Live analysis

1,013,004

1,013,004 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.).

1,013,004 (one million thirteen thousand four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 19 × 1,481. Its proper divisors sum to 1,684,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF750C.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,012,992 1,012,993 1,012,994 1,012,995 1,012,996 1,012,997 1,012,998 1,012,999 1,013,000 1,013,001 1,013,002 1,013,003 1,013,004 1,013,005 1,013,006 1,013,007 1,013,008 1,013,009 1,013,010 1,013,011 1,013,012 1,013,013 1,013,014 1,013,015 1,013,016

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,003,101
Square (n²): 1,026,177,104,016
Cube (n³): 1,039,521,511,076,624,064
Divisor count: 36
σ(n) — sum of divisors: 2,697,240
φ(n) — Euler's totient: 319,680
Sum of prime factors: 1,510

Primality

Prime factorization: 2 ² × 3 ² × 19 × 1481

Nearest primes: 1,013,003 (−1) · 1,013,009 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 36 · 38 · 57 · 76 · 114 · 171 · 228 · 342 · 684 · 1481 · 2962 · 4443 · 5924 · 8886 · 13329 · 17772 · 26658 · 28139 · 53316 · 56278 · 84417 · 112556 · 168834 · 253251 · 337668 · 506502 (half) · 1013004

Aliquot sum (sum of proper divisors): 1,684,236

Factor pairs (a × b = 1,013,004)

1 × 1013004

2 × 506502

3 × 337668

4 × 253251

6 × 168834

9 × 112556

12 × 84417

18 × 56278

19 × 53316

36 × 28139

38 × 26658

57 × 17772

76 × 13329

114 × 8886

171 × 5924

228 × 4443

342 × 2962

684 × 1481

First multiples

1,013,004 · 2,026,008 (double) · 3,039,012 · 4,052,016 · 5,065,020 · 6,078,024 · 7,091,028 · 8,104,032 · 9,117,036 · 10,130,040

Sums & aliquot sequence

As consecutive integers: 337,667 + 337,668 + 337,669 126,622 + 126,623 + … + 126,629 112,552 + 112,553 + … + 112,560 53,307 + 53,308 + … + 53,325

Aliquot sequence: 1,013,004 → 1,684,236 → 2,549,364 → 3,399,180 → 6,201,684 → 10,011,590 → 8,009,290 → 7,231,670 → 5,785,354 → 2,903,066 → 1,469,638 → 734,822 → 481,690 → 503,270 → 419,050 → 437,480 → 546,940 — unresolved within range

Continued fraction of √n

√1,013,004 = [1006; (2, 12, 1, 1, 1, 10, 1, 1, 9, 1, 1, 5, 2, 1, 1, 8, 2, 1, 4, 1, 10, 2, 2, 1, …)]

Representations

In words: one million thirteen thousand four
Ordinal: 1013004th
Binary: 11110111010100001100
Octal: 3672414
Hexadecimal: 0xF750C
Base64: D3UM
One's complement: 4,293,954,291 (32-bit)
Scientific notation: 1.013004 × 10⁶
As a duration: 1,013,004 s = 11 days, 17 hours, 23 minutes, 24 seconds

In other bases

ternary (3) 1220110120200

quaternary (4) 3313110030

quinary (5) 224404004

senary (6) 33413500

septenary (7) 11416236

nonary (9) 1813520

undecimal (11) 6320a3

duodecimal (12) 40a290

tridecimal (13) 296115

tetradecimal (14) 1c5256

pentadecimal (15) 150239

As an angle

1,013,004° = 2,813 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零四
Chinese (financial): 壹佰零壹萬參仟零肆

In other modern scripts

Eastern Arabic ١٠١٣٠٠٤ Devanagari १०१३००४ Bengali ১০১৩০০৪ Tamil ௧௦௧௩௦௦௪ Thai ๑๐๑๓๐๐๔ Tibetan ༡༠༡༣༠༠༤ Khmer ១០១៣០០៤ Lao ໑໐໑໓໐໐໔ Burmese ၁၀၁၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013004, here are decompositions:

7 + 1012997 = 1013004
11 + 1012993 = 1013004
23 + 1012981 = 1013004
37 + 1012967 = 1013004
73 + 1012931 = 1013004
101 + 1012903 = 1013004
173 + 1012831 = 1013004
193 + 1012811 = 1013004

Showing the first eight; more decompositions exist.

Hex color

#0F750C

RGB(15, 117, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.12.

Address: 0.15.117.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.12

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3004-10-01 (MMDYYYY (US, single-digit day))
3004-01-10 (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 1,013,004 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 US1,013,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013004 first appears in π at position 446,470 of the decimal expansion (the 446,470ordinal-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 1013004 on Pi Search ↗