Live analysis

1,013,730

1,013,730 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.).

1,013,730 (one million thirteen thousand seven hundred thirty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 33,791. Its proper divisors sum to 1,419,294, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77E2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,718 1,013,719 1,013,720 1,013,721 1,013,722 1,013,723 1,013,724 1,013,725 1,013,726 1,013,727 1,013,728 1,013,729 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 373,101
Square (n²): 1,027,648,512,900
Cube (n³): 1,041,758,126,982,117,000
Divisor count: 16
σ(n) — sum of divisors: 2,433,024
φ(n) — Euler's totient: 270,320
Sum of prime factors: 33,801

Primality

Prime factorization: 2 × 3 × 5 × 33791

Nearest primes: 1,013,729 (−1) · 1,013,741 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 33791 · 67582 · 101373 · 168955 · 202746 · 337910 · 506865 (half) · 1013730

Aliquot sum (sum of proper divisors): 1,419,294

Factor pairs (a × b = 1,013,730)

1 × 1013730

2 × 506865

3 × 337910

5 × 202746

6 × 168955

10 × 101373

15 × 67582

30 × 33791

First multiples

1,013,730 · 2,027,460 (double) · 3,041,190 · 4,054,920 · 5,068,650 · 6,082,380 · 7,096,110 · 8,109,840 · 9,123,570 · 10,137,300

Sums & aliquot sequence

As consecutive integers: 337,909 + 337,910 + 337,911 253,431 + 253,432 + 253,433 + 253,434 202,744 + 202,745 + 202,746 + 202,747 + 202,748 84,472 + 84,473 + … + 84,483

Aliquot sequence: 1,013,730 → 1,419,294 → 1,419,306 → 1,898,454 → 1,912,794 → 2,260,326 → 2,260,338 → 2,365,998 → 2,424,018 → 2,664,942 → 3,493,650 → 5,170,974 → 5,170,986 → 6,694,614 → 7,988,418 → 9,531,630 → 15,250,842 — unresolved within range

Continued fraction of √n

√1,013,730 = [1006; (1, 5, 3, 5, 7, 1, 8, 1, 8, 1, 2, 1, 3, 1, 2, 1, 6, 2, 3, 13, 1, 1, 2, 36, …)]

Representations

In words: one million thirteen thousand seven hundred thirty
Ordinal: 1013730th
Binary: 11110111011111100010
Octal: 3673742
Hexadecimal: 0xF77E2
Base64: D3fi
One's complement: 4,293,953,565 (32-bit)
Scientific notation: 1.01373 × 10⁶
As a duration: 1,013,730 s = 11 days, 17 hours, 35 minutes, 30 seconds

In other bases

ternary (3) 1220111120120

quaternary (4) 3313133202

quinary (5) 224414410

senary (6) 33421110

septenary (7) 11421324

nonary (9) 1814516

undecimal (11) 6326a3

duodecimal (12) 40a796

tridecimal (13) 296553

tetradecimal (14) 1c5614

pentadecimal (15) 150570

As an angle

1,013,730° = 2,815 × 360° + 330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Chinese: 一百零一萬三千七百三十
Chinese (financial): 壹佰零壹萬參仟柒佰參拾

In other modern scripts

Eastern Arabic ١٠١٣٧٣٠ Devanagari १०१३७३० Bengali ১০১৩৭৩০ Tamil ௧௦௧௩௭௩௦ Thai ๑๐๑๓๗๓๐ Tibetan ༡༠༡༣༧༣༠ Khmer ១០១៣៧៣០ Lao ໑໐໑໓໗໓໐ Burmese ၁၀၁၃၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013730, here are decompositions:

13 + 1013717 = 1013730
17 + 1013713 = 1013730
19 + 1013711 = 1013730
31 + 1013699 = 1013730
43 + 1013687 = 1013730
59 + 1013671 = 1013730
89 + 1013641 = 1013730
101 + 1013629 = 1013730

Showing the first eight; more decompositions exist.

Hex color

#0F77E2

RGB(15, 119, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.226.

Address: 0.15.119.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.226

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3730 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3730-10-01 (MMDYYYY (US, single-digit day))
3730-01-10 (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 1,013,730 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 US1,013,730 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013730 first appears in π at position 84,963 of the decimal expansion (the 84,963ordinal-suffix:rd 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 1013730 on Pi Search ↗