λ
Modular Archive

784,465

5 × 11 × 17 × 839
Deficient Odd Composite

The decimal integer 784,465 is 10111111100001010001 in binary (20 bits), 2774121 in octal and BF851 in hexadecimal. Its digit sum is 34.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,088,640
Proper Divisor Sum 304,175
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #784463 ← → #784471

Radix Representation

Decimal 784465
Binary 10111111100001010001 (20 bits)
Octal 0o2774121
Hexadecimal 0xBF851

Divisor Catalog (16)

1 5 11 17 55 85 187 839 935 4,195 9,229 14,263 46,145 71,315 156,893 784,465

Collatz Trajectory (162 steps to reach 1)

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

784,465 2,353,396 1,176,698 588,349 1,765,048 882,524 441,262 220,631 661,894 330,947 992,842 496,421 1,489,264 744,632 372,316 186,158 93,079 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142

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