3,585,460

2² × 5 × 31 × 5783

Starting at 3,585,460, the Collatz iteration reaches 1 after 128 steps. The first transition is 1792730; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 5783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,773,696

Proper Divisor Sum 4,188,236

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3585457 ← → #3585467

Radix Representation

Decimal	3585460
Binary	1101101011010110110100 (22 bits)
Octal	0o15532664
Hexadecimal	0x36B5B4

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 5,783 11,566 23,132 28,915 57,830 115,660 179,273 358,546 717,092 896,365 1,792,730 3,585,460

Collatz Trajectory (128 steps to reach 1)

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

3,585,460 1,792,730 896,365 2,689,096 1,344,548 672,274 336,137 1,008,412 504,206 252,103 756,310 378,155 1,134,466 567,233 1,701,700 850,850 425,425 1,276,276 638,138 319,069 957,208 478,604 239,302 119,651 358,954 179,477 538,432 269,216 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760

← Previous Integer #3,585,459 Browse Full Index Next Integer #3,585,461 →