3,682,736

2⁴ × 337 × 683

3,682,736 factors as 2^4 × 337 × 683. Its 20 positive divisors give a proper-divisor sum of 3,484,216, so this integer is deficient. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 2^4 × 337 × 683

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,166,952

Proper Divisor Sum 3,484,216

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3682733 ← → #3682759

Radix Representation

Decimal	3682736
Binary	1110000011000110110000 (22 bits)
Octal	0o16030660
Hexadecimal	0x3831B0

Divisor Catalog (20)

Collatz Trajectory (278 steps to reach 1)

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

3,682,736 1,841,368 920,684 460,342 230,171 690,514 345,257 1,035,772 517,886 258,943 776,830 388,415 1,165,246 582,623 1,747,870 873,935 2,621,806 1,310,903 3,932,710 1,966,355 5,899,066 2,949,533 8,848,600 4,424,300 2,212,150 1,106,075 3,318,226 1,659,113 4,977,340 2,488,670 1,244,335 3,733,006 1,866,503 5,599,510 2,799,755 8,399,266 4,199,633 12,598,900 6,299,450 3,149,725 9,449,176 4,724,588 2,362,294 1,181,147 3,543,442 1,771,721 5,315,164 2,657,582 1,328,791 3,986,374 1,993,187 5,979,562 2,989,781 8,969,344 4,484,672 2,242,336 1,121,168 560,584 280,292 140,146

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