7,719,896

2³ × 73 × 13219

Starting at 7,719,896, the Collatz iteration reaches 1 after 98 steps. The first transition is 3859948; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 73 × 13219

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,674,200

Proper Divisor Sum 6,954,304

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7719893 ← → #7719917

Radix Representation

Decimal	7719896
Binary	11101011100101111011000 (23 bits)
Octal	0o35345730
Hexadecimal	0x75CBD8

Divisor Catalog (16)

1 2 4 8 73 146 292 584 13,219 26,438 52,876 105,752 964,987 1,929,974 3,859,948 7,719,896

Collatz Trajectory (98 steps to reach 1)

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

7,719,896 3,859,948 1,929,974 964,987 2,894,962 1,447,481 4,342,444 2,171,222 1,085,611 3,256,834 1,628,417 4,885,252 2,442,626 1,221,313 3,663,940 1,831,970 915,985 2,747,956 1,373,978 686,989 2,060,968 1,030,484 515,242 257,621 772,864 386,432 193,216 96,608 48,304 24,152 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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