7,844,414

2 × 3922207

Starting at 7,844,414, the Collatz iteration reaches 1 after 155 steps. The first transition is 3922207; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3922207

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,766,624

Proper Divisor Sum 3,922,210

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7844401 ← → #7844423

Radix Representation

Decimal	7844414
Binary	11101111011001000111110 (23 bits)
Octal	0o35731076
Hexadecimal	0x77B23E

Divisor Catalog (4)

1 2 3,922,207 7,844,414

Collatz Trajectory (155 steps to reach 1)

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

7,844,414 3,922,207 11,766,622 5,883,311 17,649,934 8,824,967 26,474,902 13,237,451 39,712,354 19,856,177 59,568,532 29,784,266 14,892,133 44,676,400 22,338,200 11,169,100 5,584,550 2,792,275 8,376,826 4,188,413 12,565,240 6,282,620 3,141,310 1,570,655 4,711,966 2,355,983 7,067,950 3,533,975 10,601,926 5,300,963 15,902,890 7,951,445 23,854,336 11,927,168 5,963,584 2,981,792 1,490,896 745,448 372,724 186,362 93,181 279,544 139,772 69,886 34,943 104,830 52,415 157,246 78,623 235,870 117,935 353,806 176,903 530,710 265,355 796,066 398,033 1,194,100 597,050 298,525

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