3,463,908

2² × 3 × 7² × 43 × 137

Starting at 3,463,908, the Collatz iteration reaches 1 after 115 steps. The first transition is 1731954; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 43 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,690,912

Proper Divisor Sum 6,227,004

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3463907 ← → #3463919

Radix Representation

Decimal	3463908
Binary	1101001101101011100100 (22 bits)
Octal	0o15155344
Hexadecimal	0x34DAE4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 137 147 172 196 258 274 294 301 411 516 548 588 602 822 903 959 1,204 1,644 1,806 1,918 2,107 2,877 3,612 3,836 4,214 5,754 5,891 6,321 6,713 8,428 11,508 11,782 12,642 13,426 17,673 20,139 23,564 25,284 26,852 35,346 40,278 41,237 70,692

Collatz Trajectory (115 steps to reach 1)

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

3,463,908 1,731,954 865,977 2,597,932 1,298,966 649,483 1,948,450 974,225 2,922,676 1,461,338 730,669 2,192,008 1,096,004 548,002 274,001 822,004 411,002 205,501 616,504 308,252 154,126 77,063 231,190 115,595 346,786 173,393 520,180 260,090 130,045 390,136 195,068 97,534 48,767 146,302 73,151 219,454 109,727 329,182 164,591 493,774 246,887 740,662 370,331 1,110,994 555,497 1,666,492 833,246 416,623 1,249,870 624,935 1,874,806 937,403 2,812,210 1,406,105 4,218,316 2,109,158 1,054,579 3,163,738 1,581,869 4,745,608

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