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Atlas › Integer Profiles › Node 3,209,928

3,209,928

23 × 3 × 79 × 1693
Abundant Even Composite

3,209,928 factors as 2^3 × 3 × 79 × 1693. Its 32 positive divisors give a proper-divisor sum of 4,921,272, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 79 × 1693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,131,200
Proper Divisor Sum 4,921,272
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3209891 ← → #3209929

Radix Representation

Decimal 3209928
Binary 1100001111101011001000 (22 bits)
Octal 0o14175310
Hexadecimal 0x30FAC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1,693 1,896 3,386 5,079 6,772 10,158 13,544 20,316 40,632 133,747 267,494 401,241 534,988 802,482 1,069,976 1,604,964 3,209,928

Collatz Trajectory (146 steps to reach 1)

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

3,209,928 1,604,964 802,482 401,241 1,203,724 601,862 300,931 902,794 451,397 1,354,192 677,096 338,548 169,274 84,637 253,912 126,956 63,478 31,739 95,218 47,609 142,828 71,414 35,707 107,122 53,561 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193 135,580 67,790 33,895 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165

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