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2,928,016

24 × 7 × 13 × 2011
Abundant Even Composite

2,928,016 factors as 2^4 × 7 × 13 × 2011. Its 40 positive divisors give a proper-divisor sum of 4,057,648, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 2011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,985,664
Proper Divisor Sum 4,057,648
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2928007 ← → #2928017

Radix Representation

Decimal 2928016
Binary 1011001010110110010000 (22 bits)
Octal 0o13126620
Hexadecimal 0x2CAD90

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 2,011 4,022 8,044 14,077 16,088 26,143 28,154 32,176 52,286 56,308 104,572 112,616 183,001 209,144 225,232 366,002 418,288 732,004 1,464,008 2,928,016

Collatz Trajectory (76 steps to reach 1)

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

2,928,016 1,464,008 732,004 366,002 183,001 549,004 274,502 137,251 411,754 205,877 617,632 308,816 154,408 77,204 38,602 19,301 57,904 28,952 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88

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