7,799,928

2³ × 3 × 324997

Starting at 7,799,928, the Collatz iteration reaches 1 after 155 steps. The first transition is 3899964; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 324997

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,499,880

Proper Divisor Sum 11,699,952

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #7799903 ← → #7799929

Radix Representation

Decimal	7799928
Binary	11101110000010001111000 (23 bits)
Octal	0o35602170
Hexadecimal	0x770478

Divisor Catalog (16)

1 2 3 4 6 8 12 24 324,997 649,994 974,991 1,299,988 1,949,982 2,599,976 3,899,964 7,799,928

Collatz Trajectory (155 steps to reach 1)

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

7,799,928 3,899,964 1,949,982 974,991 2,924,974 1,462,487 4,387,462 2,193,731 6,581,194 3,290,597 9,871,792 4,935,896 2,467,948 1,233,974 616,987 1,850,962 925,481 2,776,444 1,388,222 694,111 2,082,334 1,041,167 3,123,502 1,561,751 4,685,254 2,342,627 7,027,882 3,513,941 10,541,824 5,270,912 2,635,456 1,317,728 658,864 329,432 164,716 82,358 41,179 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246

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