7,926,278

2 × 101 × 39239

Starting at 7,926,278, the Collatz iteration reaches 1 after 168 steps. The first transition is 3963139; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 101 × 39239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,007,440

Proper Divisor Sum 4,081,162

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7926277 ← → #7926293

Radix Representation

Decimal	7926278
Binary	11110001111001000000110 (23 bits)
Octal	0o36171006
Hexadecimal	0x78F206

Divisor Catalog (8)

1 2 101 202 39,239 78,478 3,963,139 7,926,278

Collatz Trajectory (168 steps to reach 1)

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

7,926,278 3,963,139 11,889,418 5,944,709 17,834,128 8,917,064 4,458,532 2,229,266 1,114,633 3,343,900 1,671,950 835,975 2,507,926 1,253,963 3,761,890 1,880,945 5,642,836 2,821,418 1,410,709 4,232,128 2,116,064 1,058,032 529,016 264,508 132,254 66,127 198,382 99,191 297,574 148,787 446,362 223,181 669,544 334,772 167,386 83,693 251,080 125,540 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380

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