7,743,004

2² × 1935751

7,743,004 has digital root 7. The neighboring primes are 7742993 and 7743031; its proper-divisor sum differs from the starting integer by -1,935,744.

Prime Factor Structure

Factorization String 2^2 × 1935751

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,550,264

Proper Divisor Sum 5,807,260

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7742993 ← → #7743031

Radix Representation

Decimal	7743004
Binary	11101100010011000011100 (23 bits)
Octal	0o35423034
Hexadecimal	0x76261C

Divisor Catalog (6)

1 2 4 1,935,751 3,871,502 7,743,004

Collatz Trajectory (98 steps to reach 1)

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

7,743,004 3,871,502 1,935,751 5,807,254 2,903,627 8,710,882 4,355,441 13,066,324 6,533,162 3,266,581 9,799,744 4,899,872 2,449,936 1,224,968 612,484 306,242 153,121 459,364 229,682 114,841 344,524 172,262 86,131 258,394 129,197 387,592 193,796 96,898 48,449 145,348 72,674 36,337 109,012 54,506 27,253 81,760 40,880 20,440 10,220 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

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