3,648,276

2² × 3² × 101341

Starting at 3,648,276, the Collatz iteration reaches 1 after 159 steps. The first transition is 1824138; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 101341

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,222,122

Proper Divisor Sum 5,573,846

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3648269 ← → #3648277

Radix Representation

Decimal	3648276
Binary	1101111010101100010100 (22 bits)
Octal	0o15725424
Hexadecimal	0x37AB14

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 101,341 202,682 304,023 405,364 608,046 912,069 1,216,092 1,824,138 3,648,276

Collatz Trajectory (159 steps to reach 1)

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

3,648,276 1,824,138 912,069 2,736,208 1,368,104 684,052 342,026 171,013 513,040 256,520 128,260 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 #3,648,275 Browse Full Index Next Integer #3,648,277 →