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7,680,554

2 × 72 × 181 × 433
Deficient Even Composite

7,680,554 factors as 2 × 7^2 × 181 × 433. Its 24 positive divisors give a proper-divisor sum of 5,826,394, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 181 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,506,948
Proper Divisor Sum 5,826,394
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7680553 ← → #7680559

Radix Representation

Decimal 7680554
Binary 11101010011001000101010 (23 bits)
Octal 0o35231052
Hexadecimal 0x75322A

Divisor Catalog (24)

1 2 7 14 49 98 181 362 433 866 1,267 2,534 3,031 6,062 8,869 17,738 21,217 42,434 78,373 156,746 548,611 1,097,222 3,840,277 7,680,554

Collatz Trajectory (98 steps to reach 1)

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

7,680,554 3,840,277 11,520,832 5,760,416 2,880,208 1,440,104 720,052 360,026 180,013 540,040 270,020 135,010 67,505 202,516 101,258 50,629 151,888 75,944 37,972 18,986 9,493 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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