7,176,981

3 × 7² × 48823

7,176,981 factors as 3 × 7^2 × 48823. Its 12 positive divisors give a proper-divisor sum of 3,954,891, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 48823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,131,872

Proper Divisor Sum 3,954,891

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7176979 ← → #7176997

Radix Representation

Decimal	7176981
Binary	11011011000001100010101 (23 bits)
Octal	0o33301425
Hexadecimal	0x6D8315

Divisor Catalog (12)

1 3 7 21 49 147 48,823 146,469 341,761 1,025,283 2,392,327 7,176,981

Collatz Trajectory (129 steps to reach 1)

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

7,176,981 21,530,944 10,765,472 5,382,736 2,691,368 1,345,684 672,842 336,421 1,009,264 504,632 252,316 126,158 63,079 189,238 94,619 283,858 141,929 425,788 212,894 106,447 319,342 159,671 479,014 239,507 718,522 359,261 1,077,784 538,892 269,446 134,723 404,170 202,085 606,256 303,128 151,564 75,782 37,891 113,674 56,837 170,512 85,256 42,628 21,314 10,657 31,972 15,986 7,993 23,980 11,990 5,995 17,986 8,993 26,980 13,490 6,745 20,236 10,118 5,059 15,178 7,589

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