Live analysis

1,013,742

1,013,742 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.).

1,013,742 (one million thirteen thousand seven hundred forty-two) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 18,773. Its proper divisors sum to 1,239,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77EE.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,730 1,013,731 1,013,732 1,013,733 1,013,734 1,013,735 1,013,736 1,013,737 1,013,738 1,013,739 1,013,740 1,013,741 1,013,742 1,013,743 1,013,744 1,013,745 1,013,746 1,013,747 1,013,748 1,013,749 1,013,750 1,013,751 1,013,752 1,013,753 1,013,754

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,473,101
Square (n²): 1,027,672,842,564
Cube (n³): 1,041,795,122,766,514,488
Divisor count: 16
σ(n) — sum of divisors: 2,252,880
φ(n) — Euler's totient: 337,896
Sum of prime factors: 18,784

Primality

Prime factorization: 2 × 3 ³ × 18773

Nearest primes: 1,013,741 (−1) · 1,013,767 (+25)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 18773 · 37546 · 56319 · 112638 · 168957 · 337914 · 506871 (half) · 1013742

Aliquot sum (sum of proper divisors): 1,239,138

Factor pairs (a × b = 1,013,742)

1 × 1013742

2 × 506871

3 × 337914

6 × 168957

9 × 112638

18 × 56319

27 × 37546

54 × 18773

First multiples

1,013,742 · 2,027,484 (double) · 3,041,226 · 4,054,968 · 5,068,710 · 6,082,452 · 7,096,194 · 8,109,936 · 9,123,678 · 10,137,420

Sums & aliquot sequence

As consecutive integers: 337,913 + 337,914 + 337,915 253,434 + 253,435 + 253,436 + 253,437 112,634 + 112,635 + … + 112,642 84,473 + 84,474 + … + 84,484

Aliquot sequence: 1,013,742 → 1,239,138 → 1,537,812 → 2,594,988 → 4,561,980 → 8,326,980 → 16,932,072 → 25,879,128 → 45,901,992 → 68,853,048 → 118,928,712 → 234,366,648 → 351,550,032 → 599,817,648 → 951,339,520 → 1,329,651,764 → 1,363,885,516 — unresolved within range

Continued fraction of √n

√1,013,742 = [1006; (1, 5, 1, 1, 3, 1, 2, 6, 2, 2, 1, 1, 1, 3, 2, 1, 1, 1, 2, 2, 1, 1, 6, 1, …)]

Representations

In words: one million thirteen thousand seven hundred forty-two
Ordinal: 1013742nd
Binary: 11110111011111101110
Octal: 3673756
Hexadecimal: 0xF77EE
Base64: D3fu
One's complement: 4,293,953,553 (32-bit)
Scientific notation: 1.013742 × 10⁶
As a duration: 1,013,742 s = 11 days, 17 hours, 35 minutes, 42 seconds

In other bases

ternary (3) 1220111121000

quaternary (4) 3313133232

quinary (5) 224414432

senary (6) 33421130

septenary (7) 11421342

nonary (9) 1814530

undecimal (11) 632704

duodecimal (12) 40a7a6

tridecimal (13) 296562

tetradecimal (14) 1c5622

pentadecimal (15) 15057c

As an angle

1,013,742° = 2,815 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千七百四十二
Chinese (financial): 壹佰零壹萬參仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٠١٣٧٤٢ Devanagari १०१३७४२ Bengali ১০১৩৭৪২ Tamil ௧௦௧௩௭௪௨ Thai ๑๐๑๓๗๔๒ Tibetan ༡༠༡༣༧༤༢ Khmer ១០១៣៧៤២ Lao ໑໐໑໓໗໔໒ Burmese ၁၀၁၃၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013742, here are decompositions:

13 + 1013729 = 1013742
29 + 1013713 = 1013742
31 + 1013711 = 1013742
43 + 1013699 = 1013742
61 + 1013681 = 1013742
71 + 1013671 = 1013742
101 + 1013641 = 1013742
113 + 1013629 = 1013742

Showing the first eight; more decompositions exist.

Hex color

#0F77EE

RGB(15, 119, 238)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.238.

Address: 0.15.119.238
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.238

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3742 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3742-10-01 (MMDYYYY (US, single-digit day))
3742-01-10 (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 1,013,742 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 US1,013,742 on Google Patents ↗ Look up on USPTO ↗