λ
Integer Codex

8,048,705

5 × 7 × 229963
Deficient Odd Composite

For 8,048,705, the 8 positive divisors have a total of 11,038,272. Removing 8,048,705 leaves 2,989,567, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7 × 229963
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,038,272
Proper Divisor Sum 2,989,567
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8048699 ← → #8048707

Radix Representation

Decimal 8048705
Binary 11110101101000001000001 (23 bits)
Octal 0o36550101
Hexadecimal 0x7AD041

Divisor Catalog (8)

1 5 7 35 229,963 1,149,815 1,609,741 8,048,705

Collatz Trajectory (137 steps to reach 1)

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

8,048,705 24,146,116 12,073,058 6,036,529 18,109,588 9,054,794 4,527,397 13,582,192 6,791,096 3,395,548 1,697,774 848,887 2,546,662 1,273,331 3,819,994 1,909,997 5,729,992 2,864,996 1,432,498 716,249 2,148,748 1,074,374 537,187 1,611,562 805,781 2,417,344 1,208,672 604,336 302,168 151,084 75,542 37,771 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806 23,903 71,710 35,855 107,566 53,783 161,350 80,675 242,026 121,013 363,040 181,520 90,760 45,380 22,690 11,345 34,036 17,018 8,509

More profiles

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