Live analysis

1,041,024

1,041,024 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.).

1,041,024 (one million forty-one thousand twenty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 2,711. Its proper divisors sum to 1,725,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE280.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,012 1,041,013 1,041,014 1,041,015 1,041,016 1,041,017 1,041,018 1,041,019 1,041,020 1,041,021 1,041,022 1,041,023 1,041,024 1,041,025 1,041,026 1,041,027 1,041,028 1,041,029 1,041,030 1,041,031 1,041,032 1,041,033 1,041,034 1,041,035 1,041,036

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,201,401
Square (n²): 1,083,730,968,576
Cube (n³): 1,128,189,947,830,861,824
Divisor count: 32
σ(n) — sum of divisors: 2,766,240
φ(n) — Euler's totient: 346,880
Sum of prime factors: 2,728

Primality

Prime factorization: 2 ⁷ × 3 × 2711

Nearest primes: 1,040,989 (−35) · 1,041,041 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 384 · 2711 · 5422 · 8133 · 10844 · 16266 · 21688 · 32532 · 43376 · 65064 · 86752 · 130128 · 173504 · 260256 · 347008 · 520512 (half) · 1041024

Aliquot sum (sum of proper divisors): 1,725,216

Factor pairs (a × b = 1,041,024)

1 × 1041024

2 × 520512

3 × 347008

4 × 260256

6 × 173504

8 × 130128

12 × 86752

16 × 65064

24 × 43376

32 × 32532

48 × 21688

64 × 16266

96 × 10844

128 × 8133

192 × 5422

384 × 2711

First multiples

1,041,024 · 2,082,048 (double) · 3,123,072 · 4,164,096 · 5,205,120 · 6,246,144 · 7,287,168 · 8,328,192 · 9,369,216 · 10,410,240

Sums & aliquot sequence

As consecutive integers: 347,007 + 347,008 + 347,009 3,939 + 3,940 + … + 4,194 972 + 973 + … + 1,739

Aliquot sequence: 1,041,024 → 1,725,216 → 2,803,728 → 4,439,360 → 6,132,628 → 5,156,972 → 3,952,828 → 3,651,580 → 4,016,780 → 4,501,828 → 3,395,964 → 5,917,956 → 9,323,004 → 14,723,844 → 19,702,716 → 32,189,124 → 49,747,164 — unresolved within range

Continued fraction of √n

√1,041,024 = [1020; (3, 3, 1, 2, 2, 2, 1, 1, 2, 7, 1, 4, 4, 1, 1, 7, 1, 10, 1, 1, 1, 4, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million forty-one thousand twenty-four
Ordinal: 1041024th
Binary: 11111110001010000000
Octal: 3761200
Hexadecimal: 0xFE280
Base64: D+KA
One's complement: 4,293,926,271 (32-bit)
Scientific notation: 1.041024 × 10⁶
As a duration: 1,041,024 s = 12 days, 1 hour, 10 minutes, 24 seconds

In other bases

ternary (3) 1221220000110

quaternary (4) 3332022000

quinary (5) 231303044

senary (6) 34151320

septenary (7) 11564025

nonary (9) 1856013

undecimal (11) 651156

duodecimal (12) 422540

tridecimal (13) 2a5aba

tetradecimal (14) 1d154c

pentadecimal (15) 1586b9

Palindromic in base 11

As an angle

1,041,024° = 2,891 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零四萬一千零二十四
Chinese (financial): 壹佰零肆萬壹仟零貳拾肆

In other modern scripts

Eastern Arabic ١٠٤١٠٢٤ Devanagari १०४१०२४ Bengali ১০৪১০২৪ Tamil ௧௦௪௧௦௨௪ Thai ๑๐๔๑๐๒๔ Tibetan ༡༠༤༡༠༢༤ Khmer ១០៤១០២៤ Lao ໑໐໔໑໐໒໔ Burmese ၁၀၄၁၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041024, here are decompositions:

43 + 1040981 = 1041024
73 + 1040951 = 1041024
151 + 1040873 = 1041024
163 + 1040861 = 1041024
167 + 1040857 = 1041024
191 + 1040833 = 1041024
197 + 1040827 = 1041024
211 + 1040813 = 1041024

Showing the first eight; more decompositions exist.

Hex color

#0FE280

RGB(15, 226, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.128.

Address: 0.15.226.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.226.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 4, 1024 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1024-04-01 (DMMYYYY (Euro, single-digit day))
1024-10-04 (MMDYYYY (US, single-digit day))
1024-04-10 (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 1,041,024 and was likely granted around 1912.

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

Look up US1,041,024 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1041024 first appears in π at position 784,935 of the decimal expansion (the 784,935ordinal-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.

Look up 1041024 on Pi Search ↗