8,449,644

2² × 3 × 7 × 100591

8,449,644 factors as 2^2 × 3 × 7 × 100591. Its 24 positive divisors give a proper-divisor sum of 14,082,964, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 100591

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,532,608

Proper Divisor Sum 14,082,964

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8449627 ← → #8449667

Radix Representation

Decimal	8449644
Binary	100000001110111001101100 (24 bits)
Octal	0o40167154
Hexadecimal	0x80EE6C

Divisor Catalog (24)

Collatz Trajectory (106 steps to reach 1)

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

8,449,644 4,224,822 2,112,411 6,337,234 3,168,617 9,505,852 4,752,926 2,376,463 7,129,390 3,564,695 10,694,086 5,347,043 16,041,130 8,020,565 24,061,696 12,030,848 6,015,424 3,007,712 1,503,856 751,928 375,964 187,982 93,991 281,974 140,987 422,962 211,481 634,444 317,222 158,611 475,834 237,917 713,752 356,876 178,438 89,219 267,658 133,829 401,488 200,744 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936

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