979,784

2³ × 13 × 9421

Starting at 979,784, the Collatz iteration reaches 1 after 183 steps. The first transition is 489892; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 9421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,978,620

Proper Divisor Sum 998,836

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #979757 ← → #979787

Radix Representation

Decimal	979784
Binary	11101111001101001000 (20 bits)
Octal	0o3571510
Hexadecimal	0xEF348

Divisor Catalog (16)

1 2 4 8 13 26 52 104 9,421 18,842 37,684 75,368 122,473 244,946 489,892 979,784

Collatz Trajectory (183 steps to reach 1)

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

979,784 489,892 244,946 122,473 367,420 183,710 91,855 275,566 137,783 413,350 206,675 620,026 310,013 930,040 465,020 232,510 116,255 348,766 174,383 523,150 261,575 784,726 392,363 1,177,090 588,545 1,765,636 882,818 441,409 1,324,228 662,114 331,057 993,172 496,586 248,293 744,880 372,440 186,220 93,110 46,555 139,666 69,833 209,500 104,750 52,375 157,126 78,563 235,690 117,845 353,536 176,768 88,384 44,192 22,096 11,048 5,524 2,762 1,381 4,144 2,072 1,036

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