36,972,108

2² × 3² × 1027003

36,972,108 factors as 2^2 × 3^2 × 1027003. Its 18 positive divisors give a proper-divisor sum of 56,485,256, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1027003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 93,457,364

Proper Divisor Sum 56,485,256

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36972107 ← → #36972121

Radix Representation

Decimal	36972108
Binary	10001101000010011001001100 (26 bits)
Octal	0o215023114
Hexadecimal	0x234264C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 1,027,003 2,054,006 3,081,009 4,108,012 6,162,018 9,243,027 12,324,036 18,486,054 36,972,108

Collatz Trajectory (152 steps to reach 1)

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

36,972,108 18,486,054 9,243,027 27,729,082 13,864,541 41,593,624 20,796,812 10,398,406 5,199,203 15,597,610 7,798,805 23,396,416 11,698,208 5,849,104 2,924,552 1,462,276 731,138 365,569 1,096,708 548,354 274,177 822,532 411,266 205,633 616,900 308,450 154,225 462,676 231,338 115,669 347,008 173,504 86,752 43,376 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,972,107 Browse Full Index Next Integer #36,972,109 →