λ
Harmonic Matrix

6,845,958

2 × 34 × 7 × 6037
Abundant Even Composite

6,845,958 has digital root 9. The neighboring primes are 6845953 and 6845959; its proper-divisor sum differs from the starting integer by 3,842,436.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 6037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,534,352
Proper Divisor Sum 10,688,394
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6845953 ← → #6845959

Radix Representation

Decimal 6845958
Binary 11010000111011000000110 (23 bits)
Octal 0o32073006
Hexadecimal 0x687606

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 6,037 12,074 18,111 36,222 42,259 54,333 84,518 108,666 126,777 162,999 253,554 325,998 380,331 488,997 760,662 977,994 1,140,993 2,281,986 3,422,979 6,845,958

Collatz Trajectory (266 steps to reach 1)

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

6,845,958 3,422,979 10,268,938 5,134,469 15,403,408 7,701,704 3,850,852 1,925,426 962,713 2,888,140 1,444,070 722,035 2,166,106 1,083,053 3,249,160 1,624,580 812,290 406,145 1,218,436 609,218 304,609 913,828 456,914 228,457 685,372 342,686 171,343 514,030 257,015 771,046 385,523 1,156,570 578,285 1,734,856 867,428 433,714 216,857 650,572 325,286 162,643 487,930 243,965 731,896 365,948 182,974 91,487 274,462 137,231 411,694 205,847 617,542 308,771 926,314 463,157 1,389,472 694,736 347,368 173,684 86,842 43,421

More profiles

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