Live analysis

2,523

2,523 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.).

2,523 (two thousand five hundred twenty-three) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3 × 29². Written other ways, in Roman numerals it is MMDXXIII and in binary, 100111011011.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

2,511 2,512 2,513 2,514 2,515 2,516 2,517 2,518 2,519 2,520 2,521 2,522 2,523 2,524 2,525 2,526 2,527 2,528 2,529 2,530 2,531 2,532 2,533 2,534 2,535

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 12
Digit product: 60
Digital root: 3
Palindrome: No
Bit width: 12 bits
Reversed: 3,252
Recamán's sequence: a(865) = 2,523
Square (n²): 6,365,529
Cube (n³): 16,060,229,667
Divisor count: 6
σ(n) — sum of divisors: 3,484
φ(n) — Euler's totient: 1,624
Sum of prime factors: 61

Primality

Prime factorization: 3 × 29 ²

Nearest primes: 2,521 (−2) · 2,531 (+8)

Divisors & multiples

All divisors (6)

1 · 3 · 29 · 87 · 841 · 2523

Aliquot sum (sum of proper divisors): 961

Factor pairs (a × b = 2,523)

1 × 2523

3 × 841

29 × 87

First multiples

2,523 · 5,046 (double) · 7,569 · 10,092 · 12,615 · 15,138 · 17,661 · 20,184 · 22,707 · 25,230

Sums & aliquot sequence

As consecutive integers: 1,261 + 1,262 840 + 841 + 842 418 + 419 + 420 + 421 + 422 + 423 73 + 74 + … + 101

Aliquot sequence: 2,523 → 961 → 32 → 31 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,523 = [50; (4, 2, 1, 3, 1, 6, 1, 15, 1, 6, 1, 3, 1, 2, 4, 100)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: two thousand five hundred twenty-three
Ordinal: 2523rd
Roman numeral: MMDXXIII
Binary: 100111011011
Octal: 4733
Hexadecimal: 0x9DB
Base64: Cds=
One's complement: 63,012 (16-bit)
Scientific notation: 2.523 × 10³
As a duration: 2,523 s = 42 minutes, 3 seconds

In other bases

ternary (3) 10110110

quaternary (4) 213123

quinary (5) 40043

senary (6) 15403

septenary (7) 10233

nonary (9) 3413

undecimal (11) 1994

duodecimal (12) 1563

tridecimal (13) 11c1

tetradecimal (14) cc3

pentadecimal (15) b33

As an angle

2,523° = 7 × 360° + 3°

3° ≈ 0.052 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵βφκγʹ
Mayan (base 20): 𝋦·𝋦·𝋣
Chinese: 二千五百二十三
Chinese (financial): 貳仟伍佰貳拾參

In other modern scripts

Eastern Arabic ٢٥٢٣ Devanagari २५२३ Bengali ২৫২৩ Tamil ௨௫௨௩ Thai ๒๕๒๓ Tibetan ༢༥༢༣ Khmer ២៥២៣ Lao ໒໕໒໓ Burmese ၂၅၂၃

Digit at this position in famous constants

π — Pi (π): Digit 2,523 = 9
e — Euler's number (e): Digit 2,523 = 8
φ — Golden ratio (φ): Digit 2,523 = 5
√2 — Pythagoras's (√2): Digit 2,523 = 6
ln 2 — Natural log of 2: Digit 2,523 = 1
γ — Euler-Mascheroni (γ): Digit 2,523 = 0

Also seen as

Hex color

#0009DB

RGB(0, 9, 219)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.219.

Address: 0.0.9.219
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.219

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

Musical pitch

Heard as a frequency, 2,523 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): E7 (2580.3 Hz, -39¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, +25¢)

Position in π

The digit sequence 2523 first appears in π at position 3,020 of the decimal expansion (the 3,020ordinal-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.

Look up 2523 on Pi Search ↗