7,970,775

3 × 5² × 106277

7,970,775 factors as 3 × 5^2 × 106277. Its 12 positive divisors give a proper-divisor sum of 5,207,697, so this integer is deficient. The Collatz stopping time is 416 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 106277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,178,472

Proper Divisor Sum 5,207,697

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7970771 ← → #7970783

Radix Representation

Decimal	7970775
Binary	11110011001111111010111 (23 bits)
Octal	0o36317727
Hexadecimal	0x799FD7

Divisor Catalog (12)

1 3 5 15 25 75 106,277 318,831 531,385 1,594,155 2,656,925 7,970,775

Collatz Trajectory (416 steps to reach 1)

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

7,970,775 23,912,326 11,956,163 35,868,490 17,934,245 53,802,736 26,901,368 13,450,684 6,725,342 3,362,671 10,088,014 5,044,007 15,132,022 7,566,011 22,698,034 11,349,017 34,047,052 17,023,526 8,511,763 25,535,290 12,767,645 38,302,936 19,151,468 9,575,734 4,787,867 14,363,602 7,181,801 21,545,404 10,772,702 5,386,351 16,159,054 8,079,527 24,238,582 12,119,291 36,357,874 18,178,937 54,536,812 27,268,406 13,634,203 40,902,610 20,451,305 61,353,916 30,676,958 15,338,479 46,015,438 23,007,719 69,023,158 34,511,579 103,534,738 51,767,369 155,302,108 77,651,054 38,825,527 116,476,582 58,238,291 174,714,874 87,357,437 262,072,312 131,036,156 65,518,078

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