λ
Integer Codex

6,782,627

6782627
Deficient Odd Prime

For 6,782,627, the 2 positive divisors have a total of 6,782,628. Removing 6,782,627 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 6782627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,782,628
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6782621 ← → #6782641

Radix Representation

Decimal 6782627
Binary 11001110111111010100011 (23 bits)
Octal 0o31677243
Hexadecimal 0x677EA3

Divisor Catalog (2)

Collatz Trajectory (253 steps to reach 1)

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

6,782,627 20,347,882 10,173,941 30,521,824 15,260,912 7,630,456 3,815,228 1,907,614 953,807 2,861,422 1,430,711 4,292,134 2,146,067 6,438,202 3,219,101 9,657,304 4,828,652 2,414,326 1,207,163 3,621,490 1,810,745 5,432,236 2,716,118 1,358,059 4,074,178 2,037,089 6,111,268 3,055,634 1,527,817 4,583,452 2,291,726 1,145,863 3,437,590 1,718,795 5,156,386 2,578,193 7,734,580 3,867,290 1,933,645 5,800,936 2,900,468 1,450,234 725,117 2,175,352 1,087,676 543,838 271,919 815,758 407,879 1,223,638 611,819 1,835,458 917,729 2,753,188 1,376,594 688,297 2,064,892 1,032,446 516,223 1,548,670

More profiles

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