7,680,190

2 × 5 × 7 × 109717

Starting at 7,680,190, the Collatz iteration reaches 1 after 124 steps. The first transition is 3840095; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 109717

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,799,392

Proper Divisor Sum 8,119,202

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7680181 ← → #7680191

Radix Representation

Decimal	7680190
Binary	11101010011000010111110 (23 bits)
Octal	0o35230276
Hexadecimal	0x7530BE

Divisor Catalog (16)

1 2 5 7 10 14 35 70 109,717 219,434 548,585 768,019 1,097,170 1,536,038 3,840,095 7,680,190

Collatz Trajectory (124 steps to reach 1)

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

7,680,190 3,840,095 11,520,286 5,760,143 17,280,430 8,640,215 25,920,646 12,960,323 38,880,970 19,440,485 58,321,456 29,160,728 14,580,364 7,290,182 3,645,091 10,935,274 5,467,637 16,402,912 8,201,456 4,100,728 2,050,364 1,025,182 512,591 1,537,774 768,887 2,306,662 1,153,331 3,459,994 1,729,997 5,189,992 2,594,996 1,297,498 648,749 1,946,248 973,124 486,562 243,281 729,844 364,922 182,461 547,384 273,692 136,846 68,423 205,270 102,635 307,906 153,953 461,860 230,930 115,465 346,396 173,198 86,599 259,798 129,899 389,698 194,849 584,548 292,274

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