1,649,632

2⁵ × 51551

1,649,632 factors as 2^5 × 51551. Its 12 positive divisors give a proper-divisor sum of 1,598,144, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^5 × 51551

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,247,776

Proper Divisor Sum 1,598,144

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1649621 ← → #1649639

Radix Representation

Decimal	1649632
Binary	110010010101111100000 (21 bits)
Octal	0o6225740
Hexadecimal	0x192BE0

Divisor Catalog (12)

1 2 4 8 16 32 51,551 103,102 206,204 412,408 824,816 1,649,632

Collatz Trajectory (145 steps to reach 1)

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

1,649,632 824,816 412,408 206,204 103,102 51,551 154,654 77,327 231,982 115,991 347,974 173,987 521,962 260,981 782,944 391,472 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202 19,601 58,804 29,402 14,701 44,104 22,052 11,026 5,513 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469

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