1,643,525

5² × 13² × 389

Starting at 1,643,525, the Collatz iteration reaches 1 after 163 steps. The first transition is 4930576; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13^2 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,212,470

Proper Divisor Sum 568,945

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1643513 ← → #1643539

Radix Representation

Decimal	1643525
Binary	110010001010000000101 (21 bits)
Octal	0o6212005
Hexadecimal	0x191405

Divisor Catalog (18)

1 5 13 25 65 169 325 389 845 1,945 4,225 5,057 9,725 25,285 65,741 126,425 328,705 1,643,525

Collatz Trajectory (163 steps to reach 1)

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

1,643,525 4,930,576 2,465,288 1,232,644 616,322 308,161 924,484 462,242 231,121 693,364 346,682 173,341 520,024 260,012 130,006 65,003 195,010 97,505 292,516 146,258 73,129 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426

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