3,648,282

2 × 3 × 11 × 167 × 331

Starting at 3,648,282, the Collatz iteration reaches 1 after 159 steps. The first transition is 1824141; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 167 × 331

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,031,744

Proper Divisor Sum 4,383,462

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3648277 ← → #3648289

Radix Representation

Decimal	3648282
Binary	1101111010101100011010 (22 bits)
Octal	0o15725432
Hexadecimal	0x37AB1A

Divisor Catalog (32)

1 2 3 6 11 22 33 66 167 331 334 501 662 993 1,002 1,837 1,986 3,641 3,674 5,511 7,282 10,923 11,022 21,846 55,277 110,554 165,831 331,662 608,047 1,216,094 1,824,141 3,648,282

Collatz Trajectory (159 steps to reach 1)

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

3,648,282 1,824,141 5,472,424 2,736,212 1,368,106 684,053 2,052,160 1,026,080 513,040 256,520 128,260 64,130 32,065 96,196 48,098 24,049 72,148 36,074 18,037 54,112 27,056 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646

← Previous Integer #3,648,281 Browse Full Index Next Integer #3,648,283 →