7,778,625

3 × 5³ × 20743

7,778,625 is odd and not a perfect square. Its factorization is 3 × 5^3 × 20743 and its 16 divisors sum to 12,944,256.

Prime Factor Structure

Factorization String 3 × 5^3 × 20743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,944,256

Proper Divisor Sum 5,165,631

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7778611 ← → #7778627

Radix Representation

Decimal	7778625
Binary	11101101011000101000001 (23 bits)
Octal	0o35530501
Hexadecimal	0x76B141

Divisor Catalog (16)

1 3 5 15 25 75 125 375 20,743 62,229 103,715 311,145 518,575 1,555,725 2,592,875 7,778,625

Collatz Trajectory (178 steps to reach 1)

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

7,778,625 23,335,876 11,667,938 5,833,969 17,501,908 8,750,954 4,375,477 13,126,432 6,563,216 3,281,608 1,640,804 820,402 410,201 1,230,604 615,302 307,651 922,954 461,477 1,384,432 692,216 346,108 173,054 86,527 259,582 129,791 389,374 194,687 584,062 292,031 876,094 438,047 1,314,142 657,071 1,971,214 985,607 2,956,822 1,478,411 4,435,234 2,217,617 6,652,852 3,326,426 1,663,213 4,989,640 2,494,820 1,247,410 623,705 1,871,116 935,558 467,779 1,403,338 701,669 2,105,008 1,052,504 526,252 263,126 131,563 394,690 197,345 592,036 296,018

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