Live analysis

972,672

972,672 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.).

972,672 (nine hundred seventy-two thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 17 × 149. Its proper divisors sum to 1,781,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED780.

Abundant Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

972,660 972,661 972,662 972,663 972,664 972,665 972,666 972,667 972,668 972,669 972,670 972,671 972,672 972,673 972,674 972,675 972,676 972,677 972,678 972,679 972,680 972,681 972,682 972,683 972,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 10,584
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 276,279
Square (n²): 946,090,819,584
Cube (n³): 920,236,049,666,408,448
Divisor count: 64
σ(n) — sum of divisors: 2,754,000
φ(n) — Euler's totient: 303,104
Sum of prime factors: 183

Primality

Prime factorization: 2 ⁷ × 3 × 17 × 149

Nearest primes: 972,661 (−11) · 972,679 (+7)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 96 · 102 · 128 · 136 · 149 · 192 · 204 · 272 · 298 · 384 · 408 · 447 · 544 · 596 · 816 · 894 · 1088 · 1192 · 1632 · 1788 · 2176 · 2384 · 2533 · 3264 · 3576 · 4768 · 5066 · 6528 · 7152 · 7599 · 9536 · 10132 · 14304 · 15198 · 19072 · 20264 · 28608 · 30396 · 40528 · 57216 · 60792 · 81056 · 121584 · 162112 · 243168 · 324224 · 486336 (half) · 972672

Aliquot sum (sum of proper divisors): 1,781,328

Factor pairs (a × b = 972,672)

1 × 972672

2 × 486336

3 × 324224

4 × 243168

6 × 162112

8 × 121584

12 × 81056

16 × 60792

17 × 57216

24 × 40528

32 × 30396

34 × 28608

48 × 20264

51 × 19072

64 × 15198

68 × 14304

96 × 10132

102 × 9536

128 × 7599

136 × 7152

149 × 6528

192 × 5066

204 × 4768

272 × 3576

298 × 3264

384 × 2533

408 × 2384

447 × 2176

544 × 1788

596 × 1632

816 × 1192

894 × 1088

First multiples

972,672 · 1,945,344 (double) · 2,918,016 · 3,890,688 · 4,863,360 · 5,836,032 · 6,808,704 · 7,781,376 · 8,754,048 · 9,726,720

Sums & aliquot sequence

As consecutive integers: 324,223 + 324,224 + 324,225 57,208 + 57,209 + … + 57,224 19,047 + 19,048 + … + 19,097 6,454 + 6,455 + … + 6,602

Aliquot sequence: 972,672 → 1,781,328 → 3,307,632 → 5,237,208 → 8,947,092 → 18,276,972 → 33,332,628 → 56,697,452 → 56,697,508 → 58,722,818 → 58,228,222 → 36,669,938 → 19,369,102 → 9,758,210 → 15,124,990 → 12,285,410 → 9,828,346 — unresolved within range

Continued fraction of √n

√972,672 = [986; (4, 6, 1, 39, 2, 1, 1, 4, 1, 6, 2, 2, 10, 11, 1, 1, 2, 1, 4, 2, 3, 3, 2, 3, …)]

Representations

In words: nine hundred seventy-two thousand six hundred seventy-two
Ordinal: 972672nd
Binary: 11101101011110000000
Octal: 3553600
Hexadecimal: 0xED780
Base64: DteA
One's complement: 4,293,994,623 (32-bit)
Scientific notation: 9.72672 × 10⁵
As a duration: 972,672 s = 11 days, 6 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 1211102020220

quaternary (4) 3231132000

quinary (5) 222111142

senary (6) 32503040

septenary (7) 11160531

nonary (9) 1742226

undecimal (11) 604868

duodecimal (12) 3aaa80

tridecimal (13) 28095c

tetradecimal (14) 1b4688

pentadecimal (15) 1432ec

As an angle

972,672° = 2,701 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡοβχοβʹ
Chinese: 九十七萬二千六百七十二
Chinese (financial): 玖拾柒萬貳仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ٩٧٢٦٧٢ Devanagari ९७२६७२ Bengali ৯৭২৬৭২ Tamil ௯௭௨௬௭௨ Thai ๙๗๒๖๗๒ Tibetan ༩༧༢༦༧༢ Khmer ៩៧២៦៧២ Lao ໙໗໒໖໗໒ Burmese ၉၇၂၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972672, here are decompositions:

11 + 972661 = 972672
23 + 972649 = 972672
59 + 972613 = 972672
61 + 972611 = 972672
73 + 972599 = 972672
139 + 972533 = 972672
179 + 972493 = 972672
191 + 972481 = 972672

Showing the first eight; more decompositions exist.

Hex color

#0ED780

RGB(14, 215, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.215.128.

Address: 0.14.215.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.215.128

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 972,672 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 US972,672 on Google Patents ↗ Look up on USPTO ↗