Live analysis

2,590

2,590 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.).

2,590 (two thousand five hundred ninety) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 37. Its proper divisors sum to 2,882, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDXC and in binary, 101000011110.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,578 2,579 2,580 2,581 2,582 2,583 2,584 2,585 2,586 2,587 2,588 2,589 2,590 2,591 2,592 2,593 2,594 2,595 2,596 2,597 2,598 2,599 2,600 2,601 2,602

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 952
Recamán's sequence: a(7,452) = 2,590
Square (n²): 6,708,100
Cube (n³): 17,373,979,000
Divisor count: 16
σ(n) — sum of divisors: 5,472
φ(n) — Euler's totient: 864
Sum of prime factors: 51

Primality

Prime factorization: 2 × 5 × 7 × 37

Nearest primes: 2,579 (−11) · 2,591 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 7 · 10 · 14 · 35 · 37 · 70 · 74 · 185 · 259 · 370 · 518 · 1295 (half) · 2590

Aliquot sum (sum of proper divisors): 2,882

Factor pairs (a × b = 2,590)

1 × 2590

2 × 1295

5 × 518

7 × 370

10 × 259

14 × 185

35 × 74

37 × 70

First multiples

2,590 · 5,180 (double) · 7,770 · 10,360 · 12,950 · 15,540 · 18,130 · 20,720 · 23,310 · 25,900

Sums & aliquot sequence

As consecutive integers: 646 + 647 + 648 + 649 516 + 517 + 518 + 519 + 520 367 + 368 + … + 373 120 + 121 + … + 139

Aliquot sequence: 2,590 → 2,882 → 1,870 → 2,018 → 1,012 → 1,004 → 760 → 1,040 → 1,564 → 1,460 → 1,648 → 1,576 → 1,394 → 874 → 566 → 286 → 218 — unresolved within range

Continued fraction of √n

√2,590 = [50; (1, 8, 3, 1, 4, 11, 10, 11, 4, 1, 3, 8, 1, 100)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: two thousand five hundred ninety
Ordinal: 2590th
Roman numeral: MMDXC
Binary: 101000011110
Octal: 5036
Hexadecimal: 0xA1E
Base64: Ch4=
One's complement: 62,945 (16-bit)
Scientific notation: 2.59 × 10³
As a duration: 2,590 s = 43 minutes, 10 seconds

In other bases

ternary (3) 10112221

quaternary (4) 220132

quinary (5) 40330

senary (6) 15554

septenary (7) 10360

nonary (9) 3487

undecimal (11) 1a45

duodecimal (12) 15ba

tridecimal (13) 1243

tetradecimal (14) d30

pentadecimal (15) b7a

As an angle

2,590° = 7 × 360° + 70°

70° ≈ 1.222 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵βφϟʹ
Mayan (base 20): 𝋦·𝋩·𝋪
Chinese: 二千五百九十
Chinese (financial): 貳仟伍佰玖拾

In other modern scripts

Eastern Arabic ٢٥٩٠ Devanagari २५९० Bengali ২৫৯০ Tamil ௨௫௯௦ Thai ๒๕๙๐ Tibetan ༢༥༩༠ Khmer ២៥៩០ Lao ໒໕໙໐ Burmese ၂၅၉၀

Digit at this position in famous constants

π — Pi (π): Digit 2,590 = 0
e — Euler's number (e): Digit 2,590 = 3
φ — Golden ratio (φ): Digit 2,590 = 5
√2 — Pythagoras's (√2): Digit 2,590 = 4
ln 2 — Natural log of 2: Digit 2,590 = 2
γ — Euler-Mascheroni (γ): Digit 2,590 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2590, here are decompositions:

11 + 2579 = 2590
41 + 2549 = 2590
47 + 2543 = 2590
59 + 2531 = 2590
113 + 2477 = 2590
131 + 2459 = 2590
149 + 2441 = 2590
167 + 2423 = 2590

Showing the first eight; more decompositions exist.

Unicode codepoint

ਞ

Gurmukhi Letter Nya

U+0A1E

Other letter (Lo)

UTF-8 encoding: E0 A8 9E (3 bytes).

Lookup U+0A1E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000A1E

RGB(0, 10, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.30.

Address: 0.0.10.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.10.30

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

Musical pitch

Heard as a frequency, 2,590 Hz is closest to:

Concert pitch (A4 = 440 Hz): E7 (2637 Hz, -31¢)
Scientific pitch (C4 = 256 Hz): E7 (2580.3 Hz, +6¢)
Baroque pitch (A4 = 415 Hz): F7 (2635.1 Hz, -30¢)

Position in π

The digit sequence 2590 first appears in π at position 354 of the decimal expansion (the 354ordinal-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 2590 on Pi Search ↗