λ
Prime Ledger

7,087,605

3 × 5 × 72 × 9643
Deficient Odd Composite

7,087,605 has the prime decomposition 3 × 5 × 7^2 × 9643. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 9643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,192,992
Proper Divisor Sum 6,105,387
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7087603 ← → #7087631

Radix Representation

Decimal 7087605
Binary 11011000010010111110101 (23 bits)
Octal 0o33022765
Hexadecimal 0x6C25F5

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 9,643 28,929 48,215 67,501 144,645 202,503 337,505 472,507 1,012,515 1,417,521 2,362,535 7,087,605

Collatz Trajectory (222 steps to reach 1)

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

7,087,605 21,262,816 10,631,408 5,315,704 2,657,852 1,328,926 664,463 1,993,390 996,695 2,990,086 1,495,043 4,485,130 2,242,565 6,727,696 3,363,848 1,681,924 840,962 420,481 1,261,444 630,722 315,361 946,084 473,042 236,521 709,564 354,782 177,391 532,174 266,087 798,262 399,131 1,197,394 598,697 1,796,092 898,046 449,023 1,347,070 673,535 2,020,606 1,010,303 3,030,910 1,515,455 4,546,366 2,273,183 6,819,550 3,409,775 10,229,326 5,114,663 15,343,990 7,671,995 23,015,986 11,507,993 34,523,980 17,261,990 8,630,995 25,892,986 12,946,493 38,839,480 19,419,740 9,709,870

More profiles

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