7,217,475

3 × 5² × 96233

Starting at 7,217,475, the Collatz iteration reaches 1 after 235 steps. The first transition is 21652426; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 96233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,933,016

Proper Divisor Sum 4,715,541

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7217429 ← → #7217527

Radix Representation

Decimal	7217475
Binary	11011100010000101000011 (23 bits)
Octal	0o33420503
Hexadecimal	0x6E2143

Divisor Catalog (12)

1 3 5 15 25 75 96,233 288,699 481,165 1,443,495 2,405,825 7,217,475

Collatz Trajectory (235 steps to reach 1)

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

7,217,475 21,652,426 10,826,213 32,478,640 16,239,320 8,119,660 4,059,830 2,029,915 6,089,746 3,044,873 9,134,620 4,567,310 2,283,655 6,850,966 3,425,483 10,276,450 5,138,225 15,414,676 7,707,338 3,853,669 11,561,008 5,780,504 2,890,252 1,445,126 722,563 2,167,690 1,083,845 3,251,536 1,625,768 812,884 406,442 203,221 609,664 304,832 152,416 76,208 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791

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