Live analysis

1,013,724

1,013,724 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.).

1,013,724 (one million thirteen thousand seven hundred twenty-four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 971. Its proper divisors sum to 1,639,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77DC.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,712 1,013,713 1,013,714 1,013,715 1,013,716 1,013,717 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,273,101
Square (n²): 1,027,636,348,176
Cube (n³): 1,041,739,629,418,367,424
Divisor count: 36
σ(n) — sum of divisors: 2,653,560
φ(n) — Euler's totient: 325,920
Sum of prime factors: 1,010

Primality

Prime factorization: 2 ² × 3 ² × 29 × 971

Nearest primes: 1,013,717 (−7) · 1,013,729 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 58 · 87 · 116 · 174 · 261 · 348 · 522 · 971 · 1044 · 1942 · 2913 · 3884 · 5826 · 8739 · 11652 · 17478 · 28159 · 34956 · 56318 · 84477 · 112636 · 168954 · 253431 · 337908 · 506862 (half) · 1013724

Aliquot sum (sum of proper divisors): 1,639,836

Factor pairs (a × b = 1,013,724)

1 × 1013724

2 × 506862

3 × 337908

4 × 253431

6 × 168954

9 × 112636

12 × 84477

18 × 56318

29 × 34956

36 × 28159

58 × 17478

87 × 11652

116 × 8739

174 × 5826

261 × 3884

348 × 2913

522 × 1942

971 × 1044

First multiples

1,013,724 · 2,027,448 (double) · 3,041,172 · 4,054,896 · 5,068,620 · 6,082,344 · 7,096,068 · 8,109,792 · 9,123,516 · 10,137,240

Sums & aliquot sequence

As consecutive integers: 337,907 + 337,908 + 337,909 126,712 + 126,713 + … + 126,719 112,632 + 112,633 + … + 112,640 42,227 + 42,228 + … + 42,250

Aliquot sequence: 1,013,724 → 1,639,836 → 3,038,292 → 4,852,864 → 5,134,976 → 7,643,584 → 8,692,680 → 17,667,960 → 37,174,440 → 79,206,360 → 158,413,080 → 414,094,920 → 828,190,200 → 1,739,201,280 → 3,965,962,464 → 7,439,038,416 → 13,379,937,554 — keeps growing

Continued fraction of √n

√1,013,724 = [1006; (1, 5, 5, 10, 1, 153, 1, 79, 1, 1, 4, 5, 1, 11, 13, 6, 8, 2, 1, 2, 1, 1, 5, 2, …)]

Representations

In words: one million thirteen thousand seven hundred twenty-four
Ordinal: 1013724th
Binary: 11110111011111011100
Octal: 3673734
Hexadecimal: 0xF77DC
Base64: D3fc
One's complement: 4,293,953,571 (32-bit)
Scientific notation: 1.013724 × 10⁶
As a duration: 1,013,724 s = 11 days, 17 hours, 35 minutes, 24 seconds

In other bases

ternary (3) 1220111120100

quaternary (4) 3313133130

quinary (5) 224414344

senary (6) 33421100

septenary (7) 11421315

nonary (9) 1814510

undecimal (11) 632698

duodecimal (12) 40a790

tridecimal (13) 29654a

tetradecimal (14) 1c560c

pentadecimal (15) 150569

As an angle

1,013,724° = 2,815 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千七百二十四
Chinese (financial): 壹佰零壹萬參仟柒佰貳拾肆

In other modern scripts

Eastern Arabic ١٠١٣٧٢٤ Devanagari १०१३७२४ Bengali ১০১৩৭২৪ Tamil ௧௦௧௩௭௨௪ Thai ๑๐๑๓๗๒๔ Tibetan ༡༠༡༣༧༢༤ Khmer ១០១៣៧២៤ Lao ໑໐໑໓໗໒໔ Burmese ၁၀၁၃၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013724, here are decompositions:

7 + 1013717 = 1013724
11 + 1013713 = 1013724
13 + 1013711 = 1013724
37 + 1013687 = 1013724
43 + 1013681 = 1013724
53 + 1013671 = 1013724
83 + 1013641 = 1013724
97 + 1013627 = 1013724

Showing the first eight; more decompositions exist.

Hex color

#0F77DC

RGB(15, 119, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.220.

Address: 0.15.119.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.220

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3724 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3724-10-01 (MMDYYYY (US, single-digit day))
3724-01-10 (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 1,013,724 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 US1,013,724 on Google Patents ↗ Look up on USPTO ↗