3,698,752

2⁶ × 57793

3,698,752 factors as 2^6 × 57793. Its 14 positive divisors give a proper-divisor sum of 3,641,086, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^6 × 57793

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 7,339,838

Proper Divisor Sum 3,641,086

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3698719 ← → #3698753

Radix Representation

Decimal	3698752
Binary	1110000111000001000000 (22 bits)
Octal	0o16070100
Hexadecimal	0x387040

Divisor Catalog (14)

1 2 4 8 16 32 64 57,793 115,586 231,172 462,344 924,688 1,849,376 3,698,752

Collatz Trajectory (203 steps to reach 1)

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

3,698,752 1,849,376 924,688 462,344 231,172 115,586 57,793 173,380 86,690 43,345 130,036 65,018 32,509 97,528 48,764 24,382 12,191 36,574 18,287 54,862 27,431 82,294 41,147 123,442 61,721 185,164 92,582 46,291 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059 117,178 58,589 175,768 87,884 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465

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