Live analysis

1,002,460

1,002,460 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.).

1,002,460 (one million two thousand four hundred sixty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,123. Its proper divisors sum to 1,102,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BDC.

Abundant Number Arithmetic Number Centered Triangular Cube-Free Gapful Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,448 1,002,449 1,002,450 1,002,451 1,002,452 1,002,453 1,002,454 1,002,455 1,002,456 1,002,457 1,002,458 1,002,459 1,002,460 1,002,461 1,002,462 1,002,463 1,002,464 1,002,465 1,002,466 1,002,467 1,002,468 1,002,469 1,002,470 1,002,471 1,002,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 642,001
Square (n²): 1,004,926,051,600
Cube (n³): 1,007,398,169,686,936,000
Divisor count: 12
σ(n) — sum of divisors: 2,105,208
φ(n) — Euler's totient: 400,976
Sum of prime factors: 50,132

Primality

Prime factorization: 2 ² × 5 × 50123

Nearest primes: 1,002,457 (−3) · 1,002,467 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50123 · 100246 · 200492 · 250615 · 501230 (half) · 1002460

Aliquot sum (sum of proper divisors): 1,102,748

Factor pairs (a × b = 1,002,460)

1 × 1002460

2 × 501230

4 × 250615

5 × 200492

10 × 100246

20 × 50123

First multiples

1,002,460 · 2,004,920 (double) · 3,007,380 · 4,009,840 · 5,012,300 · 6,014,760 · 7,017,220 · 8,019,680 · 9,022,140 · 10,024,600

Sums & aliquot sequence

As consecutive integers: 200,490 + 200,491 + 200,492 + 200,493 + 200,494 125,304 + 125,305 + … + 125,311 25,042 + 25,043 + … + 25,081

Aliquot sequence: 1,002,460 → 1,102,748 → 879,484 → 659,620 → 892,700 → 1,086,340 → 1,274,900 → 1,954,060 → 2,251,316 → 1,709,872 → 1,603,036 → 1,202,284 → 953,324 → 715,000 → 1,253,120 → 2,058,160 → 3,097,760 — unresolved within range

Continued fraction of √n

√1,002,460 = [1001; (4, 2, 1, 3, 5, 3, 3, 1, 8, 2, 1, 1, 1, 32, 4, 1, 82, 1, 1, 1, 2, 1, 3, 1, …)]

Representations

In words: one million two thousand four hundred sixty
Ordinal: 1002460th
Binary: 11110100101111011100
Octal: 3645734
Hexadecimal: 0xF4BDC
Base64: D0vc
One's complement: 4,293,964,835 (32-bit)
Scientific notation: 1.00246 × 10⁶
As a duration: 1,002,460 s = 11 days, 14 hours, 27 minutes, 40 seconds

In other bases

ternary (3) 1212221010011

quaternary (4) 3310233130

quinary (5) 224034320

senary (6) 33253004

septenary (7) 11343424

nonary (9) 1787104

undecimal (11) 625188

duodecimal (12) 404164

tridecimal (13) 291394

tetradecimal (14) 1c1484

pentadecimal (15) 14c05a

As an angle

1,002,460° = 2,784 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千四百六十
Chinese (financial): 壹佰萬貳仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٢٤٦٠ Devanagari १००२४६० Bengali ১০০২৪৬০ Tamil ௧௦௦௨௪௬௦ Thai ๑๐๐๒๔๖๐ Tibetan ༡༠༠༢༤༦༠ Khmer ១០០២៤៦០ Lao ໑໐໐໒໔໖໐ Burmese ၁၀၀၂၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002460, here are decompositions:

3 + 1002457 = 1002460
83 + 1002377 = 1002460
101 + 1002359 = 1002460
113 + 1002347 = 1002460
197 + 1002263 = 1002460
233 + 1002227 = 1002460
269 + 1002191 = 1002460
311 + 1002149 = 1002460

Showing the first eight; more decompositions exist.

Hex color

#0F4BDC

RGB(15, 75, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.220.

Address: 0.15.75.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.220

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 1,002,460 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 US1,002,460 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002460 first appears in π at position 663,729 of the decimal expansion (the 663,729ordinal-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 1002460 on Pi Search ↗