7,717,377

3 × 59² × 739

7,717,377 has digital root 3. The neighboring primes are 7717373 and 7717379; its proper-divisor sum differs from the starting integer by -4,953,394.

Prime Factor Structure

Factorization String 3 × 59^2 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,481,360

Proper Divisor Sum 2,763,983

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7717373 ← → #7717379

Radix Representation

Decimal	7717377
Binary	11101011100001000000001 (23 bits)
Octal	0o35341001
Hexadecimal	0x75C201

Divisor Catalog (12)

1 3 59 177 739 2,217 3,481 10,443 43,601 130,803 2,572,459 7,717,377

Collatz Trajectory (217 steps to reach 1)

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

7,717,377 23,152,132 11,576,066 5,788,033 17,364,100 8,682,050 4,341,025 13,023,076 6,511,538 3,255,769 9,767,308 4,883,654 2,441,827 7,325,482 3,662,741 10,988,224 5,494,112 2,747,056 1,373,528 686,764 343,382 171,691 515,074 257,537 772,612 386,306 193,153 579,460 289,730 144,865 434,596 217,298 108,649 325,948 162,974 81,487 244,462 122,231 366,694 183,347 550,042 275,021 825,064 412,532 206,266 103,133 309,400 154,700 77,350 38,675 116,026 58,013 174,040 87,020 43,510 21,755 65,266 32,633 97,900 48,950

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