Live analysis

972,004

972,004 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.).

972,004 (nine hundred seventy-two thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 22,091. Written other ways, in hexadecimal, 0xED4E4.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

971,992 971,993 971,994 971,995 971,996 971,997 971,998 971,999 972,000 972,001 972,002 972,003 972,004 972,005 972,006 972,007 972,008 972,009 972,010 972,011 972,012 972,013 972,014 972,015 972,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 400,279
Square (n²): 944,791,776,016
Cube (n³): 918,341,385,454,656,064
Divisor count: 12
σ(n) — sum of divisors: 1,855,728
φ(n) — Euler's totient: 441,800
Sum of prime factors: 22,106

Primality

Prime factorization: 2 ² × 11 × 22091

Nearest primes: 972,001 (−3) · 972,017 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 22 · 44 · 22091 · 44182 · 88364 · 243001 · 486002 (half) · 972004

Aliquot sum (sum of proper divisors): 883,724

Factor pairs (a × b = 972,004)

1 × 972004

2 × 486002

4 × 243001

11 × 88364

22 × 44182

44 × 22091

First multiples

972,004 · 1,944,008 (double) · 2,916,012 · 3,888,016 · 4,860,020 · 5,832,024 · 6,804,028 · 7,776,032 · 8,748,036 · 9,720,040

Sums & aliquot sequence

As consecutive integers: 121,497 + 121,498 + … + 121,504 88,359 + 88,360 + … + 88,369 11,002 + 11,003 + … + 11,089

Aliquot sequence: 972,004 → 883,724 → 662,800 → 930,538 → 664,694 → 380,746 → 195,254 → 99,586 → 65,654 → 38,674 → 20,474 → 11,386 → 5,696 → 5,734 → 3,194 → 1,600 → 2,337 — unresolved within range

Continued fraction of √n

√972,004 = [985; (1, 9, 3, 1, 2, 3, 12, 1, 3, 5, 2, 5, 1, 5, 2, 1, 1, 1, 178, 1, 1, 1, 2, 5, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: nine hundred seventy-two thousand four
Ordinal: 972004th
Binary: 11101101010011100100
Octal: 3552344
Hexadecimal: 0xED4E4
Base64: DtTk
One's complement: 4,293,995,291 (32-bit)
Scientific notation: 9.72004 × 10⁵
As a duration: 972,004 s = 11 days, 6 hours, 4 seconds

In other bases

ternary (3) 1211101100011

quaternary (4) 3231103210

quinary (5) 222101004

senary (6) 32500004

septenary (7) 11155555

nonary (9) 1741304

undecimal (11) 604310

duodecimal (12) 3aa604

tridecimal (13) 280567

tetradecimal (14) 1b432c

pentadecimal (15) 143004

As an angle

972,004° = 2,700 × 360° + 4°

4° ≈ 0.07 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 · 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡοβδʹ
Chinese: 九十七萬二千零四
Chinese (financial): 玖拾柒萬貳仟零肆

In other modern scripts

Eastern Arabic ٩٧٢٠٠٤ Devanagari ९७२००४ Bengali ৯৭২০০৪ Tamil ௯௭௨௦௦௪ Thai ๙๗๒๐๐๔ Tibetan ༩༧༢༠༠༤ Khmer ៩៧២០០៤ Lao ໙໗໒໐໐໔ Burmese ၉၇၂၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972004, here are decompositions:

3 + 972001 = 972004
23 + 971981 = 972004
53 + 971951 = 972004
71 + 971933 = 972004
83 + 971921 = 972004
101 + 971903 = 972004
251 + 971753 = 972004
281 + 971723 = 972004

Showing the first eight; more decompositions exist.

Hex color

#0ED4E4

RGB(14, 212, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.212.228.

Address: 0.14.212.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.212.228

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 972,004 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 US972,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 972004 first appears in π at position 192,548 of the decimal expansion (the 192,548ordinal-suffix:th 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 972004 on Pi Search ↗