λ
Ratio Atlas

4,078,509

3 × 53 × 113 × 227
Deficient Odd Composite

4,078,509 factors as 3 × 53 × 113 × 227. Its 16 positive divisors give a proper-divisor sum of 1,535,763, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 53 × 113 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,614,272
Proper Divisor Sum 1,535,763
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4078489 ← → #4078511

Radix Representation

Decimal 4078509
Binary 1111100011101110101101 (22 bits)
Octal 0o17435655
Hexadecimal 0x3E3BAD

Divisor Catalog (16)

1 3 53 113 159 227 339 681 5,989 12,031 17,967 25,651 36,093 76,953 1,359,503 4,078,509

Collatz Trajectory (105 steps to reach 1)

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

4,078,509 12,235,528 6,117,764 3,058,882 1,529,441 4,588,324 2,294,162 1,147,081 3,441,244 1,720,622 860,311 2,580,934 1,290,467 3,871,402 1,935,701 5,807,104 2,903,552 1,451,776 725,888 362,944 181,472 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

More profiles

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