Live analysis

998,624

998,624 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.).

998,624 (nine hundred ninety-eight thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 2,837. Its proper divisors sum to 1,146,904, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3CE0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,612 998,613 998,614 998,615 998,616 998,617 998,618 998,619 998,620 998,621 998,622 998,623 998,624 998,625 998,626 998,627 998,628 998,629 998,630 998,631 998,632 998,633 998,634 998,635 998,636

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Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 31,104
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 426,899
Square (n²): 997,249,893,376
Cube (n³): 995,877,677,522,714,624
Divisor count: 24
σ(n) — sum of divisors: 2,145,528
φ(n) — Euler's totient: 453,760
Sum of prime factors: 2,858

Primality

Prime factorization: 2 ⁵ × 11 × 2837

Nearest primes: 998,623 (−1) · 998,629 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 2837 · 5674 · 11348 · 22696 · 31207 · 45392 · 62414 · 90784 · 124828 · 249656 · 499312 (half) · 998624

Aliquot sum (sum of proper divisors): 1,146,904

Factor pairs (a × b = 998,624)

1 × 998624

2 × 499312

4 × 249656

8 × 124828

11 × 90784

16 × 62414

22 × 45392

32 × 31207

44 × 22696

88 × 11348

176 × 5674

352 × 2837

First multiples

998,624 · 1,997,248 (double) · 2,995,872 · 3,994,496 · 4,993,120 · 5,991,744 · 6,990,368 · 7,988,992 · 8,987,616 · 9,986,240

Sums & aliquot sequence

As consecutive integers: 90,779 + 90,780 + … + 90,789 15,572 + 15,573 + … + 15,635 1,067 + 1,068 + … + 1,770

Aliquot sequence: 998,624 → 1,146,904 → 1,199,216 → 1,141,408 → 1,151,540 → 1,539,148 → 1,361,652 → 1,835,724 → 2,837,364 → 4,124,556 → 6,301,496 → 5,540,704 → 6,842,576 → 7,677,328 → 7,197,526 → 5,177,258 → 2,588,632 — unresolved within range

Continued fraction of √n

√998,624 = [999; (3, 4, 1, 4, 2, 22, 285, 2, 8, 1, 3, 1, 11, 1, 2, 3, 2, 40, 2, 1, 4, 1, 8, 1, …)]

Representations

In words: nine hundred ninety-eight thousand six hundred twenty-four
Ordinal: 998624th
Binary: 11110011110011100000
Octal: 3636340
Hexadecimal: 0xF3CE0
Base64: Dzzg
One's complement: 4,293,968,671 (32-bit)
Scientific notation: 9.98624 × 10⁵
As a duration: 998,624 s = 11 days, 13 hours, 23 minutes, 44 seconds

In other bases

ternary (3) 1212201212002

quaternary (4) 3303303200

quinary (5) 223423444

senary (6) 33223132

septenary (7) 11326304

nonary (9) 1781762

undecimal (11) 622310

duodecimal (12) 401aa8

tridecimal (13) 28c703

tetradecimal (14) 1bdd04

pentadecimal (15) 14ad4e

As an angle

998,624° = 2,773 × 360° + 344°

344° ≈ 6.004 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηχκδʹ
Chinese: 九十九萬八千六百二十四
Chinese (financial): 玖拾玖萬捌仟陸佰貳拾肆

In other modern scripts

Eastern Arabic ٩٩٨٦٢٤ Devanagari ९९८६२४ Bengali ৯৯৮৬২৪ Tamil ௯௯௮௬௨௪ Thai ๙๙๘๖๒๔ Tibetan ༩༩༨༦༢༤ Khmer ៩៩៨៦២៤ Lao ໙໙໘໖໒໔ Burmese ၉၉၈၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998624, here are decompositions:

7 + 998617 = 998624
73 + 998551 = 998624
97 + 998527 = 998624
127 + 998497 = 998624
181 + 998443 = 998624
271 + 998353 = 998624
313 + 998311 = 998624
337 + 998287 = 998624

Showing the first eight; more decompositions exist.

Hex color

#0F3CE0

RGB(15, 60, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.224.

Address: 0.15.60.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.60.224

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 998,624 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US998,624 on Google Patents ↗ Look up on USPTO ↗