λ
Integer Codex

5,578,797

3 × 72 × 37951
Deficient Odd Composite

For 5,578,797, the 12 positive divisors have a total of 8,653,056. Removing 5,578,797 leaves 3,074,259, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7^2 × 37951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,653,056
Proper Divisor Sum 3,074,259
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5578763 ← → #5578813

Radix Representation

Decimal 5578797
Binary 10101010010000000101101 (23 bits)
Octal 0o25220055
Hexadecimal 0x55202D

Divisor Catalog (12)

1 3 7 21 49 147 37,951 113,853 265,657 796,971 1,859,599 5,578,797

Collatz Trajectory (139 steps to reach 1)

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

5,578,797 16,736,392 8,368,196 4,184,098 2,092,049 6,276,148 3,138,074 1,569,037 4,707,112 2,353,556 1,176,778 588,389 1,765,168 882,584 441,292 220,646 110,323 330,970 165,485 496,456 248,228 124,114 62,057 186,172 93,086 46,543 139,630 69,815 209,446 104,723 314,170 157,085 471,256 235,628 117,814 58,907 176,722 88,361 265,084 132,542 66,271 198,814 99,407 298,222 149,111 447,334 223,667 671,002 335,501 1,006,504 503,252 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386

More profiles

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