8,207,066

2 × 7 × 43 × 13633

Starting at 8,207,066, the Collatz iteration reaches 1 after 217 steps. The first transition is 4103533; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 13633

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,397,504

Proper Divisor Sum 6,190,438

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8207057 ← → #8207071

Radix Representation

Decimal	8207066
Binary	11111010011101011011010 (23 bits)
Octal	0o37235332
Hexadecimal	0x7D3ADA

Divisor Catalog (16)

1 2 7 14 43 86 301 602 13,633 27,266 95,431 190,862 586,219 1,172,438 4,103,533 8,207,066

Collatz Trajectory (217 steps to reach 1)

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

8,207,066 4,103,533 12,310,600 6,155,300 3,077,650 1,538,825 4,616,476 2,308,238 1,154,119 3,462,358 1,731,179 5,193,538 2,596,769 7,790,308 3,895,154 1,947,577 5,842,732 2,921,366 1,460,683 4,382,050 2,191,025 6,573,076 3,286,538 1,643,269 4,929,808 2,464,904 1,232,452 616,226 308,113 924,340 462,170 231,085 693,256 346,628 173,314 86,657 259,972 129,986 64,993 194,980 97,490 48,745 146,236 73,118 36,559 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334

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