3,988,948

2² × 17 × 58661

3,988,948 factors as 2^2 × 17 × 58661. Its 12 positive divisors give a proper-divisor sum of 3,402,464, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 58661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,391,412

Proper Divisor Sum 3,402,464

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #3988909 ← → #3988961

Radix Representation

Decimal	3988948
Binary	1111001101110111010100 (22 bits)
Octal	0o17156724
Hexadecimal	0x3CDDD4

Divisor Catalog (12)

1 2 4 17 34 68 58,661 117,322 234,644 997,237 1,994,474 3,988,948

Collatz Trajectory (79 steps to reach 1)

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

3,988,948 1,994,474 997,237 2,991,712 1,495,856 747,928 373,964 186,982 93,491 280,474 140,237 420,712 210,356 105,178 52,589 157,768 78,884 39,442 19,721 59,164 29,582 14,791 44,374 22,187 66,562 33,281 99,844 49,922 24,961 74,884 37,442 18,721 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392 23,696 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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