λ
Modular Archive

826,475

52 × 13 × 2543
Deficient Odd Composite

The decimal integer 826,475 is 11001001110001101011 in binary (20 bits), 3116153 in octal and C9C6B in hexadecimal. Its digit sum is 32.

Prime Factor Structure

Factorization String 5^2 × 13 × 2543
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,104,096
Proper Divisor Sum 277,621
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #826453 ← → #826477

Radix Representation

Decimal 826475
Binary 11001001110001101011 (20 bits)
Octal 0o3116153
Hexadecimal 0xC9C6B

Divisor Catalog (12)

1 5 13 25 65 325 2,543 12,715 33,059 63,575 165,295 826,475

Collatz Trajectory (144 steps to reach 1)

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

826,475 2,479,426 1,239,713 3,719,140 1,859,570 929,785 2,789,356 1,394,678 697,339 2,092,018 1,046,009 3,138,028 1,569,014 784,507 2,353,522 1,176,761 3,530,284 1,765,142 882,571 2,647,714 1,323,857 3,971,572 1,985,786 992,893 2,978,680 1,489,340 744,670 372,335 1,117,006 558,503 1,675,510 837,755 2,513,266 1,256,633 3,769,900 1,884,950 942,475 2,827,426 1,413,713 4,241,140 2,120,570 1,060,285 3,180,856 1,590,428 795,214 397,607 1,192,822 596,411 1,789,234 894,617 2,683,852 1,341,926 670,963 2,012,890 1,006,445 3,019,336 1,509,668 754,834 377,417 1,132,252

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