Live analysis

1,042,132

1,042,132 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.).

1,042,132 (one million forty-two thousand one hundred thirty-two) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 13 × 409. Its proper divisors sum to 1,248,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE6D4.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,042,120 1,042,121 1,042,122 1,042,123 1,042,124 1,042,125 1,042,126 1,042,127 1,042,128 1,042,129 1,042,130 1,042,131 1,042,132 1,042,133 1,042,134 1,042,135 1,042,136 1,042,137 1,042,138 1,042,139 1,042,140 1,042,141 1,042,142 1,042,143 1,042,144

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,312,401
Square (n²): 1,086,039,105,424
Cube (n³): 1,131,796,105,013,723,968
Divisor count: 36
σ(n) — sum of divisors: 2,290,260
φ(n) — Euler's totient: 411,264
Sum of prime factors: 440

Primality

Prime factorization: 2 ² × 7 ² × 13 × 409

Nearest primes: 1,042,123 (−9) · 1,042,133 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 13 · 14 · 26 · 28 · 49 · 52 · 91 · 98 · 182 · 196 · 364 · 409 · 637 · 818 · 1274 · 1636 · 2548 · 2863 · 5317 · 5726 · 10634 · 11452 · 20041 · 21268 · 37219 · 40082 · 74438 · 80164 · 148876 · 260533 · 521066 (half) · 1042132

Aliquot sum (sum of proper divisors): 1,248,128

Factor pairs (a × b = 1,042,132)

1 × 1042132

2 × 521066

4 × 260533

7 × 148876

13 × 80164

14 × 74438

26 × 40082

28 × 37219

49 × 21268

52 × 20041

91 × 11452

98 × 10634

182 × 5726

196 × 5317

364 × 2863

409 × 2548

637 × 1636

818 × 1274

First multiples

1,042,132 · 2,084,264 (double) · 3,126,396 · 4,168,528 · 5,210,660 · 6,252,792 · 7,294,924 · 8,337,056 · 9,379,188 · 10,421,320

Sums & aliquot sequence

As a sum of two squares: 434² + 924² = 686² + 756²

As consecutive integers: 148,873 + 148,874 + … + 148,879 130,263 + 130,264 + … + 130,270 80,158 + 80,159 + … + 80,170 21,244 + 21,245 + … + 21,292

Aliquot sequence: 1,042,132 → 1,248,128 → 1,658,872 → 1,552,328 → 1,406,932 → 1,055,206 → 527,606 → 263,806 → 155,234 → 77,620 → 85,424 → 89,416 → 78,254 → 49,834 → 24,920 → 39,880 → 49,940 — unresolved within range

Continued fraction of √n

√1,042,132 = [1020; (1, 5, 1, 1, 1, 1, 4, 2, 4, 3, 1, 1, 1, 2, 1, 4, 1, 4, 1, 1, 1, 5, 2, 2, …)]

Representations

In words: one million forty-two thousand one hundred thirty-two
Ordinal: 1042132nd
Binary: 11111110011011010100
Octal: 3763324
Hexadecimal: 0xFE6D4
Base64: D+bU
One's complement: 4,293,925,163 (32-bit)
Scientific notation: 1.042132 × 10⁶
As a duration: 1,042,132 s = 12 days, 1 hour, 28 minutes, 52 seconds

In other bases

ternary (3) 1221221112111

quaternary (4) 3332123110

quinary (5) 231322012

senary (6) 34200404

septenary (7) 11600200

nonary (9) 1857474

undecimal (11) 651a73

duodecimal (12) 423104

tridecimal (13) 2a6460

tetradecimal (14) 1d1b00

pentadecimal (15) 158ba7

As an angle

1,042,132° = 2,894 × 360° + 292°

292° ≈ 5.096 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零四萬二千一百三十二
Chinese (financial): 壹佰零肆萬貳仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٠٤٢١٣٢ Devanagari १०४२१३२ Bengali ১০৪২১৩২ Tamil ௧௦௪௨௧௩௨ Thai ๑๐๔๒๑๓๒ Tibetan ༡༠༤༢༡༣༢ Khmer ១០៤២១៣២ Lao ໑໐໔໒໑໓໒ Burmese ၁၀၄၂၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042132, here are decompositions:

11 + 1042121 = 1042132
23 + 1042109 = 1042132
29 + 1042103 = 1042132
41 + 1042091 = 1042132
89 + 1042043 = 1042132
131 + 1042001 = 1042132
149 + 1041983 = 1042132
239 + 1041893 = 1042132

Showing the first eight; more decompositions exist.

Hex color

#0FE6D4

RGB(15, 230, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.230.212.

Address: 0.15.230.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.230.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 2132 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2132-04-01 (DMMYYYY (Euro, single-digit day))
2132-10-04 (MMDYYYY (US, single-digit day))
2132-04-10 (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 1,042,132 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 US1,042,132 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1042132 first appears in π at position 248,961 of the decimal expansion (the 248,961ordinal-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.

Look up 1042132 on Pi Search ↗