36,907,146

2 × 3² × 2050397

36,907,146 factors as 2 × 3^2 × 2050397. Its 12 positive divisors give a proper-divisor sum of 43,058,376, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 2050397

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 79,965,522

Proper Divisor Sum 43,058,376

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36907109 ← → #36907147

Radix Representation

Decimal	36907146
Binary	10001100110010100010001010 (26 bits)
Octal	0o214624212
Hexadecimal	0x233288A

Divisor Catalog (12)

1 2 3 6 9 18 2,050,397 4,100,794 6,151,191 12,302,382 18,453,573 36,907,146

Collatz Trajectory (103 steps to reach 1)

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

36,907,146 18,453,573 55,360,720 27,680,360 13,840,180 6,920,090 3,460,045 10,380,136 5,190,068 2,595,034 1,297,517 3,892,552 1,946,276 973,138 486,569 1,459,708 729,854 364,927 1,094,782 547,391 1,642,174 821,087 2,463,262 1,231,631 3,694,894 1,847,447 5,542,342 2,771,171 8,313,514 4,156,757 12,470,272 6,235,136 3,117,568 1,558,784 779,392 389,696 194,848 97,424 48,712 24,356 12,178 6,089 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,907,145 Browse Full Index Next Integer #36,907,147 →