616,977

3⁵ × 2539

Starting at 616,977, the Collatz iteration reaches 1 after 128 steps. The first transition is 1850932; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 2539

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 924,560

Proper Divisor Sum 307,583

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #616961 ← → #616991

Radix Representation

Decimal	616977
Binary	10010110101000010001 (20 bits)
Octal	0o2265021
Hexadecimal	0x96A11

Divisor Catalog (12)

1 3 9 27 81 243 2,539 7,617 22,851 68,553 205,659 616,977

Collatz Trajectory (128 steps to reach 1)

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

616,977 1,850,932 925,466 462,733 1,388,200 694,100 347,050 173,525 520,576 260,288 130,144 65,072 32,536 16,268 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

← Previous Integer #616,976 Browse Full Index Next Integer #616,978 →