3,546,075

3 × 5² × 13 × 3637

Starting at 3,546,075, the Collatz iteration reaches 1 after 84 steps. The first transition is 10638226; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 3637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,315,568

Proper Divisor Sum 2,769,493

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3546061 ← → #3546089

Radix Representation

Decimal	3546075
Binary	1101100001101111011011 (22 bits)
Octal	0o15415733
Hexadecimal	0x361BDB

Divisor Catalog (24)

Collatz Trajectory (84 steps to reach 1)

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

3,546,075 10,638,226 5,319,113 15,957,340 7,978,670 3,989,335 11,968,006 5,984,003 17,952,010 8,976,005 26,928,016 13,464,008 6,732,004 3,366,002 1,683,001 5,049,004 2,524,502 1,262,251 3,786,754 1,893,377 5,680,132 2,840,066 1,420,033 4,260,100 2,130,050 1,065,025 3,195,076 1,597,538 798,769 2,396,308 1,198,154 599,077 1,797,232 898,616 449,308 224,654 112,327 336,982 168,491 505,474 252,737 758,212 379,106 189,553 568,660 284,330 142,165 426,496 213,248 106,624 53,312 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625

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