λ
Modular Archive

9,801,405

36 × 5 × 2689
Deficient Odd Composite

The decimal integer 9,801,405 is 100101011000111010111101 in binary (24 bits), 45307275 in octal and 958EBD in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^6 × 5 × 2689
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 17,641,020
Proper Divisor Sum 7,839,615
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9801383 ← → #9801413

Radix Representation

Decimal 9801405
Binary 100101011000111010111101 (24 bits)
Octal 0o45307275
Hexadecimal 0x958EBD

Divisor Catalog (28)

1 3 5 9 15 27 45 81 135 243 405 729 1,215 2,689 3,645 8,067 13,445 24,201 40,335 72,603 121,005 217,809 363,015 653,427 1,089,045 1,960,281 3,267,135 9,801,405

Collatz Trajectory (176 steps to reach 1)

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

9,801,405 29,404,216 14,702,108 7,351,054 3,675,527 11,026,582 5,513,291 16,539,874 8,269,937 24,809,812 12,404,906 6,202,453 18,607,360 9,303,680 4,651,840 2,325,920 1,162,960 581,480 290,740 145,370 72,685 218,056 109,028 54,514 27,257 81,772 40,886 20,443 61,330 30,665 91,996 45,998 22,999 68,998 34,499 103,498 51,749 155,248 77,624 38,812 19,406 9,703 29,110 14,555 43,666 21,833 65,500 32,750 16,375 49,126 24,563 73,690 36,845 110,536 55,268 27,634 13,817 41,452 20,726 10,363

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