3,247,153

7 × 13 × 17 × 2099

Starting at 3,247,153, the Collatz iteration reaches 1 after 208 steps. The first transition is 9741460; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 17 × 2099

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,233,600

Proper Divisor Sum 986,447

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3247147 ← → #3247171

Radix Representation

Decimal	3247153
Binary	1100011000110000110001 (22 bits)
Octal	0o14306061
Hexadecimal	0x318C31

Divisor Catalog (16)

1 7 13 17 91 119 221 1,547 2,099 14,693 27,287 35,683 191,009 249,781 463,879 3,247,153

Collatz Trajectory (208 steps to reach 1)

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

3,247,153 9,741,460 4,870,730 2,435,365 7,306,096 3,653,048 1,826,524 913,262 456,631 1,369,894 684,947 2,054,842 1,027,421 3,082,264 1,541,132 770,566 385,283 1,155,850 577,925 1,733,776 866,888 433,444 216,722 108,361 325,084 162,542 81,271 243,814 121,907 365,722 182,861 548,584 274,292 137,146 68,573 205,720 102,860 51,430 25,715 77,146 38,573 115,720 57,860 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600

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