Live analysis

1,013,700

1,013,700 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.).

1,013,700 (one million thirteen thousand seven hundred) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5² × 31 × 109. Its proper divisors sum to 2,041,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77C4.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,688 1,013,689 1,013,690 1,013,691 1,013,692 1,013,693 1,013,694 1,013,695 1,013,696 1,013,697 1,013,698 1,013,699 1,013,700 1,013,701 1,013,702 1,013,703 1,013,704 1,013,705 1,013,706 1,013,707 1,013,708 1,013,709 1,013,710 1,013,711 1,013,712

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 73,101
Square (n²): 1,027,587,690,000
Cube (n³): 1,041,665,641,353,000,000
Divisor count: 72
σ(n) — sum of divisors: 3,055,360
φ(n) — Euler's totient: 259,200
Sum of prime factors: 157

Primality

Prime factorization: 2 ² × 3 × 5 ² × 31 × 109

Nearest primes: 1,013,699 (−1) · 1,013,711 (+11)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 31 · 50 · 60 · 62 · 75 · 93 · 100 · 109 · 124 · 150 · 155 · 186 · 218 · 300 · 310 · 327 · 372 · 436 · 465 · 545 · 620 · 654 · 775 · 930 · 1090 · 1308 · 1550 · 1635 · 1860 · 2180 · 2325 · 2725 · 3100 · 3270 · 3379 · 4650 · 5450 · 6540 · 6758 · 8175 · 9300 · 10137 · 10900 · 13516 · 16350 · 16895 · 20274 · 32700 · 33790 · 40548 · 50685 · 67580 · 84475 · 101370 · 168950 · 202740 · 253425 · 337900 · 506850 (half) · 1013700

Aliquot sum (sum of proper divisors): 2,041,660

Factor pairs (a × b = 1,013,700)

1 × 1013700

2 × 506850

3 × 337900

4 × 253425

5 × 202740

6 × 168950

10 × 101370

12 × 84475

15 × 67580

20 × 50685

25 × 40548

30 × 33790

31 × 32700

50 × 20274

60 × 16895

62 × 16350

75 × 13516

93 × 10900

100 × 10137

109 × 9300

124 × 8175

150 × 6758

155 × 6540

186 × 5450

218 × 4650

300 × 3379

310 × 3270

327 × 3100

372 × 2725

436 × 2325

465 × 2180

545 × 1860

620 × 1635

654 × 1550

775 × 1308

930 × 1090

First multiples

1,013,700 · 2,027,400 (double) · 3,041,100 · 4,054,800 · 5,068,500 · 6,082,200 · 7,095,900 · 8,109,600 · 9,123,300 · 10,137,000

Sums & aliquot sequence

As consecutive integers: 337,899 + 337,900 + 337,901 202,738 + 202,739 + 202,740 + 202,741 + 202,742 126,709 + 126,710 + … + 126,716 67,573 + 67,574 + … + 67,587

Aliquot sequence: 1,013,700 → 2,041,660 → 2,554,820 → 2,854,780 → 3,269,828 → 2,452,378 → 1,226,192 → 1,365,904 → 1,280,566 → 997,154 → 498,580 → 563,348 → 422,518 → 266,522 → 133,264 → 124,966 → 62,486 — unresolved within range

Continued fraction of √n

√1,013,700 = [1006; (1, 4, 1, 3, 2, 1, 4, 1, 26, 41, 17, 2, 1, 79, 1, 6, 1, 7, 4, 1, 2, 2, 26, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seven hundred
Ordinal: 1013700th
Binary: 11110111011111000100
Octal: 3673704
Hexadecimal: 0xF77C4
Base64: D3fE
One's complement: 4,293,953,595 (32-bit)
Scientific notation: 1.0137 × 10⁶
As a duration: 1,013,700 s = 11 days, 17 hours, 35 minutes

In other bases

ternary (3) 1220111112110

quaternary (4) 3313133010

quinary (5) 224414300

senary (6) 33421020

septenary (7) 11421252

nonary (9) 1814473

undecimal (11) 632676

duodecimal (12) 40a770

tridecimal (13) 29652c

tetradecimal (14) 1c55d2

pentadecimal (15) 150550

As an angle

1,013,700° = 2,815 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零一萬三千七百
Chinese (financial): 壹佰零壹萬參仟柒佰

In other modern scripts

Eastern Arabic ١٠١٣٧٠٠ Devanagari १०१३७०० Bengali ১০১৩৭০০ Tamil ௧௦௧௩௭௦௦ Thai ๑๐๑๓๗๐๐ Tibetan ༡༠༡༣༧༠༠ Khmer ១០១៣៧០០ Lao ໑໐໑໓໗໐໐ Burmese ၁၀၁၃၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013700, here are decompositions:

13 + 1013687 = 1013700
19 + 1013681 = 1013700
29 + 1013671 = 1013700
59 + 1013641 = 1013700
71 + 1013629 = 1013700
73 + 1013627 = 1013700
97 + 1013603 = 1013700
131 + 1013569 = 1013700

Showing the first eight; more decompositions exist.

Hex color

#0F77C4

RGB(15, 119, 196)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.196.

Address: 0.15.119.196
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.196

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3700 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3700-10-01 (MMDYYYY (US, single-digit day))
3700-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,700 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 US1,013,700 on Google Patents ↗ Look up on USPTO ↗