3,609,977

7² × 73673

3,609,977 factors as 7^2 × 73673. Its 6 positive divisors give a proper-divisor sum of 589,441, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 7^2 × 73673

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,199,418

Proper Divisor Sum 589,441

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3609973 ← → #3609997

Radix Representation

Decimal	3609977
Binary	1101110001010101111001 (22 bits)
Octal	0o15612571
Hexadecimal	0x371579

Divisor Catalog (6)

1 7 49 73,673 515,711 3,609,977

Collatz Trajectory (141 steps to reach 1)

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

3,609,977 10,829,932 5,414,966 2,707,483 8,122,450 4,061,225 12,183,676 6,091,838 3,045,919 9,137,758 4,568,879 13,706,638 6,853,319 20,559,958 10,279,979 30,839,938 15,419,969 46,259,908 23,129,954 11,564,977 34,694,932 17,347,466 8,673,733 26,021,200 13,010,600 6,505,300 3,252,650 1,626,325 4,878,976 2,439,488 1,219,744 609,872 304,936 152,468 76,234 38,117 114,352 57,176 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817

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