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Atlas › Integer Profiles › Node 4,501,005

4,501,005

3 × 5 × 17 × 19 × 929
Deficient Odd Composite

4,501,005 factors as 3 × 5 × 17 × 19 × 929. Its 32 positive divisors give a proper-divisor sum of 3,534,195, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 19 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,035,200
Proper Divisor Sum 3,534,195
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4501001 ← → #4501009

Radix Representation

Decimal 4501005
Binary 10001001010111000001101 (23 bits)
Octal 0o21127015
Hexadecimal 0x44AE0D

Divisor Catalog (32)

1 3 5 15 17 19 51 57 85 95 255 285 323 929 969 1,615 2,787 4,645 4,845 13,935 15,793 17,651 47,379 52,953 78,965 88,255 236,895 264,765 300,067 900,201 1,500,335 4,501,005

Collatz Trajectory (136 steps to reach 1)

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

4,501,005 13,503,016 6,751,508 3,375,754 1,687,877 5,063,632 2,531,816 1,265,908 632,954 316,477 949,432 474,716 237,358 118,679 356,038 178,019 534,058 267,029 801,088 400,544 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769

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