7,833,801

3 × 499 × 5233

Starting at 7,833,801, the Collatz iteration reaches 1 after 93 steps. The first transition is 23501404; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 499 × 5233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,468,000

Proper Divisor Sum 2,634,199

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7833781 ← → #7833809

Radix Representation

Decimal	7833801
Binary	11101111000100011001001 (23 bits)
Octal	0o35704311
Hexadecimal	0x7788C9

Divisor Catalog (8)

1 3 499 1,497 5,233 15,699 2,611,267 7,833,801

Collatz Trajectory (93 steps to reach 1)

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

7,833,801 23,501,404 11,750,702 5,875,351 17,626,054 8,813,027 26,439,082 13,219,541 39,658,624 19,829,312 9,914,656 4,957,328 2,478,664 1,239,332 619,666 309,833 929,500 464,750 232,375 697,126 348,563 1,045,690 522,845 1,568,536 784,268 392,134 196,067 588,202 294,101 882,304 441,152 220,576 110,288 55,144 27,572 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

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