2,165,716

2² × 7 × 77347

2,165,716 factors as 2^2 × 7 × 77347. Its 12 positive divisors give a proper-divisor sum of 2,165,772, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 77347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,331,488

Proper Divisor Sum 2,165,772

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2165711 ← → #2165741

Radix Representation

Decimal	2165716
Binary	1000010000101111010100 (22 bits)
Octal	0o10205724
Hexadecimal	0x210BD4

Divisor Catalog (12)

1 2 4 7 14 28 77,347 154,694 309,388 541,429 1,082,858 2,165,716

Collatz Trajectory (272 steps to reach 1)

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

2,165,716 1,082,858 541,429 1,624,288 812,144 406,072 203,036 101,518 50,759 152,278 76,139 228,418 114,209 342,628 171,314 85,657 256,972 128,486 64,243 192,730 96,365 289,096 144,548 72,274 36,137 108,412 54,206 27,103 81,310 40,655 121,966 60,983 182,950 91,475 274,426 137,213 411,640 205,820 102,910 51,455 154,366 77,183 231,550 115,775 347,326 173,663 520,990 260,495 781,486 390,743 1,172,230 586,115 1,758,346 879,173 2,637,520 1,318,760 659,380 329,690 164,845 494,536

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