7,832,818

2 × 7 × 17 × 32911

Starting at 7,832,818, the Collatz iteration reaches 1 after 93 steps. The first transition is 3916409; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 32911

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,217,984

Proper Divisor Sum 6,385,166

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7832779 ← → #7832843

Radix Representation

Decimal	7832818
Binary	11101111000010011110010 (23 bits)
Octal	0o35702362
Hexadecimal	0x7784F2

Divisor Catalog (16)

1 2 7 14 17 34 119 238 32,911 65,822 230,377 460,754 559,487 1,118,974 3,916,409 7,832,818

Collatz Trajectory (93 steps to reach 1)

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

7,832,818 3,916,409 11,749,228 5,874,614 2,937,307 8,811,922 4,405,961 13,217,884 6,608,942 3,304,471 9,913,414 4,956,707 14,870,122 7,435,061 22,305,184 11,152,592 5,576,296 2,788,148 1,394,074 697,037 2,091,112 1,045,556 522,778 261,389 784,168 392,084 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

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