7,837,976

2³ × 979747

Starting at 7,837,976, the Collatz iteration reaches 1 after 186 steps. The first transition is 3918988; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 979747

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 14,696,220

Proper Divisor Sum 6,858,244

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7837967 ← → #7837981

Radix Representation

Decimal	7837976
Binary	11101111001100100011000 (23 bits)
Octal	0o35714430
Hexadecimal	0x779918

Divisor Catalog (8)

1 2 4 8 979,747 1,959,494 3,918,988 7,837,976

Collatz Trajectory (186 steps to reach 1)

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

7,837,976 3,918,988 1,959,494 979,747 2,939,242 1,469,621 4,408,864 2,204,432 1,102,216 551,108 275,554 137,777 413,332 206,666 103,333 310,000 155,000 77,500 38,750 19,375 58,126 29,063 87,190 43,595 130,786 65,393 196,180 98,090 49,045 147,136 73,568 36,784 18,392 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224 22,112 11,056 5,528 2,764 1,382

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