6,772,961

13 × 37 × 14081

6,772,961 has digital root 2. The neighboring primes are 6772951 and 6772967; its proper-divisor sum differs from the starting integer by -6,054,298.

Prime Factor Structure

Factorization String 13 × 37 × 14081

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,491,624

Proper Divisor Sum 718,663

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6772951 ← → #6772967

Radix Representation

Decimal	6772961
Binary	11001110101100011100001 (23 bits)
Octal	0o31654341
Hexadecimal	0x6758E1

Divisor Catalog (8)

1 13 37 481 14,081 183,053 520,997 6,772,961

Collatz Trajectory (134 steps to reach 1)

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

6,772,961 20,318,884 10,159,442 5,079,721 15,239,164 7,619,582 3,809,791 11,429,374 5,714,687 17,144,062 8,572,031 25,716,094 12,858,047 38,574,142 19,287,071 57,861,214 28,930,607 86,791,822 43,395,911 130,187,734 65,093,867 195,281,602 97,640,801 292,922,404 146,461,202 73,230,601 219,691,804 109,845,902 54,922,951 164,768,854 82,384,427 247,153,282 123,576,641 370,729,924 185,364,962 92,682,481 278,047,444 139,023,722 69,511,861 208,535,584 104,267,792 52,133,896 26,066,948 13,033,474 6,516,737 19,550,212 9,775,106 4,887,553 14,662,660 7,331,330 3,665,665 10,996,996 5,498,498 2,749,249 8,247,748 4,123,874 2,061,937 6,185,812 3,092,906 1,546,453

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