λ
Math Directory

6,517,670

2 × 5 × 651767
Deficient Even Composite

6,517,670 factors as 2 × 5 × 651767. Its 8 positive divisors give a proper-divisor sum of 5,214,154, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 651767
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,731,824
Proper Divisor Sum 5,214,154
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6517649 ← → #6517673

Radix Representation

Decimal 6517670
Binary 11000110111001110100110 (23 bits)
Octal 0o30671646
Hexadecimal 0x6373A6

Divisor Catalog (8)

1 2 5 10 651,767 1,303,534 3,258,835 6,517,670

Collatz Trajectory (165 steps to reach 1)

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

6,517,670 3,258,835 9,776,506 4,888,253 14,664,760 7,332,380 3,666,190 1,833,095 5,499,286 2,749,643 8,248,930 4,124,465 12,373,396 6,186,698 3,093,349 9,280,048 4,640,024 2,320,012 1,160,006 580,003 1,740,010 870,005 2,610,016 1,305,008 652,504 326,252 163,126 81,563 244,690 122,345 367,036 183,518 91,759 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267 696,802 348,401 1,045,204 522,602 261,301 783,904 391,952 195,976 97,988 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890

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