λ
Math Directory

1,541,433

3 × 113 × 4547
Deficient Odd Composite

1,541,433 factors as 3 × 113 × 4547. Its 8 positive divisors give a proper-divisor sum of 532,455, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 3 × 113 × 4547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,073,888
Proper Divisor Sum 532,455
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1541431 ← → #1541453

Radix Representation

Decimal 1541433
Binary 101111000010100111001 (21 bits)
Octal 0o5702471
Hexadecimal 0x178539

Divisor Catalog (8)

1 3 113 339 4,547 13,641 513,811 1,541,433

Collatz Trajectory (106 steps to reach 1)

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

1,541,433 4,624,300 2,312,150 1,156,075 3,468,226 1,734,113 5,202,340 2,601,170 1,300,585 3,901,756 1,950,878 975,439 2,926,318 1,463,159 4,389,478 2,194,739 6,584,218 3,292,109 9,876,328 4,938,164 2,469,082 1,234,541 3,703,624 1,851,812 925,906 462,953 1,388,860 694,430 347,215 1,041,646 520,823 1,562,470 781,235 2,343,706 1,171,853 3,515,560 1,757,780 878,890 439,445 1,318,336 659,168 329,584 164,792 82,396 41,198 20,599 61,798 30,899 92,698 46,349 139,048 69,524 34,762 17,381 52,144 26,072 13,036 6,518 3,259 9,778

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