36,960,237

3² × 211 × 19463

36,960,237 factors as 3^2 × 211 × 19463. Its 12 positive divisors give a proper-divisor sum of 16,682,547, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3^2 × 211 × 19463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 53,642,784

Proper Divisor Sum 16,682,547

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #36960233 ← → #36960247

Radix Representation

Decimal	36960237
Binary	10001100111111011111101101 (26 bits)
Octal	0o214773755
Hexadecimal	0x233F7ED

Divisor Catalog (12)

1 3 9 211 633 1,899 19,463 58,389 175,167 4,106,693 12,320,079 36,960,237

Collatz Trajectory (165 steps to reach 1)

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

36,960,237 110,880,712 55,440,356 27,720,178 13,860,089 41,580,268 20,790,134 10,395,067 31,185,202 15,592,601 46,777,804 23,388,902 11,694,451 35,083,354 17,541,677 52,625,032 26,312,516 13,156,258 6,578,129 19,734,388 9,867,194 4,933,597 14,800,792 7,400,396 3,700,198 1,850,099 5,550,298 2,775,149 8,325,448 4,162,724 2,081,362 1,040,681 3,122,044 1,561,022 780,511 2,341,534 1,170,767 3,512,302 1,756,151 5,268,454 2,634,227 7,902,682 3,951,341 11,854,024 5,927,012 2,963,506 1,481,753 4,445,260 2,222,630 1,111,315 3,333,946 1,666,973 5,000,920 2,500,460 1,250,230 625,115 1,875,346 937,673 2,813,020 1,406,510

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,960,236 Browse Full Index Next Integer #36,960,238 →