λ
Harmonic Matrix

6,470,413

312 × 6733
Deficient Odd Composite

6,470,413 has digital root 7. The neighboring primes are 6470411 and 6470417; its proper-divisor sum differs from the starting integer by -6,253,964.

Prime Factor Structure

Factorization String 31^2 × 6733
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,686,862
Proper Divisor Sum 216,449
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6470411 ← → #6470417

Radix Representation

Decimal 6470413
Binary 11000101011101100001101 (23 bits)
Octal 0o30535415
Hexadecimal 0x62BB0D

Divisor Catalog (6)

1 31 961 6,733 208,723 6,470,413

Collatz Trajectory (121 steps to reach 1)

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

6,470,413 19,411,240 9,705,620 4,852,810 2,426,405 7,279,216 3,639,608 1,819,804 909,902 454,951 1,364,854 682,427 2,047,282 1,023,641 3,070,924 1,535,462 767,731 2,303,194 1,151,597 3,454,792 1,727,396 863,698 431,849 1,295,548 647,774 323,887 971,662 485,831 1,457,494 728,747 2,186,242 1,093,121 3,279,364 1,639,682 819,841 2,459,524 1,229,762 614,881 1,844,644 922,322 461,161 1,383,484 691,742 345,871 1,037,614 518,807 1,556,422 778,211 2,334,634 1,167,317 3,501,952 1,750,976 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039

More profiles

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