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Atlas › Integer Profiles › Node 4,444,965

4,444,965

32 × 5 × 7 × 103 × 137
Abundant Odd Composite

4,444,965 factors as 3^2 × 5 × 7 × 103 × 137. Its 48 positive divisors give a proper-divisor sum of 4,510,683, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 103 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,955,648
Proper Divisor Sum 4,510,683
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4444949 ← → #4444967

Radix Representation

Decimal 4444965
Binary 10000111101001100100101 (23 bits)
Octal 0o20751445
Hexadecimal 0x43D325

Divisor Catalog (48)

1 3 5 7 9 15 21 35 45 63 103 105 137 309 315 411 515 685 721 927 959 1,233 1,545 2,055 2,163 2,877 3,605 4,635 4,795 6,165 6,489 8,631 10,815 14,111 14,385 32,445 42,333 43,155 70,555 98,777 126,999 211,665 296,331 493,885 634,995 888,993 1,481,655 4,444,965

Collatz Trajectory (118 steps to reach 1)

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

4,444,965 13,334,896 6,667,448 3,333,724 1,666,862 833,431 2,500,294 1,250,147 3,750,442 1,875,221 5,625,664 2,812,832 1,406,416 703,208 351,604 175,802 87,901 263,704 131,852 65,926 32,963 98,890 49,445 148,336 74,168 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702

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