၂၇၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0FE92D
RGB(15, 233, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.233.45.

Address
0.15.233.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.233.45

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 2733 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2733-04-01 (DMMYYYY (Euro, single-digit day))
  • 2733-10-04 (MMDYYYY (US, single-digit day))
  • 2733-04-10 (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 1,042,733 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 1042733 first appears in π at position 968,469 of the decimal expansion (the 968,469ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.