7,918,176

2⁵ × 3 × 7 × 11783

Starting at 7,918,176, the Collatz iteration reaches 1 after 155 steps. The first transition is 3959088; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 11783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,756,544

Proper Divisor Sum 15,838,368

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7918159 ← → #7918177

Radix Representation

Decimal	7918176
Binary	11110001101001001100000 (23 bits)
Octal	0o36151140
Hexadecimal	0x78D260

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 11,783 23,566 35,349 47,132 70,698 82,481 94,264 141,396 164,962 188,528 247,443 282,792 329,924 377,056 494,886 565,584 659,848 989,772 1,131,168 1,319,696 1,979,544 2,639,392 3,959,088 7,918,176

Collatz Trajectory (155 steps to reach 1)

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

7,918,176 3,959,088 1,979,544 989,772 494,886 247,443 742,330 371,165 1,113,496 556,748 278,374 139,187 417,562 208,781 626,344 313,172 156,586 78,293 234,880 117,440 58,720 29,360 14,680 7,340 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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