λ
Integer Codex

4,497,170

2 × 5 × 31 × 89 × 163
Deficient Even Composite

For 4,497,170, the 32 positive divisors have a total of 8,501,760. Removing 4,497,170 leaves 4,004,590, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 31 × 89 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,501,760
Proper Divisor Sum 4,004,590
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4497169 ← → #4497173

Radix Representation

Decimal 4497170
Binary 10001001001111100010010 (23 bits)
Octal 0o21117422
Hexadecimal 0x449F12

Divisor Catalog (32)

1 2 5 10 31 62 89 155 163 178 310 326 445 815 890 1,630 2,759 5,053 5,518 10,106 13,795 14,507 25,265 27,590 29,014 50,530 72,535 145,070 449,717 899,434 2,248,585 4,497,170

Collatz Trajectory (136 steps to reach 1)

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

4,497,170 2,248,585 6,745,756 3,372,878 1,686,439 5,059,318 2,529,659 7,588,978 3,794,489 11,383,468 5,691,734 2,845,867 8,537,602 4,268,801 12,806,404 6,403,202 3,201,601 9,604,804 4,802,402 2,401,201 7,203,604 3,601,802 1,800,901 5,402,704 2,701,352 1,350,676 675,338 337,669 1,013,008 506,504 253,252 126,626 63,313 189,940 94,970 47,485 142,456 71,228 35,614 17,807 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585 4,756

More profiles

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