Live analysis

1,001,972

1,001,972 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.).

1,001,972 (one million one thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 10,891. Written other ways, in hexadecimal, 0xF49F4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,001,960 1,001,961 1,001,962 1,001,963 1,001,964 1,001,965 1,001,966 1,001,967 1,001,968 1,001,969 1,001,970 1,001,971 1,001,972 1,001,973 1,001,974 1,001,975 1,001,976 1,001,977 1,001,978 1,001,979 1,001,980 1,001,981 1,001,982 1,001,983 1,001,984

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Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,791,001
Square (n²): 1,003,947,888,784
Cube (n³): 1,005,927,674,020,682,048
Divisor count: 12
σ(n) — sum of divisors: 1,829,856
φ(n) — Euler's totient: 479,160
Sum of prime factors: 10,918

Primality

Prime factorization: 2 ² × 23 × 10891

Nearest primes: 1,001,953 (−19) · 1,001,977 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 23 · 46 · 92 · 10891 · 21782 · 43564 · 250493 · 500986 (half) · 1001972

Aliquot sum (sum of proper divisors): 827,884

Factor pairs (a × b = 1,001,972)

1 × 1001972

2 × 500986

4 × 250493

23 × 43564

46 × 21782

92 × 10891

First multiples

1,001,972 · 2,003,944 (double) · 3,005,916 · 4,007,888 · 5,009,860 · 6,011,832 · 7,013,804 · 8,015,776 · 9,017,748 · 10,019,720

Sums & aliquot sequence

As consecutive integers: 125,243 + 125,244 + … + 125,250 43,553 + 43,554 + … + 43,575 5,354 + 5,355 + … + 5,537

Aliquot sequence: 1,001,972 → 827,884 → 632,316 → 980,484 → 1,307,340 → 2,820,420 → 6,032,424 → 9,843,576 → 14,765,424 → 24,613,008 → 55,381,872 → 126,828,688 → 163,073,392 → 163,074,384 → 383,390,640 → 967,594,320 → 3,221,851,824 — unresolved within range

Continued fraction of √n

√1,001,972 = [1000; (1, 68, 29, 2, 2, 1, 8, 9, 2, 6, 2, 4, 1, 5, 2, 153, 1, 1, 6, 5, 6, 2, 1, 1, …)]

Representations

In words: one million one thousand nine hundred seventy-two
Ordinal: 1001972nd
Binary: 11110100100111110100
Octal: 3644764
Hexadecimal: 0xF49F4
Base64: D0n0
One's complement: 4,293,965,323 (32-bit)
Scientific notation: 1.001972 × 10⁶
As a duration: 1,001,972 s = 11 days, 14 hours, 19 minutes, 32 seconds

In other bases

ternary (3) 1212220110002

quaternary (4) 3310213310

quinary (5) 224030342

senary (6) 33250432

septenary (7) 11342126

nonary (9) 1786402

undecimal (11) 624884

duodecimal (12) 403a18

tridecimal (13) 2910aa

tetradecimal (14) 1c1216

pentadecimal (15) 14bd32

As an angle

1,001,972° = 2,783 × 360° + 92°

92° ≈ 1.606 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千九百七十二
Chinese (financial): 壹佰萬壹仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠١٩٧٢ Devanagari १००१९७२ Bengali ১০০১৯৭২ Tamil ௧௦௦௧௯௭௨ Thai ๑๐๐๑๙๗๒ Tibetan ༡༠༠༡༩༧༢ Khmer ១០០១៩៧២ Lao ໑໐໐໑໙໗໒ Burmese ၁၀၀၁၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001972, here are decompositions:

19 + 1001953 = 1001972
31 + 1001941 = 1001972
61 + 1001911 = 1001972
151 + 1001821 = 1001972
163 + 1001809 = 1001972
229 + 1001743 = 1001972
313 + 1001659 = 1001972
379 + 1001593 = 1001972

Showing the first eight; more decompositions exist.

Hex color

#0F49F4

RGB(15, 73, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.244.

Address: 0.15.73.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.244

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

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 1,001,972 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 US1,001,972 on Google Patents ↗ Look up on USPTO ↗