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Atlas › Integer Profiles › Node 3,972,016

3,972,016

24 × 172 × 859
Abundant Even Composite

3,972,016 factors as 2^4 × 17^2 × 859. Its 30 positive divisors give a proper-divisor sum of 4,212,604, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 17^2 × 859
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 8,184,620
Proper Divisor Sum 4,212,604
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3972011 ← → #3972019

Radix Representation

Decimal 3972016
Binary 1111001001101110110000 (22 bits)
Octal 0o17115660
Hexadecimal 0x3C9BB0

Divisor Catalog (30)

1 2 4 8 16 17 34 68 136 272 289 578 859 1,156 1,718 2,312 3,436 4,624 6,872 13,744 14,603 29,206 58,412 116,824 233,648 248,251 496,502 993,004 1,986,008 3,972,016

Collatz Trajectory (123 steps to reach 1)

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

3,972,016 1,986,008 993,004 496,502 248,251 744,754 372,377 1,117,132 558,566 279,283 837,850 418,925 1,256,776 628,388 314,194 157,097 471,292 235,646 117,823 353,470 176,735 530,206 265,103 795,310 397,655 1,192,966 596,483 1,789,450 894,725 2,684,176 1,342,088 671,044 335,522 167,761 503,284 251,642 125,821 377,464 188,732 94,366 47,183 141,550 70,775 212,326 106,163 318,490 159,245 477,736 238,868 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199

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