2,684,311

7 × 41 × 47 × 199

2,684,311 factors as 7 × 41 × 47 × 199. Its 16 positive divisors give a proper-divisor sum of 541,289, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 7 × 41 × 47 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,225,600

Proper Divisor Sum 541,289

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2684299 ← → #2684333

Radix Representation

Decimal	2684311
Binary	1010001111010110010111 (22 bits)
Octal	0o12172627
Hexadecimal	0x28F597

Divisor Catalog (16)

1 7 41 47 199 287 329 1,393 1,927 8,159 9,353 13,489 57,113 65,471 383,473 2,684,311

Collatz Trajectory (249 steps to reach 1)

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

2,684,311 8,052,934 4,026,467 12,079,402 6,039,701 18,119,104 9,059,552 4,529,776 2,264,888 1,132,444 566,222 283,111 849,334 424,667 1,274,002 637,001 1,911,004 955,502 477,751 1,433,254 716,627 2,149,882 1,074,941 3,224,824 1,612,412 806,206 403,103 1,209,310 604,655 1,813,966 906,983 2,720,950 1,360,475 4,081,426 2,040,713 6,122,140 3,061,070 1,530,535 4,591,606 2,295,803 6,887,410 3,443,705 10,331,116 5,165,558 2,582,779 7,748,338 3,874,169 11,622,508 5,811,254 2,905,627 8,716,882 4,358,441 13,075,324 6,537,662 3,268,831 9,806,494 4,903,247 14,709,742 7,354,871 22,064,614

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