8,155,575

3² × 5² × 67 × 541

Starting at 8,155,575, the Collatz iteration reaches 1 after 199 steps. The first transition is 24466726; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 67 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 14,852,968

Proper Divisor Sum 6,697,393

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8155561 ← → #8155591

Radix Representation

Decimal	8155575
Binary	11111000111000110110111 (23 bits)
Octal	0o37070667
Hexadecimal	0x7C71B7

Divisor Catalog (36)

1 3 5 9 15 25 45 67 75 201 225 335 541 603 1,005 1,623 1,675 2,705 3,015 4,869 5,025 8,115 13,525 15,075 24,345 36,247 40,575 108,741 121,725 181,235 326,223 543,705 906,175 1,631,115 2,718,525 8,155,575

Collatz Trajectory (199 steps to reach 1)

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

8,155,575 24,466,726 12,233,363 36,700,090 18,350,045 55,050,136 27,525,068 13,762,534 6,881,267 20,643,802 10,321,901 30,965,704 15,482,852 7,741,426 3,870,713 11,612,140 5,806,070 2,903,035 8,709,106 4,354,553 13,063,660 6,531,830 3,265,915 9,797,746 4,898,873 14,696,620 7,348,310 3,674,155 11,022,466 5,511,233 16,533,700 8,266,850 4,133,425 12,400,276 6,200,138 3,100,069 9,300,208 4,650,104 2,325,052 1,162,526 581,263 1,743,790 871,895 2,615,686 1,307,843 3,923,530 1,961,765 5,885,296 2,942,648 1,471,324 735,662 367,831 1,103,494 551,747 1,655,242 827,621 2,482,864 1,241,432 620,716 310,358

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