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Atlas › Integer Profiles › Node 6,978,075

6,978,075

3 × 52 × 13 × 17 × 421
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 17 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,186,656
Proper Divisor Sum 6,208,581
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6978061 ← → #6978091

Radix Representation

Decimal 6978075
Binary 11010100111101000011011 (23 bits)
Octal 0o32475033
Hexadecimal 0x6A7A1B

Divisor Catalog (48)

1 3 5 13 15 17 25 39 51 65 75 85 195 221 255 325 421 425 663 975 1,105 1,263 1,275 2,105 3,315 5,473 5,525 6,315 7,157 10,525 16,419 16,575 21,471 27,365 31,575 35,785 82,095 93,041 107,355 136,825 178,925 279,123 410,475 465,205 536,775 1,395,615 2,326,025 6,978,075

Collatz Trajectory (297 steps to reach 1)

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

6,978,075 20,934,226 10,467,113 31,401,340 15,700,670 7,850,335 23,551,006 11,775,503 35,326,510 17,663,255 52,989,766 26,494,883 79,484,650 39,742,325 119,226,976 59,613,488 29,806,744 14,903,372 7,451,686 3,725,843 11,177,530 5,588,765 16,766,296 8,383,148 4,191,574 2,095,787 6,287,362 3,143,681 9,431,044 4,715,522 2,357,761 7,073,284 3,536,642 1,768,321 5,304,964 2,652,482 1,326,241 3,978,724 1,989,362 994,681 2,984,044 1,492,022 746,011 2,238,034 1,119,017 3,357,052 1,678,526 839,263 2,517,790 1,258,895 3,776,686 1,888,343 5,665,030 2,832,515 8,497,546 4,248,773 12,746,320 6,373,160 3,186,580 1,593,290

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