3,673,825

5² × 146953

3,673,825 factors as 5^2 × 146953. Its 6 positive divisors give a proper-divisor sum of 881,749, so this integer is deficient. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 5^2 × 146953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,555,574

Proper Divisor Sum 881,749

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3673793 ← → #3673837

Radix Representation

Decimal	3673825
Binary	1110000000111011100001 (22 bits)
Octal	0o16007341
Hexadecimal	0x380EE1

Divisor Catalog (6)

1 5 25 146,953 734,765 3,673,825

Collatz Trajectory (203 steps to reach 1)

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

3,673,825 11,021,476 5,510,738 2,755,369 8,266,108 4,133,054 2,066,527 6,199,582 3,099,791 9,299,374 4,649,687 13,949,062 6,974,531 20,923,594 10,461,797 31,385,392 15,692,696 7,846,348 3,923,174 1,961,587 5,884,762 2,942,381 8,827,144 4,413,572 2,206,786 1,103,393 3,310,180 1,655,090 827,545 2,482,636 1,241,318 620,659 1,861,978 930,989 2,792,968 1,396,484 698,242 349,121 1,047,364 523,682 261,841 785,524 392,762 196,381 589,144 294,572 147,286 73,643 220,930 110,465 331,396 165,698 82,849 248,548 124,274 62,137 186,412 93,206 46,603 139,810

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