5,975,325

3² × 5² × 26557

Starting at 5,975,325, the Collatz iteration reaches 1 after 289 steps. The first transition is 17925976; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 26557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 10,702,874

Proper Divisor Sum 4,727,549

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5975317 ← → #5975341

Radix Representation

Decimal	5975325
Binary	10110110010110100011101 (23 bits)
Octal	0o26626435
Hexadecimal	0x5B2D1D

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 26,557 79,671 132,785 239,013 398,355 663,925 1,195,065 1,991,775 5,975,325

Collatz Trajectory (289 steps to reach 1)

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

5,975,325 17,925,976 8,962,988 4,481,494 2,240,747 6,722,242 3,361,121 10,083,364 5,041,682 2,520,841 7,562,524 3,781,262 1,890,631 5,671,894 2,835,947 8,507,842 4,253,921 12,761,764 6,380,882 3,190,441 9,571,324 4,785,662 2,392,831 7,178,494 3,589,247 10,767,742 5,383,871 16,151,614 8,075,807 24,227,422 12,113,711 36,341,134 18,170,567 54,511,702 27,255,851 81,767,554 40,883,777 122,651,332 61,325,666 30,662,833 91,988,500 45,994,250 22,997,125 68,991,376 34,495,688 17,247,844 8,623,922 4,311,961 12,935,884 6,467,942 3,233,971 9,701,914 4,850,957 14,552,872 7,276,436 3,638,218 1,819,109 5,457,328 2,728,664 1,364,332

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