7,804,790

2 × 5 × 7 × 111497

Starting at 7,804,790, the Collatz iteration reaches 1 after 98 steps. The first transition is 3902395; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 111497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,055,712

Proper Divisor Sum 8,250,922

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7804789 ← → #7804793

Radix Representation

Decimal	7804790
Binary	11101110001011101110110 (23 bits)
Octal	0o35613566
Hexadecimal	0x771776

Divisor Catalog (16)

1 2 5 7 10 14 35 70 111,497 222,994 557,485 780,479 1,114,970 1,560,958 3,902,395 7,804,790

Collatz Trajectory (98 steps to reach 1)

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

7,804,790 3,902,395 11,707,186 5,853,593 17,560,780 8,780,390 4,390,195 13,170,586 6,585,293 19,755,880 9,877,940 4,938,970 2,469,485 7,408,456 3,704,228 1,852,114 926,057 2,778,172 1,389,086 694,543 2,083,630 1,041,815 3,125,446 1,562,723 4,688,170 2,344,085 7,032,256 3,516,128 1,758,064 879,032 439,516 219,758 109,879 329,638 164,819 494,458 247,229 741,688 370,844 185,422 92,711 278,134 139,067 417,202 208,601 625,804 312,902 156,451 469,354 234,677 704,032 352,016 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504

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