6,340,341

3 × 7 × 23 × 13127

6,340,341 factors as 3 × 7 × 23 × 13127. Its 16 positive divisors give a proper-divisor sum of 3,741,963, so this integer is deficient. The Collatz stopping time is 302 steps.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 13127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,082,304

Proper Divisor Sum 3,741,963

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #6340297 ← → #6340343

Radix Representation

Decimal	6340341
Binary	11000001011111011110101 (23 bits)
Octal	0o30137365
Hexadecimal	0x60BEF5

Divisor Catalog (16)

1 3 7 21 23 69 161 483 13,127 39,381 91,889 275,667 301,921 905,763 2,113,447 6,340,341

Collatz Trajectory (302 steps to reach 1)

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

6,340,341 19,021,024 9,510,512 4,755,256 2,377,628 1,188,814 594,407 1,783,222 891,611 2,674,834 1,337,417 4,012,252 2,006,126 1,003,063 3,009,190 1,504,595 4,513,786 2,256,893 6,770,680 3,385,340 1,692,670 846,335 2,539,006 1,269,503 3,808,510 1,904,255 5,712,766 2,856,383 8,569,150 4,284,575 12,853,726 6,426,863 19,280,590 9,640,295 28,920,886 14,460,443 43,381,330 21,690,665 65,071,996 32,535,998 16,267,999 48,803,998 24,401,999 73,205,998 36,602,999 109,808,998 54,904,499 164,713,498 82,356,749 247,070,248 123,535,124 61,767,562 30,883,781 92,651,344 46,325,672 23,162,836 11,581,418 5,790,709 17,372,128 8,686,064

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