6,561,012

2² × 3 × 47 × 11633

Starting at 6,561,012, the Collatz iteration reaches 1 after 85 steps. The first transition is 3280506; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 11633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,636,096

Proper Divisor Sum 9,075,084

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6561011 ← → #6561013

Radix Representation

Decimal	6561012
Binary	11001000001110011110100 (23 bits)
Octal	0o31016364
Hexadecimal	0x641CF4

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 11,633 23,266 34,899 46,532 69,798 139,596 546,751 1,093,502 1,640,253 2,187,004 3,280,506 6,561,012

Collatz Trajectory (85 steps to reach 1)

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

6,561,012 3,280,506 1,640,253 4,920,760 2,460,380 1,230,190 615,095 1,845,286 922,643 2,767,930 1,383,965 4,151,896 2,075,948 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196

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