7,778,615

5 × 13 × 119671

7,778,615 factors as 5 × 13 × 119671. Its 8 positive divisors give a proper-divisor sum of 2,273,833, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 5 × 13 × 119671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,052,448

Proper Divisor Sum 2,273,833

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7778611 ← → #7778627

Radix Representation

Decimal	7778615
Binary	11101101011000100110111 (23 bits)
Octal	0o35530467
Hexadecimal	0x76B137

Divisor Catalog (8)

1 5 13 65 119,671 598,355 1,555,723 7,778,615

Collatz Trajectory (178 steps to reach 1)

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

7,778,615 23,335,846 11,667,923 35,003,770 17,501,885 52,505,656 26,252,828 13,126,414 6,563,207 19,689,622 9,844,811 29,534,434 14,767,217 44,301,652 22,150,826 11,075,413 33,226,240 16,613,120 8,306,560 4,153,280 2,076,640 1,038,320 519,160 259,580 129,790 64,895 194,686 97,343 292,030 146,015 438,046 219,023 657,070 328,535 985,606 492,803 1,478,410 739,205 2,217,616 1,108,808 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782 233,891 701,674 350,837 1,052,512 526,256 263,128 131,564 65,782 32,891 98,674 49,337

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