Live analysis

2,961

2,961 is a composite number, odd.

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.).

2,961 (two thousand nine hundred sixty-one) is an odd 4-digit number. It is a composite number with 12 divisors, and factors as 3² × 7 × 47. Written other ways, in Roman numerals it is MMCMLXI and in binary, 101110010001.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

2,949 2,950 2,951 2,952 2,953 2,954 2,955 2,956 2,957 2,958 2,959 2,960 2,961 2,962 2,963 2,964 2,965 2,966 2,967 2,968 2,969 2,970 2,971 2,972 2,973

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 18
Digit product: 108
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 1,692
Recamán's sequence: a(1,253) = 2,961
Square (n²): 8,767,521
Cube (n³): 25,960,629,681
Divisor count: 12
σ(n) — sum of divisors: 4,992
φ(n) — Euler's totient: 1,656
Sum of prime factors: 60

Primality

Prime factorization: 3 ² × 7 × 47

Nearest primes: 2,957 (−4) · 2,963 (+2)

Divisors & multiples

All divisors (12)

1 · 3 · 7 · 9 · 21 · 47 · 63 · 141 · 329 · 423 · 987 · 2961

Aliquot sum (sum of proper divisors): 2,031

Factor pairs (a × b = 2,961)

1 × 2961

3 × 987

7 × 423

9 × 329

21 × 141

47 × 63

First multiples

2,961 · 5,922 (double) · 8,883 · 11,844 · 14,805 · 17,766 · 20,727 · 23,688 · 26,649 · 29,610

Sums & aliquot sequence

As consecutive integers: 1,480 + 1,481 986 + 987 + 988 491 + 492 + 493 + 494 + 495 + 496 420 + 421 + … + 426

Aliquot sequence: 2,961 → 2,031 → 681 → 231 → 153 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,961 = [54; (2, 2, 2, 3, 1, 14, 1, 3, 2, 2, 2, 108)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: two thousand nine hundred sixty-one
Ordinal: 2961st
Roman numeral: MMCMLXI
Binary: 101110010001
Octal: 5621
Hexadecimal: 0xB91
Base64: C5E=
One's complement: 62,574 (16-bit)
Scientific notation: 2.961 × 10³
As a duration: 2,961 s = 49 minutes, 21 seconds

In other bases

ternary (3) 11001200

quaternary (4) 232101

quinary (5) 43321

senary (6) 21413

septenary (7) 11430

nonary (9) 4050

undecimal (11) 2252

duodecimal (12) 1869

tridecimal (13) 146a

tetradecimal (14) 1117

pentadecimal (15) d26

As an angle

2,961° = 8 × 360° + 81°

81° ≈ 1.414 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βϡξαʹ
Mayan (base 20): 𝋧·𝋨·𝋡
Chinese: 二千九百六十一
Chinese (financial): 貳仟玖佰陸拾壹

In other modern scripts

Eastern Arabic ٢٩٦١ Devanagari २९६१ Bengali ২৯৬১ Tamil ௨௯௬௧ Thai ๒๙๖๑ Tibetan ༢༩༦༡ Khmer ២៩៦១ Lao ໒໙໖໑ Burmese ၂၉၆၁

Digit at this position in famous constants

π — Pi (π): Digit 2,961 = 1
e — Euler's number (e): Digit 2,961 = 3
φ — Golden ratio (φ): Digit 2,961 = 8
√2 — Pythagoras's (√2): Digit 2,961 = 8
ln 2 — Natural log of 2: Digit 2,961 = 2
γ — Euler-Mascheroni (γ): Digit 2,961 = 3

Also seen as

Hex color

#000B91

RGB(0, 11, 145)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.145.

Address: 0.0.11.145
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.145

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

Musical pitch

Heard as a frequency, 2,961 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +1¢)
Scientific pitch (C4 = 256 Hz): F♯7 (2896.3 Hz, +38¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +2¢)

Position in π

The digit sequence 2961 first appears in π at position 2,342 of the decimal expansion (the 2,342ordinal-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 2961 on Pi Search ↗