6,529,485

3 × 5 × 67 × 73 × 89

Starting at 6,529,485, the Collatz iteration reaches 1 after 209 steps. The first transition is 19588456; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 73 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,869,120

Proper Divisor Sum 4,339,635

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6529469 ← → #6529487

Radix Representation

Decimal	6529485
Binary	11000111010000111001101 (23 bits)
Octal	0o30720715
Hexadecimal	0x63A1CD

Divisor Catalog (32)

1 3 5 15 67 73 89 201 219 267 335 365 445 1,005 1,095 1,335 4,891 5,963 6,497 14,673 17,889 19,491 24,455 29,815 32,485 73,365 89,445 97,455 435,299 1,305,897 2,176,495 6,529,485

Collatz Trajectory (209 steps to reach 1)

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

6,529,485 19,588,456 9,794,228 4,897,114 2,448,557 7,345,672 3,672,836 1,836,418 918,209 2,754,628 1,377,314 688,657 2,065,972 1,032,986 516,493 1,549,480 774,740 387,370 193,685 581,056 290,528 145,264 72,632 36,316 18,158 9,079 27,238 13,619 40,858 20,429 61,288 30,644 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911

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