Live analysis

1,002,496

1,002,496 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.).

1,002,496 (one million two thousand four hundred ninety-six) is an even 7-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 11 × 89. Its proper divisors sum to 1,208,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4C00.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,484 1,002,485 1,002,486 1,002,487 1,002,488 1,002,489 1,002,490 1,002,491 1,002,492 1,002,493 1,002,494 1,002,495 1,002,496 1,002,497 1,002,498 1,002,499 1,002,500 1,002,501 1,002,502 1,002,503 1,002,504 1,002,505 1,002,506 1,002,507 1,002,508

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,942,001
Square (n²): 1,004,998,230,016
Cube (n³): 1,007,506,705,598,119,936
Divisor count: 44
σ(n) — sum of divisors: 2,210,760
φ(n) — Euler's totient: 450,560
Sum of prime factors: 120

Primality

Prime factorization: 2 ¹⁰ × 11 × 89

Nearest primes: 1,002,493 (−3) · 1,002,503 (+7)

Divisors & multiples

All divisors (44)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 64 · 88 · 89 · 128 · 176 · 178 · 256 · 352 · 356 · 512 · 704 · 712 · 979 · 1024 · 1408 · 1424 · 1958 · 2816 · 2848 · 3916 · 5632 · 5696 · 7832 · 11264 · 11392 · 15664 · 22784 · 31328 · 45568 · 62656 · 91136 · 125312 · 250624 · 501248 (half) · 1002496

Aliquot sum (sum of proper divisors): 1,208,264

Factor pairs (a × b = 1,002,496)

1 × 1002496

2 × 501248

4 × 250624

8 × 125312

11 × 91136

16 × 62656

22 × 45568

32 × 31328

44 × 22784

64 × 15664

88 × 11392

89 × 11264

128 × 7832

176 × 5696

178 × 5632

256 × 3916

352 × 2848

356 × 2816

512 × 1958

704 × 1424

712 × 1408

979 × 1024

First multiples

1,002,496 · 2,004,992 (double) · 3,007,488 · 4,009,984 · 5,012,480 · 6,014,976 · 7,017,472 · 8,019,968 · 9,022,464 · 10,024,960

Sums & aliquot sequence

As consecutive integers: 91,131 + 91,132 + … + 91,141 11,220 + 11,221 + … + 11,308 535 + 536 + … + 1,513

Aliquot sequence: 1,002,496 → 1,208,264 → 1,084,036 → 895,676 → 671,764 → 565,836 → 777,828 → 1,072,860 → 1,931,316 → 2,601,324 → 4,573,116 → 6,986,796 → 10,885,044 → 14,617,356 → 22,113,828 → 38,867,820 → 70,238,100 — unresolved within range

Continued fraction of √n

√1,002,496 = [1001; (4, 22, 4, 2002)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million two thousand four hundred ninety-six
Ordinal: 1002496th
Binary: 11110100110000000000
Octal: 3646000
Hexadecimal: 0xF4C00
Base64: D0wA
One's complement: 4,293,964,799 (32-bit)
Scientific notation: 1.002496 × 10⁶
As a duration: 1,002,496 s = 11 days, 14 hours, 28 minutes, 16 seconds

In other bases

ternary (3) 1212221011111

quaternary (4) 3310300000

quinary (5) 224034441

senary (6) 33253104

septenary (7) 11343505

nonary (9) 1787144

undecimal (11) 625210

duodecimal (12) 404194

tridecimal (13) 2913c1

tetradecimal (14) 1c14ac

pentadecimal (15) 14c081

As an angle

1,002,496° = 2,784 × 360° + 256°

256° ≈ 4.468 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千四百九十六
Chinese (financial): 壹佰萬貳仟肆佰玖拾陸

In other modern scripts

Eastern Arabic ١٠٠٢٤٩٦ Devanagari १००२४९६ Bengali ১০০২৪৯৬ Tamil ௧௦௦௨௪௯௬ Thai ๑๐๐๒๔๙๖ Tibetan ༡༠༠༢༤༩༦ Khmer ១០០២៤៩៦ Lao ໑໐໐໒໔໙໖ Burmese ၁၀၀၂၄၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002496, here are decompositions:

3 + 1002493 = 1002496
29 + 1002467 = 1002496
137 + 1002359 = 1002496
149 + 1002347 = 1002496
197 + 1002299 = 1002496
233 + 1002263 = 1002496
239 + 1002257 = 1002496
269 + 1002227 = 1002496

Showing the first eight; more decompositions exist.

Hex color

#0F4C00

RGB(15, 76, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.76.0.

Address: 0.15.76.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.76.0

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 1,002,496 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 US1,002,496 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002496 first appears in π at position 304,694 of the decimal expansion (the 304,694ordinal-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 1002496 on Pi Search ↗