λ
Sigma Notebook

1,745,624

23 × 113 × 1931
Deficient Even Composite

1,745,624 is even and not a perfect square. Its factorization is 2^3 × 113 × 1931 and its 16 divisors sum to 3,303,720.

Prime Factor Structure

Factorization String 2^3 × 113 × 1931
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,303,720
Proper Divisor Sum 1,558,096
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1745621 ← → #1745629

Radix Representation

Decimal 1745624
Binary 110101010001011011000 (21 bits)
Octal 0o6521330
Hexadecimal 0x1AA2D8

Divisor Catalog (16)

1 2 4 8 113 226 452 904 1,931 3,862 7,724 15,448 218,203 436,406 872,812 1,745,624

Collatz Trajectory (158 steps to reach 1)

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

1,745,624 872,812 436,406 218,203 654,610 327,305 981,916 490,958 245,479 736,438 368,219 1,104,658 552,329 1,656,988 828,494 414,247 1,242,742 621,371 1,864,114 932,057 2,796,172 1,398,086 699,043 2,097,130 1,048,565 3,145,696 1,572,848 786,424 393,212 196,606 98,303 294,910 147,455 442,366 221,183 663,550 331,775 995,326 497,663 1,492,990 746,495 2,239,486 1,119,743 3,359,230 1,679,615 5,038,846 2,519,423 7,558,270 3,779,135 11,337,406 5,668,703 17,006,110 8,503,055 25,509,166 12,754,583 38,263,750 19,131,875 57,395,626 28,697,813 86,093,440

More profiles

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