λ
Modular Archive

978,945

3 × 5 × 11 × 17 × 349
Deficient Odd Composite

The decimal integer 978,945 is 11101111000000000001 in binary (20 bits), 3570001 in octal and EF001 in hexadecimal. Its digit sum is 42.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 17 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,814,400
Proper Divisor Sum 835,455
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #978931 ← → #978947

Radix Representation

Decimal 978945
Binary 11101111000000000001 (20 bits)
Octal 0o3570001
Hexadecimal 0xEF001

Divisor Catalog (32)

1 3 5 11 15 17 33 51 55 85 165 187 255 349 561 935 1,047 1,745 2,805 3,839 5,235 5,933 11,517 17,799 19,195 29,665 57,585 65,263 88,995 195,789 326,315 978,945

Collatz Trajectory (183 steps to reach 1)

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

978,945 2,936,836 1,468,418 734,209 2,202,628 1,101,314 550,657 1,651,972 825,986 412,993 1,238,980 619,490 309,745 929,236 464,618 232,309 696,928 348,464 174,232 87,116 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212

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