3,462,310

2 × 5 × 29 × 11939

Starting at 3,462,310, the Collatz iteration reaches 1 after 115 steps. The first transition is 1731155; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 11939

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,447,600

Proper Divisor Sum 2,985,290

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3462307 ← → #3462311

Radix Representation

Decimal	3462310
Binary	1101001101010010100110 (22 bits)
Octal	0o15152246
Hexadecimal	0x34D4A6

Divisor Catalog (16)

1 2 5 10 29 58 145 290 11,939 23,878 59,695 119,390 346,231 692,462 1,731,155 3,462,310

Collatz Trajectory (115 steps to reach 1)

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

3,462,310 1,731,155 5,193,466 2,596,733 7,790,200 3,895,100 1,947,550 973,775 2,921,326 1,460,663 4,381,990 2,190,995 6,572,986 3,286,493 9,859,480 4,929,740 2,464,870 1,232,435 3,697,306 1,848,653 5,545,960 2,772,980 1,386,490 693,245 2,079,736 1,039,868 519,934 259,967 779,902 389,951 1,169,854 584,927 1,754,782 877,391 2,632,174 1,316,087 3,948,262 1,974,131 5,922,394 2,961,197 8,883,592 4,441,796 2,220,898 1,110,449 3,331,348 1,665,674 832,837 2,498,512 1,249,256 624,628 312,314 156,157 468,472 234,236 117,118 58,559 175,678 87,839 263,518 131,759

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