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978,368

26 × 15287
Deficient Even Composite

978,368 factors as 2^6 × 15287. Its 14 positive divisors give a proper-divisor sum of 963,208, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^6 × 15287
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 1,941,576
Proper Divisor Sum 963,208
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #978359 ← → #978389

Radix Representation

Decimal 978368
Binary 11101110110111000000 (20 bits)
Octal 0o3566700
Hexadecimal 0xEEDC0

Divisor Catalog (14)

1 2 4 8 16 32 64 15,287 30,574 61,148 122,296 244,592 489,184 978,368

Collatz Trajectory (77 steps to reach 1)

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

978,368 489,184 244,592 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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