λ
Harmonic Matrix

7,942,281

3 × 17 × 155731
Deficient Odd Composite

7,942,281 has digital root 6. The neighboring primes are 7942279 and 7942303; its proper-divisor sum differs from the starting integer by -4,671,858.

Prime Factor Structure

Factorization String 3 × 17 × 155731
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,212,704
Proper Divisor Sum 3,270,423
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7942279 ← → #7942303

Radix Representation

Decimal 7942281
Binary 11110010011000010001001 (23 bits)
Octal 0o36230211
Hexadecimal 0x793089

Divisor Catalog (8)

1 3 17 51 155,731 467,193 2,647,427 7,942,281

Collatz Trajectory (248 steps to reach 1)

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

7,942,281 23,826,844 11,913,422 5,956,711 17,870,134 8,935,067 26,805,202 13,402,601 40,207,804 20,103,902 10,051,951 30,155,854 15,077,927 45,233,782 22,616,891 67,850,674 33,925,337 101,776,012 50,888,006 25,444,003 76,332,010 38,166,005 114,498,016 57,249,008 28,624,504 14,312,252 7,156,126 3,578,063 10,734,190 5,367,095 16,101,286 8,050,643 24,151,930 12,075,965 36,227,896 18,113,948 9,056,974 4,528,487 13,585,462 6,792,731 20,378,194 10,189,097 30,567,292 15,283,646 7,641,823 22,925,470 11,462,735 34,388,206 17,194,103 51,582,310 25,791,155 77,373,466 38,686,733 116,060,200 58,030,100 29,015,050 14,507,525 43,522,576 21,761,288 10,880,644

More profiles

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