λ
Math Directory

3,768,365

5 × 19 × 39667
Deficient Odd Composite

3,768,365 factors as 5 × 19 × 39667. Its 8 positive divisors give a proper-divisor sum of 991,795, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 5 × 19 × 39667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,760,160
Proper Divisor Sum 991,795
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3768341 ← → #3768367

Radix Representation

Decimal 3768365
Binary 1110011000000000101101 (22 bits)
Octal 0o16300055
Hexadecimal 0x39802D

Divisor Catalog (8)

1 5 19 95 39,667 198,335 753,673 3,768,365

Collatz Trajectory (154 steps to reach 1)

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

3,768,365 11,305,096 5,652,548 2,826,274 1,413,137 4,239,412 2,119,706 1,059,853 3,179,560 1,589,780 794,890 397,445 1,192,336 596,168 298,084 149,042 74,521 223,564 111,782 55,891 167,674 83,837 251,512 125,756 62,878 31,439 94,318 47,159 141,478 70,739 212,218 106,109 318,328 159,164 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903

More profiles

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