λ
Prime Ledger

6,996,976

24 × 7 × 62473
Abundant Even Composite

6,996,976 has the prime decomposition 2^4 × 7 × 62473. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 62473
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,493,552
Proper Divisor Sum 8,496,576
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #6996967 ← → #6996989

Radix Representation

Decimal 6996976
Binary 11010101100001111110000 (23 bits)
Octal 0o32541760
Hexadecimal 0x6AC3F0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 62,473 124,946 249,892 437,311 499,784 874,622 999,568 1,749,244 3,498,488 6,996,976

Collatz Trajectory (129 steps to reach 1)

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

6,996,976 3,498,488 1,749,244 874,622 437,311 1,311,934 655,967 1,967,902 983,951 2,951,854 1,475,927 4,427,782 2,213,891 6,641,674 3,320,837 9,962,512 4,981,256 2,490,628 1,245,314 622,657 1,867,972 933,986 466,993 1,400,980 700,490 350,245 1,050,736 525,368 262,684 131,342 65,671 197,014 98,507 295,522 147,761 443,284 221,642 110,821 332,464 166,232 83,116 41,558 20,779 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386

More profiles

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