Live analysis

1,001,042

1,001,042 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.).

1,001,042 (one million one thousand forty-two) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 71,503. Written other ways, in hexadecimal, 0xF4652.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,030 1,001,031 1,001,032 1,001,033 1,001,034 1,001,035 1,001,036 1,001,037 1,001,038 1,001,039 1,001,040 1,001,041 1,001,042 1,001,043 1,001,044 1,001,045 1,001,046 1,001,047 1,001,048 1,001,049 1,001,050 1,001,051 1,001,052 1,001,053 1,001,054

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 2,401,001
Square (n²): 1,002,085,085,764
Cube (n³): 1,003,129,258,423,366,088
Divisor count: 8
σ(n) — sum of divisors: 1,716,096
φ(n) — Euler's totient: 429,012
Sum of prime factors: 71,512

Primality

Prime factorization: 2 × 7 × 71503

Nearest primes: 1,001,041 (−1) · 1,001,069 (+27)

Divisors & multiples

All divisors (8)

1 · 2 · 7 · 14 · 71503 · 143006 · 500521 (half) · 1001042

Aliquot sum (sum of proper divisors): 715,054

Factor pairs (a × b = 1,001,042)

1 × 1001042

2 × 500521

7 × 143006

14 × 71503

First multiples

1,001,042 · 2,002,084 (double) · 3,003,126 · 4,004,168 · 5,005,210 · 6,006,252 · 7,007,294 · 8,008,336 · 9,009,378 · 10,010,420

Sums & aliquot sequence

As consecutive integers: 250,259 + 250,260 + 250,261 + 250,262 143,003 + 143,004 + … + 143,009 35,738 + 35,739 + … + 35,765

Aliquot sequence: 1,001,042 → 715,054 → 420,674 → 232,186 → 136,634 → 72,346 → 38,138 → 19,072 → 19,178 → 10,390 → 8,330 → 10,138 → 5,594 → 2,800 → 4,888 → 5,192 → 5,608 — unresolved within range

Continued fraction of √n

√1,001,042 = [1000; (1, 1, 11, 2, 13, 1, 1, 17, 5, 3, 1, 86, 4, 6, 42, 2, 2, 2, 4, 1, 4, 4, 1, 2, …)]

Representations

In words: one million one thousand forty-two
Ordinal: 1001042nd
Binary: 11110100011001010010
Octal: 3643122
Hexadecimal: 0xF4652
Base64: D0ZS
One's complement: 4,293,966,253 (32-bit)
Scientific notation: 1.001042 × 10⁶
As a duration: 1,001,042 s = 11 days, 14 hours, 4 minutes, 2 seconds

In other bases

ternary (3) 1212212011122

quaternary (4) 3310121102

quinary (5) 224013132

senary (6) 33242242

septenary (7) 11336330

nonary (9) 1785148

undecimal (11) 624109

duodecimal (12) 403382

tridecimal (13) 290843

tetradecimal (14) 1c0b50

pentadecimal (15) 14b912

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千零四十二
Chinese (financial): 壹佰萬壹仟零肆拾貳

In other modern scripts

Eastern Arabic ١٠٠١٠٤٢ Devanagari १००१०४२ Bengali ১০০১০৪২ Tamil ௧௦௦௧௦௪௨ Thai ๑๐๐๑๐๔๒ Tibetan ༡༠༠༡༠༤༢ Khmer ១០០១០៤២ Lao ໑໐໐໑໐໔໒ Burmese ၁၀၀၁၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001042, here are decompositions:

19 + 1001023 = 1001042
43 + 1000999 = 1001042
61 + 1000981 = 1001042
73 + 1000969 = 1001042
181 + 1000861 = 1001042
193 + 1000849 = 1001042
373 + 1000669 = 1001042
421 + 1000621 = 1001042

Showing the first eight; more decompositions exist.

Hex color

#0F4652

RGB(15, 70, 82)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.82.

Address: 0.15.70.82
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.82

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 1,001,042 and was likely granted around 1911.

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

Look up US1,001,042 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001042 first appears in π at position 754,954 of the decimal expansion (the 754,954ordinal-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 1001042 on Pi Search ↗