7,738,688

2⁶ × 120917

7,738,688 is even and not a perfect square. Its factorization is 2^6 × 120917 and its 14 divisors sum to 15,356,586.

Prime Factor Structure

Factorization String 2^6 × 120917

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 15,356,586

Proper Divisor Sum 7,617,898

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7738663 ← → #7738693

Radix Representation

Decimal	7738688
Binary	11101100001010101000000 (23 bits)
Octal	0o35412500
Hexadecimal	0x761540

Divisor Catalog (14)

1 2 4 8 16 32 64 120,917 241,834 483,668 967,336 1,934,672 3,869,344 7,738,688

Collatz Trajectory (93 steps to reach 1)

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

7,738,688 3,869,344 1,934,672 967,336 483,668 241,834 120,917 362,752 181,376 90,688 45,344 22,672 11,336 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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