6,978,784

2⁵ × 218087

6,978,784 factors as 2^5 × 218087. Its 12 positive divisors give a proper-divisor sum of 6,760,760, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 218087

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,739,544

Proper Divisor Sum 6,760,760

Digit Sum / Digital Root 49 (Root: 4)

Adjacent Primes #6978779 ← → #6978793

Radix Representation

Decimal	6978784
Binary	11010100111110011100000 (23 bits)
Octal	0o32476340
Hexadecimal	0x6A7CE0

Divisor Catalog (12)

1 2 4 8 16 32 218,087 436,174 872,348 1,744,696 3,489,392 6,978,784

Collatz Trajectory (85 steps to reach 1)

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

6,978,784 3,489,392 1,744,696 872,348 436,174 218,087 654,262 327,131 981,394 490,697 1,472,092 736,046 368,023 1,104,070 552,035 1,656,106 828,053 2,484,160 1,242,080 621,040 310,520 155,260 77,630 38,815 116,446 58,223 174,670 87,335 262,006 131,003 393,010 196,505 589,516 294,758 147,379 442,138 221,069 663,208 331,604 165,802 82,901 248,704 124,352 62,176 31,088 15,544 7,772 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205

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