7,863,242

2 × 499 × 7879

Starting at 7,863,242, the Collatz iteration reaches 1 after 173 steps. The first transition is 3931621; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 499 × 7879

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,820,000

Proper Divisor Sum 3,956,758

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7863227 ← → #7863253

Radix Representation

Decimal	7863242
Binary	11101111111101111001010 (23 bits)
Octal	0o35775712
Hexadecimal	0x77FBCA

Divisor Catalog (8)

1 2 499 998 7,879 15,758 3,931,621 7,863,242

Collatz Trajectory (173 steps to reach 1)

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

7,863,242 3,931,621 11,794,864 5,897,432 2,948,716 1,474,358 737,179 2,211,538 1,105,769 3,317,308 1,658,654 829,327 2,487,982 1,243,991 3,731,974 1,865,987 5,597,962 2,798,981 8,396,944 4,198,472 2,099,236 1,049,618 524,809 1,574,428 787,214 393,607 1,180,822 590,411 1,771,234 885,617 2,656,852 1,328,426 664,213 1,992,640 996,320 498,160 249,080 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874

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