8,401,465

5 × 31 × 67 × 809

8,401,465 factors as 5 × 31 × 67 × 809. Its 16 positive divisors give a proper-divisor sum of 2,173,895, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 5 × 31 × 67 × 809

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,575,360

Proper Divisor Sum 2,173,895

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8401457 ← → #8401513

Radix Representation

Decimal	8401465
Binary	100000000011001000111001 (24 bits)
Octal	0o40031071
Hexadecimal	0x803239

Divisor Catalog (16)

1 5 31 67 155 335 809 2,077 4,045 10,385 25,079 54,203 125,395 271,015 1,680,293 8,401,465

Collatz Trajectory (243 steps to reach 1)

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

8,401,465 25,204,396 12,602,198 6,301,099 18,903,298 9,451,649 28,354,948 14,177,474 7,088,737 21,266,212 10,633,106 5,316,553 15,949,660 7,974,830 3,987,415 11,962,246 5,981,123 17,943,370 8,971,685 26,915,056 13,457,528 6,728,764 3,364,382 1,682,191 5,046,574 2,523,287 7,569,862 3,784,931 11,354,794 5,677,397 17,032,192 8,516,096 4,258,048 2,129,024 1,064,512 532,256 266,128 133,064 66,532 33,266 16,633 49,900 24,950 12,475 37,426 18,713 56,140 28,070 14,035 42,106 21,053 63,160 31,580 15,790 7,895 23,686 11,843 35,530 17,765 53,296

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