λ
Ratio Atlas

1,678,047

3 × 7 × 79907
Deficient Odd Composite

1,678,047 factors as 3 × 7 × 79907. Its 8 positive divisors give a proper-divisor sum of 879,009, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 7 × 79907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,557,056
Proper Divisor Sum 879,009
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1678037 ← → #1678067

Radix Representation

Decimal 1678047
Binary 110011001101011011111 (21 bits)
Octal 0o6315337
Hexadecimal 0x199ADF

Divisor Catalog (8)

1 3 7 21 79,907 239,721 559,349 1,678,047

Collatz Trajectory (114 steps to reach 1)

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

1,678,047 5,034,142 2,517,071 7,551,214 3,775,607 11,326,822 5,663,411 16,990,234 8,495,117 25,485,352 12,742,676 6,371,338 3,185,669 9,557,008 4,778,504 2,389,252 1,194,626 597,313 1,791,940 895,970 447,985 1,343,956 671,978 335,989 1,007,968 503,984 251,992 125,996 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934 9,967 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868

More profiles

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