3,214,710

2 × 3² × 5 × 23 × 1553

Starting at 3,214,710, the Collatz iteration reaches 1 after 120 steps. The first transition is 1607355; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 23 × 1553

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,727,264

Proper Divisor Sum 5,512,554

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3214703 ← → #3214711

Radix Representation

Decimal	3214710
Binary	1100010000110101110110 (22 bits)
Octal	0o14206566
Hexadecimal	0x310D76

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1,035 1,553 2,070 3,106 4,659 7,765 9,318 13,977 15,530 23,295 27,954 35,719 46,590 69,885 71,438 107,157 139,770 178,595 214,314 321,471 357,190 535,785 642,942 1,071,570 1,607,355 3,214,710

Collatz Trajectory (120 steps to reach 1)

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

3,214,710 1,607,355 4,822,066 2,411,033 7,233,100 3,616,550 1,808,275 5,424,826 2,712,413 8,137,240 4,068,620 2,034,310 1,017,155 3,051,466 1,525,733 4,577,200 2,288,600 1,144,300 572,150 286,075 858,226 429,113 1,287,340 643,670 321,835 965,506 482,753 1,448,260 724,130 362,065 1,086,196 543,098 271,549 814,648 407,324 203,662 101,831 305,494 152,747 458,242 229,121 687,364 343,682 171,841 515,524 257,762 128,881 386,644 193,322 96,661 289,984 144,992 72,496 36,248 18,124 9,062 4,531 13,594 6,797 20,392

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