3,711,912

2³ × 3 × 211 × 733

Starting at 3,711,912, the Collatz iteration reaches 1 after 172 steps. The first transition is 1855956; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 211 × 733

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,336,480

Proper Divisor Sum 5,624,568

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3711907 ← → #3711941

Radix Representation

Decimal	3711912
Binary	1110001010001110101000 (22 bits)
Octal	0o16121650
Hexadecimal	0x38A3A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 211 422 633 733 844 1,266 1,466 1,688 2,199 2,532 2,932 4,398 5,064 5,864 8,796 17,592 154,663 309,326 463,989 618,652 927,978 1,237,304 1,855,956 3,711,912

Collatz Trajectory (172 steps to reach 1)

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

3,711,912 1,855,956 927,978 463,989 1,391,968 695,984 347,992 173,996 86,998 43,499 130,498 65,249 195,748 97,874 48,937 146,812 73,406 36,703 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110

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