3,078,418

2 × 7 × 19 × 71 × 163

Starting at 3,078,418, the Collatz iteration reaches 1 after 195 steps. The first transition is 1539209; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 71 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,667,840

Proper Divisor Sum 2,589,422

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3078409 ← → #3078419

Radix Representation

Decimal	3078418
Binary	1011101111100100010010 (22 bits)
Octal	0o13574422
Hexadecimal	0x2EF912

Divisor Catalog (32)

1 2 7 14 19 38 71 133 142 163 266 326 497 994 1,141 1,349 2,282 2,698 3,097 6,194 9,443 11,573 18,886 21,679 23,146 43,358 81,011 162,022 219,887 439,774 1,539,209 3,078,418

Collatz Trajectory (195 steps to reach 1)

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

3,078,418 1,539,209 4,617,628 2,308,814 1,154,407 3,463,222 1,731,611 5,194,834 2,597,417 7,792,252 3,896,126 1,948,063 5,844,190 2,922,095 8,766,286 4,383,143 13,149,430 6,574,715 19,724,146 9,862,073 29,586,220 14,793,110 7,396,555 22,189,666 11,094,833 33,284,500 16,642,250 8,321,125 24,963,376 12,481,688 6,240,844 3,120,422 1,560,211 4,680,634 2,340,317 7,020,952 3,510,476 1,755,238 877,619 2,632,858 1,316,429 3,949,288 1,974,644 987,322 493,661 1,480,984 740,492 370,246 185,123 555,370 277,685 833,056 416,528 208,264 104,132 52,066 26,033 78,100 39,050 19,525

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