λ
Prime Ledger

6,990,315

3 × 5 × 17 × 79 × 347
Deficient Odd Composite

6,990,315 has the prime decomposition 3 × 5 × 17 × 79 × 347. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 79 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,026,880
Proper Divisor Sum 5,036,565
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6990307 ← → #6990317

Radix Representation

Decimal 6990315
Binary 11010101010100111101011 (23 bits)
Octal 0o32524753
Hexadecimal 0x6AA9EB

Divisor Catalog (32)

1 3 5 15 17 51 79 85 237 255 347 395 1,041 1,185 1,343 1,735 4,029 5,205 5,899 6,715 17,697 20,145 27,413 29,495 82,239 88,485 137,065 411,195 466,021 1,398,063 2,330,105 6,990,315

Collatz Trajectory (266 steps to reach 1)

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

6,990,315 20,970,946 10,485,473 31,456,420 15,728,210 7,864,105 23,592,316 11,796,158 5,898,079 17,694,238 8,847,119 26,541,358 13,270,679 39,812,038 19,906,019 59,718,058 29,859,029 89,577,088 44,788,544 22,394,272 11,197,136 5,598,568 2,799,284 1,399,642 699,821 2,099,464 1,049,732 524,866 262,433 787,300 393,650 196,825 590,476 295,238 147,619 442,858 221,429 664,288 332,144 166,072 83,036 41,518 20,759 62,278 31,139 93,418 46,709 140,128 70,064 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391

More profiles

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