Live analysis

1,002,402

1,002,402 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.).

1,002,402 (one million two thousand four hundred two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 19 × 977. Its proper divisors sum to 1,344,798, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BA2.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,390 1,002,391 1,002,392 1,002,393 1,002,394 1,002,395 1,002,396 1,002,397 1,002,398 1,002,399 1,002,400 1,002,401 1,002,402 1,002,403 1,002,404 1,002,405 1,002,406 1,002,407 1,002,408 1,002,409 1,002,410 1,002,411 1,002,412 1,002,413 1,002,414

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,042,001
Square (n²): 1,004,809,769,604
Cube (n³): 1,007,223,322,670,588,808
Divisor count: 32
σ(n) — sum of divisors: 2,347,200
φ(n) — Euler's totient: 316,224
Sum of prime factors: 1,007

Primality

Prime factorization: 2 × 3 ³ × 19 × 977

Nearest primes: 1,002,377 (−25) · 1,002,403 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 27 · 38 · 54 · 57 · 114 · 171 · 342 · 513 · 977 · 1026 · 1954 · 2931 · 5862 · 8793 · 17586 · 18563 · 26379 · 37126 · 52758 · 55689 · 111378 · 167067 · 334134 · 501201 (half) · 1002402

Aliquot sum (sum of proper divisors): 1,344,798

Factor pairs (a × b = 1,002,402)

1 × 1002402

2 × 501201

3 × 334134

6 × 167067

9 × 111378

18 × 55689

19 × 52758

27 × 37126

38 × 26379

54 × 18563

57 × 17586

114 × 8793

171 × 5862

342 × 2931

513 × 1954

977 × 1026

First multiples

1,002,402 · 2,004,804 (double) · 3,007,206 · 4,009,608 · 5,012,010 · 6,014,412 · 7,016,814 · 8,019,216 · 9,021,618 · 10,024,020

Sums & aliquot sequence

As consecutive integers: 334,133 + 334,134 + 334,135 250,599 + 250,600 + 250,601 + 250,602 111,374 + 111,375 + … + 111,382 83,528 + 83,529 + … + 83,539

Aliquot sequence: 1,002,402 → 1,344,798 → 2,245,698 → 3,909,822 → 5,109,570 → 8,175,546 → 10,184,454 → 16,382,790 → 28,268,730 → 57,889,350 → 103,305,690 → 165,289,338 → 192,837,600 → 487,181,376 → 1,126,149,408 → 2,076,338,790 → 3,414,761,370 — unresolved within range

Continued fraction of √n

√1,002,402 = [1001; (4, 1, 142, 4, 2, 1, 2, 40, 2, 40, 2, 1, 2, 4, 142, 1, 4, 2002)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million two thousand four hundred two
Ordinal: 1002402nd
Binary: 11110100101110100010
Octal: 3645642
Hexadecimal: 0xF4BA2
Base64: D0ui
One's complement: 4,293,964,893 (32-bit)
Scientific notation: 1.002402 × 10⁶
As a duration: 1,002,402 s = 11 days, 14 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 1212221001000

quaternary (4) 3310232202

quinary (5) 224034102

senary (6) 33252430

septenary (7) 11343312

nonary (9) 1787030

undecimal (11) 625135

duodecimal (12) 404116

tridecimal (13) 29134b

tetradecimal (14) 1c1442

pentadecimal (15) 14c01c

As an angle

1,002,402° = 2,784 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺
Chinese: 一百萬二千四百零二
Chinese (financial): 壹佰萬貳仟肆佰零貳

In other modern scripts

Eastern Arabic ١٠٠٢٤٠٢ Devanagari १००२४०२ Bengali ১০০২৪০২ Tamil ௧௦௦௨௪௦௨ Thai ๑๐๐๒๔๐๒ Tibetan ༡༠༠༢༤༠༢ Khmer ១០០២៤០២ Lao ໑໐໐໒໔໐໒ Burmese ၁၀၀၂၄၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002402, here are decompositions:

41 + 1002361 = 1002402
43 + 1002359 = 1002402
53 + 1002349 = 1002402
59 + 1002343 = 1002402
61 + 1002341 = 1002402
103 + 1002299 = 1002402
113 + 1002289 = 1002402
139 + 1002263 = 1002402

Showing the first eight; more decompositions exist.

Hex color

#0F4BA2

RGB(15, 75, 162)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.162.

Address: 0.15.75.162
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.162

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 1,002,402 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 US1,002,402 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002402 first appears in π at position 745,330 of the decimal expansion (the 745,330ordinal-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 1002402 on Pi Search ↗