Live analysis

1,013,972

1,013,972 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.).

1,013,972 (one million thirteen thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 6 divisors, and factors as 2² × 253,493. Written other ways, in hexadecimal, 0xF78D4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,960 1,013,961 1,013,962 1,013,963 1,013,964 1,013,965 1,013,966 1,013,967 1,013,968 1,013,969 1,013,970 1,013,971 1,013,972 1,013,973 1,013,974 1,013,975 1,013,976 1,013,977 1,013,978 1,013,979 1,013,980 1,013,981 1,013,982 1,013,983 1,013,984

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Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,793,101
Square (n²): 1,028,139,216,784
Cube (n³): 1,042,504,377,920,906,048
Divisor count: 6
σ(n) — sum of divisors: 1,774,458
φ(n) — Euler's totient: 506,984
Sum of prime factors: 253,497

Primality

Prime factorization: 2 ² × 253493

Nearest primes: 1,013,933 (−39) · 1,013,993 (+21)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 253493 · 506986 (half) · 1013972

Aliquot sum (sum of proper divisors): 760,486

Factor pairs (a × b = 1,013,972)

1 × 1013972

2 × 506986

4 × 253493

First multiples

1,013,972 · 2,027,944 (double) · 3,041,916 · 4,055,888 · 5,069,860 · 6,083,832 · 7,097,804 · 8,111,776 · 9,125,748 · 10,139,720

Sums & aliquot sequence

As a sum of two squares: 44² + 1,006²

As consecutive integers: 126,743 + 126,744 + … + 126,750

Aliquot sequence: 1,013,972 → 760,486 → 383,954 → 191,980 → 226,340 → 249,016 → 245,624 → 214,936 → 195,104 → 284,704 → 392,672 → 491,344 → 633,584 → 769,600 → 1,324,884 → 2,047,884 → 2,833,524 — unresolved within range

Continued fraction of √n

√1,013,972 = [1006; (1, 25, 6, 2, 3, 2, 11, 1, 1, 1, 1, 1, 5, 1, 2, 4, 1, 1, 9, 2, 1, 2, 2, 2, …)]

Representations

In words: one million thirteen thousand nine hundred seventy-two
Ordinal: 1013972nd
Binary: 11110111100011010100
Octal: 3674324
Hexadecimal: 0xF78D4
Base64: D3jU
One's complement: 4,293,953,323 (32-bit)
Scientific notation: 1.013972 × 10⁶
As a duration: 1,013,972 s = 11 days, 17 hours, 39 minutes, 32 seconds

In other bases

ternary (3) 1220111220112

quaternary (4) 3313203110

quinary (5) 224421342

senary (6) 33422152

septenary (7) 11422121

nonary (9) 1814815

undecimal (11) 6328a3

duodecimal (12) 40a958

tridecimal (13) 2966ab

tetradecimal (14) 1c5748

pentadecimal (15) 150682

As an angle

1,013,972° = 2,816 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬三千九百七十二
Chinese (financial): 壹佰零壹萬參仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠١٣٩٧٢ Devanagari १०१३९७२ Bengali ১০১৩৯৭২ Tamil ௧௦௧௩௯௭௨ Thai ๑๐๑๓๙๗๒ Tibetan ༡༠༡༣༩༧༢ Khmer ១០១៣៩៧២ Lao ໑໐໑໓໙໗໒ Burmese ၁၀၁၃၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013972, here are decompositions:

73 + 1013899 = 1013972
79 + 1013893 = 1013972
139 + 1013833 = 1013972
181 + 1013791 = 1013972
199 + 1013773 = 1013972
331 + 1013641 = 1013972
409 + 1013563 = 1013972
439 + 1013533 = 1013972

Showing the first eight; more decompositions exist.

Hex color

#0F78D4

RGB(15, 120, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.212.

Address: 0.15.120.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3972 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3972-10-01 (MMDYYYY (US, single-digit day))
3972-01-10 (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 1,013,972 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 US1,013,972 on Google Patents ↗ Look up on USPTO ↗