3,107,175

3 × 5² × 17 × 2437

Starting at 3,107,175, the Collatz iteration reaches 1 after 208 steps. The first transition is 9321526; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 2437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,441,616

Proper Divisor Sum 2,334,441

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3107171 ← → #3107177

Radix Representation

Decimal	3107175
Binary	1011110110100101100111 (22 bits)
Octal	0o13664547
Hexadecimal	0x2F6967

Divisor Catalog (24)

1 3 5 15 17 25 51 75 85 255 425 1,275 2,437 7,311 12,185 36,555 41,429 60,925 124,287 182,775 207,145 621,435 1,035,725 3,107,175

Collatz Trajectory (208 steps to reach 1)

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

3,107,175 9,321,526 4,660,763 13,982,290 6,991,145 20,973,436 10,486,718 5,243,359 15,730,078 7,865,039 23,595,118 11,797,559 35,392,678 17,696,339 53,089,018 26,544,509 79,633,528 39,816,764 19,908,382 9,954,191 29,862,574 14,931,287 44,793,862 22,396,931 67,190,794 33,595,397 100,786,192 50,393,096 25,196,548 12,598,274 6,299,137 18,897,412 9,448,706 4,724,353 14,173,060 7,086,530 3,543,265 10,629,796 5,314,898 2,657,449 7,972,348 3,986,174 1,993,087 5,979,262 2,989,631 8,968,894 4,484,447 13,453,342 6,726,671 20,180,014 10,090,007 30,270,022 15,135,011 45,405,034 22,702,517 68,107,552 34,053,776 17,026,888 8,513,444 4,256,722

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