Live analysis

1,001,600

1,001,600 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.).

1,001,600 (one million one thousand six hundred) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 5² × 313. Its proper divisors sum to 1,480,570, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4880.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,588 1,001,589 1,001,590 1,001,591 1,001,592 1,001,593 1,001,594 1,001,595 1,001,596 1,001,597 1,001,598 1,001,599 1,001,600 1,001,601 1,001,602 1,001,603 1,001,604 1,001,605 1,001,606 1,001,607 1,001,608 1,001,609 1,001,610 1,001,611 1,001,612

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 61,001
Flips to (rotate 180°): 91,001
Square (n²): 1,003,202,560,000
Cube (n³): 1,004,807,684,096,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,482,170
φ(n) — Euler's totient: 399,360
Sum of prime factors: 337

Primality

Prime factorization: 2 ⁷ × 5 ² × 313

Nearest primes: 1,001,593 (−7) · 1,001,621 (+21)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 128 · 160 · 200 · 313 · 320 · 400 · 626 · 640 · 800 · 1252 · 1565 · 1600 · 2504 · 3130 · 3200 · 5008 · 6260 · 7825 · 10016 · 12520 · 15650 · 20032 · 25040 · 31300 · 40064 · 50080 · 62600 · 100160 · 125200 · 200320 · 250400 · 500800 (half) · 1001600

Aliquot sum (sum of proper divisors): 1,480,570

Factor pairs (a × b = 1,001,600)

1 × 1001600

2 × 500800

4 × 250400

5 × 200320

8 × 125200

10 × 100160

16 × 62600

20 × 50080

25 × 40064

32 × 31300

40 × 25040

50 × 20032

64 × 15650

80 × 12520

100 × 10016

128 × 7825

160 × 6260

200 × 5008

313 × 3200

320 × 3130

400 × 2504

626 × 1600

640 × 1565

800 × 1252

First multiples

1,001,600 · 2,003,200 (double) · 3,004,800 · 4,006,400 · 5,008,000 · 6,009,600 · 7,011,200 · 8,012,800 · 9,014,400 · 10,016,000

Sums & aliquot sequence

As a sum of two squares: 40² + 1,000² = 568² + 824² = 632² + 776²

As consecutive integers: 200,318 + 200,319 + 200,320 + 200,321 + 200,322 40,052 + 40,053 + … + 40,076 3,785 + 3,786 + … + 4,040 3,044 + 3,045 + … + 3,356

Aliquot sequence: 1,001,600 → 1,480,570 → 1,801,478 → 1,286,794 → 745,046 → 372,526 → 353,234 → 279,214 → 171,866 → 85,936 → 85,928 → 82,552 → 81,608 → 72,937 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,001,600 = [1000; (1, 3, 1, 124, 3, 2, 1, 499, 1, 2, 3, 124, 1, 3, 1, 2000)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million one thousand six hundred
Ordinal: 1001600th
Binary: 11110100100010000000
Octal: 3644200
Hexadecimal: 0xF4880
Base64: D0iA
One's complement: 4,293,965,695 (32-bit)
Scientific notation: 1.0016 × 10⁶
As a duration: 1,001,600 s = 11 days, 14 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1212212221022

quaternary (4) 3310202000

quinary (5) 224022400

senary (6) 33245012

septenary (7) 11341055

nonary (9) 1785838

undecimal (11) 624576

duodecimal (12) 403768

tridecimal (13) 290b82

tetradecimal (14) 1c102c

pentadecimal (15) 14bb85

As an angle

1,001,600° = 2,782 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬一千六百
Chinese (financial): 壹佰萬壹仟陸佰

In other modern scripts

Eastern Arabic ١٠٠١٦٠٠ Devanagari १००१६०० Bengali ১০০১৬০০ Tamil ௧௦௦௧௬௦௦ Thai ๑๐๐๑๖๐๐ Tibetan ༡༠༠༡༦༠༠ Khmer ១០០១៦០០ Lao ໑໐໐໑໖໐໐ Burmese ၁၀၀၁၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001600, here are decompositions:

7 + 1001593 = 1001600
13 + 1001587 = 1001600
31 + 1001569 = 1001600
37 + 1001563 = 1001600
73 + 1001527 = 1001600
109 + 1001491 = 1001600
199 + 1001401 = 1001600
211 + 1001389 = 1001600

Showing the first eight; more decompositions exist.

Hex color

#0F4880

RGB(15, 72, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.128.

Address: 0.15.72.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.128

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 1,001,600 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 US1,001,600 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001600 first appears in π at position 525,398 of the decimal expansion (the 525,398ordinal-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 1001600 on Pi Search ↗