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Atlas › Integer Profiles › Node 3,969,342

3,969,342

2 × 32 × 13 × 16963
Abundant Even Composite

3,969,342 factors as 2 × 3^2 × 13 × 16963. Its 24 positive divisors give a proper-divisor sum of 5,293,002, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 16963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,262,344
Proper Divisor Sum 5,293,002
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3969307 ← → #3969349

Radix Representation

Decimal 3969342
Binary 1111001001000100111110 (22 bits)
Octal 0o17110476
Hexadecimal 0x3C913E

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 16,963 33,926 50,889 101,778 152,667 220,519 305,334 441,038 661,557 1,323,114 1,984,671 3,969,342

Collatz Trajectory (203 steps to reach 1)

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

3,969,342 1,984,671 5,954,014 2,977,007 8,931,022 4,465,511 13,396,534 6,698,267 20,094,802 10,047,401 30,142,204 15,071,102 7,535,551 22,606,654 11,303,327 33,909,982 16,954,991 50,864,974 25,432,487 76,297,462 38,148,731 114,446,194 57,223,097 171,669,292 85,834,646 42,917,323 128,751,970 64,375,985 193,127,956 96,563,978 48,281,989 144,845,968 72,422,984 36,211,492 18,105,746 9,052,873 27,158,620 13,579,310 6,789,655 20,368,966 10,184,483 30,553,450 15,276,725 45,830,176 22,915,088 11,457,544 5,728,772 2,864,386 1,432,193 4,296,580 2,148,290 1,074,145 3,222,436 1,611,218 805,609 2,416,828 1,208,414 604,207 1,812,622 906,311

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