λ
Sigma Notebook

2,428,717

37 × 41 × 1601
Deficient Odd Composite

2,428,717 is odd and not a perfect square. Its factorization is 37 × 41 × 1601 and its 8 divisors sum to 2,556,792.

Prime Factor Structure

Factorization String 37 × 41 × 1601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,556,792
Proper Divisor Sum 128,075
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2428711 ← → #2428729

Radix Representation

Decimal 2428717
Binary 1001010000111100101101 (22 bits)
Octal 0o11207455
Hexadecimal 0x250F2D

Divisor Catalog (8)

1 37 41 1,517 1,601 59,237 65,641 2,428,717

Collatz Trajectory (86 steps to reach 1)

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

2,428,717 7,286,152 3,643,076 1,821,538 910,769 2,732,308 1,366,154 683,077 2,049,232 1,024,616 512,308 256,154 128,077 384,232 192,116 96,058 48,029 144,088 72,044 36,022 18,011 54,034 27,017 81,052 40,526 20,263 60,790 30,395 91,186 45,593 136,780 68,390 34,195 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572

More profiles

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