7,841,004

2² × 3 × 41 × 15937

7,841,004 factors as 2^2 × 3 × 41 × 15937. Its 24 positive divisors give a proper-divisor sum of 10,902,084, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 15937

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,743,088

Proper Divisor Sum 10,902,084

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7840997 ← → #7841021

Radix Representation

Decimal	7841004
Binary	11101111010010011101100 (23 bits)
Octal	0o35722354
Hexadecimal	0x77A4EC

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

7,841,004 3,920,502 1,960,251 5,880,754 2,940,377 8,821,132 4,410,566 2,205,283 6,615,850 3,307,925 9,923,776 4,961,888 2,480,944 1,240,472 620,236 310,118 155,059 465,178 232,589 697,768 348,884 174,442 87,221 261,664 130,832 65,416 32,708 16,354 8,177 24,532 12,266 6,133 18,400 9,200 4,600 2,300 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

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