Live analysis

972,006

972,006 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.).

972,006 (nine hundred seventy-two thousand six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 23,143. Its proper divisors sum to 1,249,818, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED4E6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

971,994 971,995 971,996 971,997 971,998 971,999 972,000 972,001 972,002 972,003 972,004 972,005 972,006 972,007 972,008 972,009 972,010 972,011 972,012 972,013 972,014 972,015 972,016 972,017 972,018

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 600,279
Square (n²): 944,795,664,036
Cube (n³): 918,347,054,216,976,216
Divisor count: 16
σ(n) — sum of divisors: 2,221,824
φ(n) — Euler's totient: 277,704
Sum of prime factors: 23,155

Primality

Prime factorization: 2 × 3 × 7 × 23143

Nearest primes: 972,001 (−5) · 972,017 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 23143 · 46286 · 69429 · 138858 · 162001 · 324002 · 486003 (half) · 972006

Aliquot sum (sum of proper divisors): 1,249,818

Factor pairs (a × b = 972,006)

1 × 972006

2 × 486003

3 × 324002

6 × 162001

7 × 138858

14 × 69429

21 × 46286

42 × 23143

First multiples

972,006 · 1,944,012 (double) · 2,916,018 · 3,888,024 · 4,860,030 · 5,832,036 · 6,804,042 · 7,776,048 · 8,748,054 · 9,720,060

Sums & aliquot sequence

As consecutive integers: 324,001 + 324,002 + 324,003 243,000 + 243,001 + 243,002 + 243,003 138,855 + 138,856 + … + 138,861 80,995 + 80,996 + … + 81,006

Aliquot sequence: 972,006 → 1,249,818 → 1,287,942 → 1,287,954 → 1,926,126 → 2,441,394 → 3,174,606 → 3,880,194 → 4,163,646 → 4,451,154 → 4,451,166 → 5,763,234 → 6,180,702 → 7,674,402 → 7,701,630 → 10,782,354 → 13,769,070 — unresolved within range

Continued fraction of √n

√972,006 = [985; (1, 9, 2, 1, 1, 1, 3, 1, 11, 42, 1, 3, 1, 1, 3, 1, 21, 1, 7, 1, 1, 1, 1, 1, …)]

Representations

In words: nine hundred seventy-two thousand six
Ordinal: 972006th
Binary: 11101101010011100110
Octal: 3552346
Hexadecimal: 0xED4E6
Base64: DtTm
One's complement: 4,293,995,289 (32-bit)
Scientific notation: 9.72006 × 10⁵
As a duration: 972,006 s = 11 days, 6 hours, 6 seconds

In other bases

ternary (3) 1211101100020

quaternary (4) 3231103212

quinary (5) 222101011

senary (6) 32500010

septenary (7) 11155560

nonary (9) 1741306

undecimal (11) 604312

duodecimal (12) 3aa606

tridecimal (13) 280569

tetradecimal (14) 1b4330

pentadecimal (15) 143006

As an angle

972,006° = 2,700 × 360° + 6°

6° ≈ 0.105 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡοβϛʹ
Chinese: 九十七萬二千零六
Chinese (financial): 玖拾柒萬貳仟零陸

In other modern scripts

Eastern Arabic ٩٧٢٠٠٦ Devanagari ९७२००६ Bengali ৯৭২০০৬ Tamil ௯௭௨௦௦௬ Thai ๙๗๒๐๐๖ Tibetan ༩༧༢༠༠༦ Khmer ៩៧២០០៦ Lao ໙໗໒໐໐໖ Burmese ၉၇၂၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972006, here are decompositions:

5 + 972001 = 972006
17 + 971989 = 972006
29 + 971977 = 972006
47 + 971959 = 972006
67 + 971939 = 972006
73 + 971933 = 972006
89 + 971917 = 972006
103 + 971903 = 972006

Showing the first eight; more decompositions exist.

Hex color

#0ED4E6

RGB(14, 212, 230)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.212.230.

Address: 0.14.212.230
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.212.230

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 972,006 and was likely granted around 1910.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US972,006 on Google Patents ↗ Look up on USPTO ↗