Live analysis

2,502

2,502 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.).

2,502 (two thousand five hundred two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 139. Its proper divisors sum to 2,958, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDII and in binary, 100111000110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,490 2,491 2,492 2,493 2,494 2,495 2,496 2,497 2,498 2,499 2,500 2,501 2,502 2,503 2,504 2,505 2,506 2,507 2,508 2,509 2,510 2,511 2,512 2,513 2,514

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 2,052
Recamán's sequence: a(15,635) = 2,502
Square (n²): 6,260,004
Cube (n³): 15,662,530,008
Divisor count: 12
σ(n) — sum of divisors: 5,460
φ(n) — Euler's totient: 828
Sum of prime factors: 147

Primality

Prime factorization: 2 × 3 ² × 139

Nearest primes: 2,477 (−25) · 2,503 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 139 · 278 · 417 · 834 · 1251 (half) · 2502

Aliquot sum (sum of proper divisors): 2,958

Factor pairs (a × b = 2,502)

1 × 2502

2 × 1251

3 × 834

6 × 417

9 × 278

18 × 139

First multiples

2,502 · 5,004 (double) · 7,506 · 10,008 · 12,510 · 15,012 · 17,514 · 20,016 · 22,518 · 25,020

Sums & aliquot sequence

As consecutive integers: 833 + 834 + 835 624 + 625 + 626 + 627 274 + 275 + … + 282 203 + 204 + … + 214

Aliquot sequence: 2,502 → 2,958 → 3,522 → 3,534 → 4,146 → 4,158 → 7,362 → 8,628 → 11,532 → 16,272 → 29,670 → 46,362 → 46,374 → 48,666 → 48,678 → 70,362 → 86,118 — unresolved within range

Continued fraction of √n

√2,502 = [50; (50, 100)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: two thousand five hundred two
Ordinal: 2502nd
Roman numeral: MMDII
Binary: 100111000110
Octal: 4706
Hexadecimal: 0x9C6
Base64: CcY=
One's complement: 63,033 (16-bit)
Scientific notation: 2.502 × 10³
As a duration: 2,502 s = 41 minutes, 42 seconds

In other bases

ternary (3) 10102200

quaternary (4) 213012

quinary (5) 40002

senary (6) 15330

septenary (7) 10203

nonary (9) 3380

undecimal (11) 1975

duodecimal (12) 1546

tridecimal (13) 11a6

tetradecimal (14) caa

pentadecimal (15) b1c

As an angle

2,502° = 6 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian): ͵βφβʹ
Mayan (base 20): 𝋦·𝋥·𝋢
Chinese: 二千五百零二
Chinese (financial): 貳仟伍佰零貳

In other modern scripts

Eastern Arabic ٢٥٠٢ Devanagari २५०२ Bengali ২৫০২ Tamil ௨௫௦௨ Thai ๒๕๐๒ Tibetan ༢༥༠༢ Khmer ២៥០២ Lao ໒໕໐໒ Burmese ၂၅၀၂

Digit at this position in famous constants

π — Pi (π): Digit 2,502 = 1
e — Euler's number (e): Digit 2,502 = 8
φ — Golden ratio (φ): Digit 2,502 = 2
√2 — Pythagoras's (√2): Digit 2,502 = 5
ln 2 — Natural log of 2: Digit 2,502 = 9
γ — Euler-Mascheroni (γ): Digit 2,502 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2502, here are decompositions:

29 + 2473 = 2502
43 + 2459 = 2502
61 + 2441 = 2502
79 + 2423 = 2502
103 + 2399 = 2502
109 + 2393 = 2502
113 + 2389 = 2502
131 + 2371 = 2502

Showing the first eight; more decompositions exist.

Hex color

#0009C6

RGB(0, 9, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.198.

Address: 0.0.9.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.198

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

Musical pitch

Heard as a frequency, 2,502 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, +9¢)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, +47¢ — about midway to E7)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, +10¢)

Position in π

The digit sequence 2502 first appears in π at position 36,967 of the decimal expansion (the 36,967ordinal-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 2502 on Pi Search ↗