4,152,249

3³ × 29 × 5303

4,152,249 factors as 3^3 × 29 × 5303. Its 16 positive divisors give a proper-divisor sum of 2,212,551, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 5303

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,364,800

Proper Divisor Sum 2,212,551

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4152229 ← → #4152257

Radix Representation

Decimal	4152249
Binary	1111110101101110111001 (22 bits)
Octal	0o17655671
Hexadecimal	0x3F5BB9

Divisor Catalog (16)

1 3 9 27 29 87 261 783 5,303 15,909 47,727 143,181 153,787 461,361 1,384,083 4,152,249

Collatz Trajectory (79 steps to reach 1)

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

4,152,249 12,456,748 6,228,374 3,114,187 9,342,562 4,671,281 14,013,844 7,006,922 3,503,461 10,510,384 5,255,192 2,627,596 1,313,798 656,899 1,970,698 985,349 2,956,048 1,478,024 739,012 369,506 184,753 554,260 277,130 138,565 415,696 207,848 103,924 51,962 25,981 77,944 38,972 19,486 9,743 29,230 14,615 43,846 21,923 65,770 32,885 98,656 49,328 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122

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