λ
Integer Codex

8,294,207

2459 × 3373
Deficient Odd Composite

For 8,294,207, the 4 positive divisors have a total of 8,300,040. Removing 8,294,207 leaves 5,833, which gives the deficient classification.

Prime Factor Structure

Factorization String 2459 × 3373
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,300,040
Proper Divisor Sum 5,833
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8294201 ← → #8294213

Radix Representation

Decimal 8294207
Binary 11111101000111100111111 (23 bits)
Octal 0o37507477
Hexadecimal 0x7E8F3F

Divisor Catalog (4)

1 2,459 3,373 8,294,207

Collatz Trajectory (160 steps to reach 1)

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

8,294,207 24,882,622 12,441,311 37,323,934 18,661,967 55,985,902 27,992,951 83,978,854 41,989,427 125,968,282 62,984,141 188,952,424 94,476,212 47,238,106 23,619,053 70,857,160 35,428,580 17,714,290 8,857,145 26,571,436 13,285,718 6,642,859 19,928,578 9,964,289 29,892,868 14,946,434 7,473,217 22,419,652 11,209,826 5,604,913 16,814,740 8,407,370 4,203,685 12,611,056 6,305,528 3,152,764 1,576,382 788,191 2,364,574 1,182,287 3,546,862 1,773,431 5,320,294 2,660,147 7,980,442 3,990,221 11,970,664 5,985,332 2,992,666 1,496,333 4,489,000 2,244,500 1,122,250 561,125 1,683,376 841,688 420,844 210,422 105,211 315,634

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