3,632,376

2³ × 3 × 11 × 13759

3,632,376 has digital root 3. The neighboring primes are 3632371 and 3632381; its proper-divisor sum differs from the starting integer by 2,642,448.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13759

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,907,200

Proper Divisor Sum 6,274,824

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3632371 ← → #3632381

Radix Representation

Decimal	3632376
Binary	1101110110110011111000 (22 bits)
Octal	0o15666370
Hexadecimal	0x376CF8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 13,759 27,518 41,277 55,036 82,554 110,072 151,349 165,108 302,698 330,216 454,047 605,396 908,094 1,210,792 1,816,188 3,632,376

Collatz Trajectory (110 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,632,376 1,816,188 908,094 454,047 1,362,142 681,071 2,043,214 1,021,607 3,064,822 1,532,411 4,597,234 2,298,617 6,895,852 3,447,926 1,723,963 5,171,890 2,585,945 7,757,836 3,878,918 1,939,459 5,818,378 2,909,189 8,727,568 4,363,784 2,181,892 1,090,946 545,473 1,636,420 818,210 409,105 1,227,316 613,658 306,829 920,488 460,244 230,122 115,061 345,184 172,592 86,296 43,148 21,574 10,787 32,362 16,181 48,544 24,272 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641

← Previous Integer #3,632,375 Browse Full Index Next Integer #3,632,377 →