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971,628

971,628 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.).

971,628 (nine hundred seventy-one thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 43 × 269. Its proper divisors sum to 1,689,492, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED36C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
6,048
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
826,179
Recamán's sequence
a(314,859) = 971,628
Square (n²)
944,060,970,384
Cube (n³)
917,276,072,532,265,152
Divisor count
48
σ(n) — sum of divisors
2,661,120
φ(n) — Euler's totient
270,144
Sum of prime factors
326

Primality

Prime factorization: 2 2 × 3 × 7 × 43 × 269

Nearest primes: 971,591 (−37) · 971,639 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 43 · 84 · 86 · 129 · 172 · 258 · 269 · 301 · 516 · 538 · 602 · 807 · 903 · 1076 · 1204 · 1614 · 1806 · 1883 · 3228 · 3612 · 3766 · 5649 · 7532 · 11298 · 11567 · 22596 · 23134 · 34701 · 46268 · 69402 · 80969 · 138804 · 161938 · 242907 · 323876 · 485814 (half) · 971628
Aliquot sum (sum of proper divisors): 1,689,492
Factor pairs (a × b = 971,628)
1 × 971628
2 × 485814
3 × 323876
4 × 242907
6 × 161938
7 × 138804
12 × 80969
14 × 69402
21 × 46268
28 × 34701
42 × 23134
43 × 22596
84 × 11567
86 × 11298
129 × 7532
172 × 5649
258 × 3766
269 × 3612
301 × 3228
516 × 1883
538 × 1806
602 × 1614
807 × 1204
903 × 1076
First multiples
971,628 · 1,943,256 (double) · 2,914,884 · 3,886,512 · 4,858,140 · 5,829,768 · 6,801,396 · 7,773,024 · 8,744,652 · 9,716,280

Sums & aliquot sequence

As consecutive integers: 323,875 + 323,876 + 323,877 138,801 + 138,802 + … + 138,807 121,450 + 121,451 + … + 121,457 46,258 + 46,259 + … + 46,278
Aliquot sequence: 971,628 1,689,492 2,816,044 3,506,132 3,506,188 3,506,244 6,261,276 10,592,484 18,265,884 35,547,876 77,912,604 177,692,004 335,641,180 492,644,516 574,504,924 574,504,980 1,263,912,300 — unresolved within range

Continued fraction of √n

√971,628 = [985; (1, 2, 2, 8, 4, 1, 1, 2, 2, 1, 1, 4, 1, 6, 1, 33, 1, 2, 2, 492, 2, 2, 1, 33, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy-one thousand six hundred twenty-eight
Ordinal
971628th
Binary
11101101001101101100
Octal
3551554
Hexadecimal
0xED36C
Base64
DtNs
One's complement
4,293,995,667 (32-bit)
Scientific notation
9.71628 × 10⁵
As a duration
971,628 s = 11 days, 5 hours, 53 minutes, 48 seconds
In other bases
ternary (3) 1211100211020
quaternary (4) 3231031230
quinary (5) 222043003
senary (6) 32454140
septenary (7) 11154510
nonary (9) 1740736
undecimal (11) 603aa9
duodecimal (12) 3aa350
tridecimal (13) 280338
tetradecimal (14) 1b4140
pentadecimal (15) 142d53

As an angle

971,628° = 2,698 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡοαχκηʹ
Chinese
九十七萬一千六百二十八
Chinese (financial)
玖拾柒萬壹仟陸佰貳拾捌
In other modern scripts
Eastern Arabic ٩٧١٦٢٨ Devanagari ९७१६२८ Bengali ৯৭১৬২৮ Tamil ௯௭௧௬௨௮ Thai ๙๗๑๖๒๘ Tibetan ༩༧༡༦༢༨ Khmer ៩៧១៦២៨ Lao ໙໗໑໖໒໘ Burmese ၉၇၁၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 971628, here are decompositions:

  • 37 + 971591 = 971628
  • 59 + 971569 = 971628
  • 67 + 971561 = 971628
  • 79 + 971549 = 971628
  • 107 + 971521 = 971628
  • 127 + 971501 = 971628
  • 137 + 971491 = 971628
  • 149 + 971479 = 971628

Showing the first eight; more decompositions exist.

Hex color
#0ED36C
RGB(14, 211, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.211.108.

Address
0.14.211.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.211.108

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 971,628 and was likely granted around 1910.

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

Position in π

The digit sequence 971628 first appears in π at position 242,300 of the decimal expansion (the 242,300ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.