2,715,216

2⁴ × 3 × 7 × 8081

2,715,216 has digital root 6. The neighboring primes are 2715211 and 2715217; its proper-divisor sum differs from the starting integer by 2,586,912.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 8081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,017,344

Proper Divisor Sum 5,302,128

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2715211 ← → #2715217

Radix Representation

Decimal	2715216
Binary	1010010110111001010000 (22 bits)
Octal	0o12267120
Hexadecimal	0x296E50

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 8,081 16,162 24,243 32,324 48,486 56,567 64,648 96,972 113,134 129,296 169,701 193,944 226,268 339,402 387,888 452,536 678,804 905,072 1,357,608 2,715,216

Collatz Trajectory (107 steps to reach 1)

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

2,715,216 1,357,608 678,804 339,402 169,701 509,104 254,552 127,276 63,638 31,819 95,458 47,729 143,188 71,594 35,797 107,392 53,696 26,848 13,424 6,712 3,356 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481

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