λ
Sigma Notebook

3,623,945

5 × 13 × 127 × 439
Deficient Odd Composite

3,623,945 is odd and not a perfect square. Its factorization is 5 × 13 × 127 × 439 and its 16 divisors sum to 4,730,880.

Prime Factor Structure

Factorization String 5 × 13 × 127 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,730,880
Proper Divisor Sum 1,106,935
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3623933 ← → #3623947

Radix Representation

Decimal 3623945
Binary 1101110100110000001001 (22 bits)
Octal 0o15646011
Hexadecimal 0x374C09

Divisor Catalog (16)

1 5 13 65 127 439 635 1,651 2,195 5,707 8,255 28,535 55,753 278,765 724,789 3,623,945

Collatz Trajectory (115 steps to reach 1)

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

3,623,945 10,871,836 5,435,918 2,717,959 8,153,878 4,076,939 12,230,818 6,115,409 18,346,228 9,173,114 4,586,557 13,759,672 6,879,836 3,439,918 1,719,959 5,159,878 2,579,939 7,739,818 3,869,909 11,609,728 5,804,864 2,902,432 1,451,216 725,608 362,804 181,402 90,701 272,104 136,052 68,026 34,013 102,040 51,020 25,510 12,755 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833

More profiles

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