Live analysis

1,001,358

1,001,358 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.).

1,001,358 (one million one thousand three hundred fifty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,631. Its proper divisors sum to 1,168,290, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF478E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Moran Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,001,346 1,001,347 1,001,348 1,001,349 1,001,350 1,001,351 1,001,352 1,001,353 1,001,354 1,001,355 1,001,356 1,001,357 1,001,358 1,001,359 1,001,360 1,001,361 1,001,362 1,001,363 1,001,364 1,001,365 1,001,366 1,001,367 1,001,368 1,001,369 1,001,370

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,531,001
Square (n²): 1,002,717,844,164
Cube (n³): 1,004,079,534,996,374,712
Divisor count: 12
σ(n) — sum of divisors: 2,169,648
φ(n) — Euler's totient: 333,780
Sum of prime factors: 55,639

Primality

Prime factorization: 2 × 3 ² × 55631

Nearest primes: 1,001,353 (−5) · 1,001,369 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55631 · 111262 · 166893 · 333786 · 500679 (half) · 1001358

Aliquot sum (sum of proper divisors): 1,168,290

Factor pairs (a × b = 1,001,358)

1 × 1001358

2 × 500679

3 × 333786

6 × 166893

9 × 111262

18 × 55631

First multiples

1,001,358 · 2,002,716 (double) · 3,004,074 · 4,005,432 · 5,006,790 · 6,008,148 · 7,009,506 · 8,010,864 · 9,012,222 · 10,013,580

Sums & aliquot sequence

As consecutive integers: 333,785 + 333,786 + 333,787 250,338 + 250,339 + 250,340 + 250,341 111,258 + 111,259 + … + 111,266 83,441 + 83,442 + … + 83,452

Aliquot sequence: 1,001,358 → 1,168,290 → 1,947,870 → 3,342,402 → 5,148,990 → 11,564,226 → 13,491,636 → 17,988,876 → 27,483,096 → 41,224,704 → 68,604,576 → 111,946,368 → 186,562,752 → 335,742,528 → 647,420,352 → 1,100,132,160 → 2,392,790,496 — unresolved within range

Continued fraction of √n

√1,001,358 = [1000; (1, 2, 8, 1, 5, 1, 1, 5, 2, 1, 1, 110, 1, 1, 2, 5, 1, 1, 5, 1, 8, 2, 1, 2000)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million one thousand three hundred fifty-eight
Ordinal: 1001358th
Binary: 11110100011110001110
Octal: 3643616
Hexadecimal: 0xF478E
Base64: D0eO
One's complement: 4,293,965,937 (32-bit)
Scientific notation: 1.001358 × 10⁶
As a duration: 1,001,358 s = 11 days, 14 hours, 9 minutes, 18 seconds

In other bases

ternary (3) 1212212121100

quaternary (4) 3310132032

quinary (5) 224020413

senary (6) 33243530

septenary (7) 11340261

nonary (9) 1785540

undecimal (11) 624376

duodecimal (12) 4035a6

tridecimal (13) 290a27

tetradecimal (14) 1c0cd8

pentadecimal (15) 14ba73

As an angle

1,001,358° = 2,781 × 360° + 198°

198° ≈ 3.456 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千三百五十八
Chinese (financial): 壹佰萬壹仟參佰伍拾捌

In other modern scripts

Eastern Arabic ١٠٠١٣٥٨ Devanagari १००१३५८ Bengali ১০০১৩৫৮ Tamil ௧௦௦௧௩௫௮ Thai ๑๐๐๑๓๕๘ Tibetan ༡༠༠༡༣༥༨ Khmer ១០០១៣៥៨ Lao ໑໐໐໑໓໕໘ Burmese ၁၀၀၁၃၅၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001358, here are decompositions:

5 + 1001353 = 1001358
11 + 1001347 = 1001358
31 + 1001327 = 1001358
37 + 1001321 = 1001358
47 + 1001311 = 1001358
67 + 1001291 = 1001358
79 + 1001279 = 1001358
139 + 1001219 = 1001358

Showing the first eight; more decompositions exist.

Hex color

#0F478E

RGB(15, 71, 142)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.142.

Address: 0.15.71.142
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.142

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 1,001,358 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 US1,001,358 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001358 first appears in π at position 66,665 of the decimal expansion (the 66,665ordinal-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 1001358 on Pi Search ↗