8,200,745

5 × 7 × 43 × 5449

8,200,745 factors as 5 × 7 × 43 × 5449. Its 16 positive divisors give a proper-divisor sum of 3,309,655, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 5 × 7 × 43 × 5449

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,510,400

Proper Divisor Sum 3,309,655

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8200741 ← → #8200769

Radix Representation

Decimal	8200745
Binary	11111010010001000101001 (23 bits)
Octal	0o37221051
Hexadecimal	0x7D2229

Divisor Catalog (16)

1 5 7 35 43 215 301 1,505 5,449 27,245 38,143 190,715 234,307 1,171,535 1,640,149 8,200,745

Collatz Trajectory (261 steps to reach 1)

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

8,200,745 24,602,236 12,301,118 6,150,559 18,451,678 9,225,839 27,677,518 13,838,759 41,516,278 20,758,139 62,274,418 31,137,209 93,411,628 46,705,814 23,352,907 70,058,722 35,029,361 105,088,084 52,544,042 26,272,021 78,816,064 39,408,032 19,704,016 9,852,008 4,926,004 2,463,002 1,231,501 3,694,504 1,847,252 923,626 461,813 1,385,440 692,720 346,360 173,180 86,590 43,295 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646 30,823 92,470 46,235 138,706 69,353 208,060 104,030 52,015

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