3,652,844

2² × 13 × 199 × 353

3,652,844 factors as 2^2 × 13 × 199 × 353. Its 24 positive divisors give a proper-divisor sum of 3,285,556, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 199 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,938,400

Proper Divisor Sum 3,285,556

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3652843 ← → #3652871

Radix Representation

Decimal	3652844
Binary	1101111011110011101100 (22 bits)
Octal	0o15736354
Hexadecimal	0x37BCEC

Divisor Catalog (24)

Collatz Trajectory (203 steps to reach 1)

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

3,652,844 1,826,422 913,211 2,739,634 1,369,817 4,109,452 2,054,726 1,027,363 3,082,090 1,541,045 4,623,136 2,311,568 1,155,784 577,892 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863

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