1,621,125

3² × 5³ × 11 × 131

Starting at 1,621,125, the Collatz iteration reaches 1 after 62 steps. The first transition is 4863376; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 11 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,212,352

Proper Divisor Sum 1,591,227

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1621097 ← → #1621127

Radix Representation

Decimal	1621125
Binary	110001011110010000101 (21 bits)
Octal	0o6136205
Hexadecimal	0x18BC85

Divisor Catalog (48)

1 3 5 9 11 15 25 33 45 55 75 99 125 131 165 225 275 375 393 495 655 825 1,125 1,179 1,375 1,441 1,965 2,475 3,275 4,125 4,323 5,895 7,205 9,825 12,375 12,969 16,375 21,615 29,475 36,025 49,125 64,845 108,075 147,375 180,125 324,225 540,375 1,621,125

Collatz Trajectory (62 steps to reach 1)

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

1,621,125 4,863,376 2,431,688 1,215,844 607,922 303,961 911,884 455,942 227,971 683,914 341,957 1,025,872 512,936 256,468 128,234 64,117 192,352 96,176 48,088 24,044 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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