λ
Integer Codex

8,142,683

8142683
Deficient Odd Prime

For 8,142,683, the 2 positive divisors have a total of 8,142,684. Removing 8,142,683 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8142683
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,142,684
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8142671 ← → #8142727

Radix Representation

Decimal 8142683
Binary 11111000011111101011011 (23 bits)
Octal 0o37037533
Hexadecimal 0x7C3F5B

Divisor Catalog (2)

1 8,142,683

Collatz Trajectory (168 steps to reach 1)

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

8,142,683 24,428,050 12,214,025 36,642,076 18,321,038 9,160,519 27,481,558 13,740,779 41,222,338 20,611,169 61,833,508 30,916,754 15,458,377 46,375,132 23,187,566 11,593,783 34,781,350 17,390,675 52,172,026 26,086,013 78,258,040 39,129,020 19,564,510 9,782,255 29,346,766 14,673,383 44,020,150 22,010,075 66,030,226 33,015,113 99,045,340 49,522,670 24,761,335 74,284,006 37,142,003 111,426,010 55,713,005 167,139,016 83,569,508 41,784,754 20,892,377 62,677,132 31,338,566 15,669,283 47,007,850 23,503,925 70,511,776 35,255,888 17,627,944 8,813,972 4,406,986 2,203,493 6,610,480 3,305,240 1,652,620 826,310 413,155 1,239,466 619,733 1,859,200

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