3,220,210

2 × 5 × 7 × 179 × 257

Starting at 3,220,210, the Collatz iteration reaches 1 after 239 steps. The first transition is 1610105; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 179 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,687,360

Proper Divisor Sum 3,467,150

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #3220201 ← → #3220211

Radix Representation

Decimal	3220210
Binary	1100010010001011110010 (22 bits)
Octal	0o14221362
Hexadecimal	0x3122F2

Divisor Catalog (32)

1 2 5 7 10 14 35 70 179 257 358 514 895 1,253 1,285 1,790 1,799 2,506 2,570 3,598 6,265 8,995 12,530 17,990 46,003 92,006 230,015 322,021 460,030 644,042 1,610,105 3,220,210

Collatz Trajectory (239 steps to reach 1)

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

3,220,210 1,610,105 4,830,316 2,415,158 1,207,579 3,622,738 1,811,369 5,434,108 2,717,054 1,358,527 4,075,582 2,037,791 6,113,374 3,056,687 9,170,062 4,585,031 13,755,094 6,877,547 20,632,642 10,316,321 30,948,964 15,474,482 7,737,241 23,211,724 11,605,862 5,802,931 17,408,794 8,704,397 26,113,192 13,056,596 6,528,298 3,264,149 9,792,448 4,896,224 2,448,112 1,224,056 612,028 306,014 153,007 459,022 229,511 688,534 344,267 1,032,802 516,401 1,549,204 774,602 387,301 1,161,904 580,952 290,476 145,238 72,619 217,858 108,929 326,788 163,394 81,697 245,092 122,546

← Previous Integer #3,220,209 Browse Full Index Next Integer #3,220,211 →