λ
Math Directory

4,398,349

67 × 65647
Deficient Odd Composite

4,398,349 factors as 67 × 65647. Its 4 positive divisors give a proper-divisor sum of 65,715, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 67 × 65647
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,464,064
Proper Divisor Sum 65,715
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4398347 ← → #4398353

Radix Representation

Decimal 4398349
Binary 10000110001110100001101 (23 bits)
Octal 0o20616415
Hexadecimal 0x431D0D

Divisor Catalog (4)

1 67 65,647 4,398,349

Collatz Trajectory (180 steps to reach 1)

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

4,398,349 13,195,048 6,597,524 3,298,762 1,649,381 4,948,144 2,474,072 1,237,036 618,518 309,259 927,778 463,889 1,391,668 695,834 347,917 1,043,752 521,876 260,938 130,469 391,408 195,704 97,852 48,926 24,463 73,390 36,695 110,086 55,043 165,130 82,565 247,696 123,848 61,924 30,962 15,481 46,444 23,222 11,611 34,834 17,417 52,252 26,126 13,063 39,190 19,595 58,786 29,393 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904

More profiles

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