7,677,160

2³ × 5 × 191929

Starting at 7,677,160, the Collatz iteration reaches 1 after 111 steps. The first transition is 3838580; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 191929

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,273,700

Proper Divisor Sum 9,596,540

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7677151 ← → #7677161

Radix Representation

Decimal	7677160
Binary	11101010010010011101000 (23 bits)
Octal	0o35222350
Hexadecimal	0x7524E8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 191,929 383,858 767,716 959,645 1,535,432 1,919,290 3,838,580 7,677,160

Collatz Trajectory (111 steps to reach 1)

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

7,677,160 3,838,580 1,919,290 959,645 2,878,936 1,439,468 719,734 359,867 1,079,602 539,801 1,619,404 809,702 404,851 1,214,554 607,277 1,821,832 910,916 455,458 227,729 683,188 341,594 170,797 512,392 256,196 128,098 64,049 192,148 96,074 48,037 144,112 72,056 36,028 18,014 9,007 27,022 13,511 40,534 20,267 60,802 30,401 91,204 45,602 22,801 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354

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