λ
Sigma Notebook

1,285,335

33 × 5 × 9521
Deficient Odd Composite

1,285,335 is odd and not a perfect square. Its factorization is 3^3 × 5 × 9521 and its 16 divisors sum to 2,285,280.

Prime Factor Structure

Factorization String 3^3 × 5 × 9521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,285,280
Proper Divisor Sum 999,945
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1285301 ← → #1285351

Radix Representation

Decimal 1285335
Binary 100111001110011010111 (21 bits)
Octal 0o4716327
Hexadecimal 0x139CD7

Divisor Catalog (16)

1 3 5 9 15 27 45 135 9,521 28,563 47,605 85,689 142,815 257,067 428,445 1,285,335

Collatz Trajectory (98 steps to reach 1)

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

1,285,335 3,856,006 1,928,003 5,784,010 2,892,005 8,676,016 4,338,008 2,169,004 1,084,502 542,251 1,626,754 813,377 2,440,132 1,220,066 610,033 1,830,100 915,050 457,525 1,372,576 686,288 343,144 171,572 85,786 42,893 128,680 64,340 32,170 16,085 48,256 24,128 12,064 6,032 3,016 1,508 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

More profiles

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