λ
Sigma Notebook

9,724,450

2 × 52 × 43 × 4523
Deficient Even Composite

9,724,450 is even and not a perfect square. Its factorization is 2 × 5^2 × 43 × 4523 and its 24 divisors sum to 18,512,208.

Prime Factor Structure

Factorization String 2 × 5^2 × 43 × 4523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,512,208
Proper Divisor Sum 8,787,758
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9724433 ← → #9724457

Radix Representation

Decimal 9724450
Binary 100101000110001000100010 (24 bits)
Octal 0o45061042
Hexadecimal 0x946222

Divisor Catalog (24)

1 2 5 10 25 43 50 86 215 430 1,075 2,150 4,523 9,046 22,615 45,230 113,075 194,489 226,150 388,978 972,445 1,944,890 4,862,225 9,724,450

Collatz Trajectory (114 steps to reach 1)

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

9,724,450 4,862,225 14,586,676 7,293,338 3,646,669 10,940,008 5,470,004 2,735,002 1,367,501 4,102,504 2,051,252 1,025,626 512,813 1,538,440 769,220 384,610 192,305 576,916 288,458 144,229 432,688 216,344 108,172 54,086 27,043 81,130 40,565 121,696 60,848 30,424 15,212 7,606 3,803 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

More profiles

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