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Atlas › Integer Profiles › Node 3,392,016

3,392,016

24 × 3 × 70667
Abundant Even Composite

3,392,016 factors as 2^4 × 3 × 70667. Its 20 positive divisors give a proper-divisor sum of 5,370,816, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 70667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,762,832
Proper Divisor Sum 5,370,816
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3391991 ← → #3392021

Radix Representation

Decimal 3392016
Binary 1100111100001000010000 (22 bits)
Octal 0o14741020
Hexadecimal 0x33C210

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 70,667 141,334 212,001 282,668 424,002 565,336 848,004 1,130,672 1,696,008 3,392,016

Collatz Trajectory (128 steps to reach 1)

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

3,392,016 1,696,008 848,004 424,002 212,001 636,004 318,002 159,001 477,004 238,502 119,251 357,754 178,877 536,632 268,316 134,158 67,079 201,238 100,619 301,858 150,929 452,788 226,394 113,197 339,592 169,796 84,898 42,449 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590

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