7,976,798

2 × 29 × 83 × 1657

Starting at 7,976,798, the Collatz iteration reaches 1 after 155 steps. The first transition is 3988399; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 83 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,534,480

Proper Divisor Sum 4,557,682

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #7976767 ← → #7976807

Radix Representation

Decimal	7976798
Binary	11110011011011101011110 (23 bits)
Octal	0o36333536
Hexadecimal	0x79B75E

Divisor Catalog (16)

1 2 29 58 83 166 1,657 2,407 3,314 4,814 48,053 96,106 137,531 275,062 3,988,399 7,976,798

Collatz Trajectory (155 steps to reach 1)

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

7,976,798 3,988,399 11,965,198 5,982,599 17,947,798 8,973,899 26,921,698 13,460,849 40,382,548 20,191,274 10,095,637 30,286,912 15,143,456 7,571,728 3,785,864 1,892,932 946,466 473,233 1,419,700 709,850 354,925 1,064,776 532,388 266,194 133,097 399,292 199,646 99,823 299,470 149,735 449,206 224,603 673,810 336,905 1,010,716 505,358 252,679 758,038 379,019 1,137,058 568,529 1,705,588 852,794 426,397 1,279,192 639,596 319,798 159,899 479,698 239,849 719,548 359,774 179,887 539,662 269,831 809,494 404,747 1,214,242 607,121 1,821,364

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