λ
Harmonic Matrix

6,374,671

19 × 157 × 2137
Deficient Odd Composite

6,374,671 has digital root 7. The neighboring primes are 6374659 and 6374689; its proper-divisor sum differs from the starting integer by -5,993,262.

Prime Factor Structure

Factorization String 19 × 157 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,756,080
Proper Divisor Sum 381,409
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6374659 ← → #6374689

Radix Representation

Decimal 6374671
Binary 11000010100010100001111 (23 bits)
Octal 0o30242417
Hexadecimal 0x61450F

Divisor Catalog (8)

1 19 157 2,137 2,983 40,603 335,509 6,374,671

Collatz Trajectory (103 steps to reach 1)

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

6,374,671 19,124,014 9,562,007 28,686,022 14,343,011 43,029,034 21,514,517 64,543,552 32,271,776 16,135,888 8,067,944 4,033,972 2,016,986 1,008,493 3,025,480 1,512,740 756,370 378,185 1,134,556 567,278 283,639 850,918 425,459 1,276,378 638,189 1,914,568 957,284 478,642 239,321 717,964 358,982 179,491 538,474 269,237 807,712 403,856 201,928 100,964 50,482 25,241 75,724 37,862 18,931 56,794 28,397 85,192 42,596 21,298 10,649 31,948 15,974 7,987 23,962 11,981 35,944 17,972 8,986 4,493 13,480 6,740

More profiles

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