4,337,697

3 × 7 × 13 × 15889

4,337,697 factors as 3 × 7 × 13 × 15889. Its 16 positive divisors give a proper-divisor sum of 2,781,023, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 15889

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,118,720

Proper Divisor Sum 2,781,023

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4337693 ← → #4337701

Radix Representation

Decimal	4337697
Binary	10000100011000000100001 (23 bits)
Octal	0o20430041
Hexadecimal	0x423021

Divisor Catalog (16)

1 3 7 13 21 39 91 273 15,889 47,667 111,223 206,557 333,669 619,671 1,445,899 4,337,697

Collatz Trajectory (118 steps to reach 1)

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

4,337,697 13,013,092 6,506,546 3,253,273 9,759,820 4,879,910 2,439,955 7,319,866 3,659,933 10,979,800 5,489,900 2,744,950 1,372,475 4,117,426 2,058,713 6,176,140 3,088,070 1,544,035 4,632,106 2,316,053 6,948,160 3,474,080 1,737,040 868,520 434,260 217,130 108,565 325,696 162,848 81,424 40,712 20,356 10,178 5,089 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589

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