Live analysis

9,972

9,972 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.).

9,972 (nine thousand nine hundred seventy-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 277. Its proper divisors sum to 15,326, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x26F4.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

9,960 9,961 9,962 9,963 9,964 9,965 9,966 9,967 9,968 9,969 9,970 9,971 9,972 9,973 9,974 9,975 9,976 9,977 9,978 9,979 9,980 9,981 9,982 9,983 9,984

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 27
Digit product: 1,134
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 2,799
Recamán's sequence: a(7,271) = 9,972
Square (n²): 99,440,784
Cube (n³): 991,623,498,048
Divisor count: 18
σ(n) — sum of divisors: 25,298
φ(n) — Euler's totient: 3,312
Sum of prime factors: 287

Primality

Prime factorization: 2 ² × 3 ² × 277

Nearest primes: 9,967 (−5) · 9,973 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 277 · 554 · 831 · 1108 · 1662 · 2493 · 3324 · 4986 (half) · 9972

Aliquot sum (sum of proper divisors): 15,326

Factor pairs (a × b = 9,972)

1 × 9972

2 × 4986

3 × 3324

4 × 2493

6 × 1662

9 × 1108

12 × 831

18 × 554

36 × 277

First multiples

9,972 · 19,944 (double) · 29,916 · 39,888 · 49,860 · 59,832 · 69,804 · 79,776 · 89,748 · 99,720

Sums & aliquot sequence

As a sum of two squares: 54² + 84²

As consecutive integers: 3,323 + 3,324 + 3,325 1,243 + 1,244 + … + 1,250 1,104 + 1,105 + … + 1,112 404 + 405 + … + 427

Aliquot sequence: 9,972 → 15,326 → 8,194 → 4,874 → 2,440 → 3,140 → 3,496 → 3,704 → 3,256 → 3,584 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 — unresolved within range

Continued fraction of √n

√9,972 = [99; (1, 6, 7, 3, 1, 14, 1, 1, 1, 1, 8, 12, 2, 1, 2, 1, 2, 2, 3, 1, 4, 1, 3, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words: nine thousand nine hundred seventy-two
Ordinal: 9972nd
Binary: 10011011110100
Octal: 23364
Hexadecimal: 0x26F4
Base64: JvQ=
One's complement: 55,563 (16-bit)
Scientific notation: 9.972 × 10³
As a duration: 9,972 s = 2 hours, 46 minutes, 12 seconds

In other bases

ternary (3) 111200100

quaternary (4) 2123310

quinary (5) 304342

senary (6) 114100

septenary (7) 41034

nonary (9) 14610

undecimal (11) 7546

duodecimal (12) 5930

tridecimal (13) 4701

tetradecimal (14) 38c4

pentadecimal (15) 2e4c

As an angle

9,972° = 27 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵θϡοβʹ
Mayan (base 20): 𝋡·𝋤·𝋲·𝋬
Chinese: 九千九百七十二
Chinese (financial): 玖仟玖佰柒拾貳

In other modern scripts

Eastern Arabic ٩٩٧٢ Devanagari ९९७२ Bengali ৯৯৭২ Tamil ௯௯௭௨ Thai ๙๙๗๒ Tibetan ༩༩༧༢ Khmer ៩៩៧២ Lao ໙໙໗໒ Burmese ၉၉၇၂

Digit at this position in famous constants

π — Pi (π): Digit 9,972 = 9
e — Euler's number (e): Digit 9,972 = 5
φ — Golden ratio (φ): Digit 9,972 = 5
√2 — Pythagoras's (√2): Digit 9,972 = 5
ln 2 — Natural log of 2: Digit 9,972 = 9
γ — Euler-Mascheroni (γ): Digit 9,972 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 9972, here are decompositions:

5 + 9967 = 9972
23 + 9949 = 9972
31 + 9941 = 9972
41 + 9931 = 9972
43 + 9929 = 9972
71 + 9901 = 9972
89 + 9883 = 9972
101 + 9871 = 9972

Showing the first eight; more decompositions exist.

Unicode codepoint

⛴

Ferry

U+26F4

Other symbol (So)

UTF-8 encoding: E2 9B B4 (3 bytes).

Lookup U+26F4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0026F4

RGB(0, 38, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.38.244.

Address: 0.0.38.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.38.244

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 9,972 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +3¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +4¢)

Position in π

The digit sequence 9972 first appears in π at position 2,241 of the decimal expansion (the 2,241ordinal-suffix:st 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 9972 on Pi Search ↗