Live analysis

971,120

971,120 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.).

971,120 (nine hundred seventy-one thousand one hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 61 × 199. Its proper divisors sum to 1,335,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED170.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

971,108 971,109 971,110 971,111 971,112 971,113 971,114 971,115 971,116 971,117 971,118 971,119 971,120 971,121 971,122 971,123 971,124 971,125 971,126 971,127 971,128 971,129 971,130 971,131 971,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 21,179
Square (n²): 943,074,054,400
Cube (n³): 915,838,075,708,928,000
Divisor count: 40
σ(n) — sum of divisors: 2,306,400
φ(n) — Euler's totient: 380,160
Sum of prime factors: 273

Primality

Prime factorization: 2 ⁴ × 5 × 61 × 199

Nearest primes: 971,111 (−9) · 971,141 (+21)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 61 · 80 · 122 · 199 · 244 · 305 · 398 · 488 · 610 · 796 · 976 · 995 · 1220 · 1592 · 1990 · 2440 · 3184 · 3980 · 4880 · 7960 · 12139 · 15920 · 24278 · 48556 · 60695 · 97112 · 121390 · 194224 · 242780 · 485560 (half) · 971120

Aliquot sum (sum of proper divisors): 1,335,280

Factor pairs (a × b = 971,120)

1 × 971120

2 × 485560

4 × 242780

5 × 194224

8 × 121390

10 × 97112

16 × 60695

20 × 48556

40 × 24278

61 × 15920

80 × 12139

122 × 7960

199 × 4880

244 × 3980

305 × 3184

398 × 2440

488 × 1990

610 × 1592

796 × 1220

976 × 995

First multiples

971,120 · 1,942,240 (double) · 2,913,360 · 3,884,480 · 4,855,600 · 5,826,720 · 6,797,840 · 7,768,960 · 8,740,080 · 9,711,200

Sums & aliquot sequence

As consecutive integers: 194,222 + 194,223 + 194,224 + 194,225 + 194,226 30,332 + 30,333 + … + 30,363 15,890 + 15,891 + … + 15,950 5,990 + 5,991 + … + 6,149

Aliquot sequence: 971,120 → 1,335,280 → 1,769,432 → 2,224,168 → 2,048,492 → 1,587,364 → 1,232,460 → 2,620,116 → 4,100,416 → 4,149,504 → 7,821,182 → 4,014,754 → 2,361,674 → 1,925,494 → 962,750 → 839,986 → 600,014 — unresolved within range

Continued fraction of √n

√971,120 = [985; (2, 4, 1, 23, 1, 4, 2, 1970)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: nine hundred seventy-one thousand one hundred twenty
Ordinal: 971120th
Binary: 11101101000101110000
Octal: 3550560
Hexadecimal: 0xED170
Base64: DtFw
One's complement: 4,293,996,175 (32-bit)
Scientific notation: 9.7112 × 10⁵
As a duration: 971,120 s = 11 days, 5 hours, 45 minutes, 20 seconds

In other bases

ternary (3) 1211100010102

quaternary (4) 3231011300

quinary (5) 222033440

senary (6) 32451532

septenary (7) 11153153

nonary (9) 1740112

undecimal (11) 603687

duodecimal (12) 3a9ba8

tridecimal (13) 280037

tetradecimal (14) 1b3c9a

pentadecimal (15) 142b15

As an angle

971,120° = 2,697 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ϡοαρκʹ
Chinese: 九十七萬一千一百二十
Chinese (financial): 玖拾柒萬壹仟壹佰貳拾

In other modern scripts

Eastern Arabic ٩٧١١٢٠ Devanagari ९७११२० Bengali ৯৭১১২০ Tamil ௯௭௧௧௨௦ Thai ๙๗๑๑๒๐ Tibetan ༩༧༡༡༢༠ Khmer ៩៧១១២០ Lao ໙໗໑໑໒໐ Burmese ၉၇၁၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 971120, here are decompositions:

43 + 971077 = 971120
67 + 971053 = 971120
151 + 970969 = 971120
181 + 970939 = 971120
193 + 970927 = 971120
211 + 970909 = 971120
307 + 970813 = 971120
331 + 970789 = 971120

Showing the first eight; more decompositions exist.

Hex color

#0ED170

RGB(14, 209, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.209.112.

Address: 0.14.209.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.14.209.112

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 971,120 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 US971,120 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 971120 first appears in π at position 104,632 of the decimal expansion (the 104,632ordinal-suffix:nd 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 971120 on Pi Search ↗