3,277,475

5² × 31 × 4229

Starting at 3,277,475, the Collatz iteration reaches 1 after 208 steps. The first transition is 9832426; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 31 × 4229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,196,160

Proper Divisor Sum 918,685

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3277471 ← → #3277501

Radix Representation

Decimal	3277475
Binary	1100100000001010100011 (22 bits)
Octal	0o14401243
Hexadecimal	0x3202A3

Divisor Catalog (12)

1 5 25 31 155 775 4,229 21,145 105,725 131,099 655,495 3,277,475

Collatz Trajectory (208 steps to reach 1)

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

3,277,475 9,832,426 4,916,213 14,748,640 7,374,320 3,687,160 1,843,580 921,790 460,895 1,382,686 691,343 2,074,030 1,037,015 3,111,046 1,555,523 4,666,570 2,333,285 6,999,856 3,499,928 1,749,964 874,982 437,491 1,312,474 656,237 1,968,712 984,356 492,178 246,089 738,268 369,134 184,567 553,702 276,851 830,554 415,277 1,245,832 622,916 311,458 155,729 467,188 233,594 116,797 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789

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