6,807,292

2² × 47 × 36209

6,807,292 factors as 2^2 × 47 × 36209. Its 12 positive divisors give a proper-divisor sum of 5,359,268, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 47 × 36209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,166,560

Proper Divisor Sum 5,359,268

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6807277 ← → #6807313

Radix Representation

Decimal	6807292
Binary	11001111101111011111100 (23 bits)
Octal	0o31757374
Hexadecimal	0x67DEFC

Divisor Catalog (12)

1 2 4 47 94 188 36,209 72,418 144,836 1,701,823 3,403,646 6,807,292

Collatz Trajectory (253 steps to reach 1)

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

6,807,292 3,403,646 1,701,823 5,105,470 2,552,735 7,658,206 3,829,103 11,487,310 5,743,655 17,230,966 8,615,483 25,846,450 12,923,225 38,769,676 19,384,838 9,692,419 29,077,258 14,538,629 43,615,888 21,807,944 10,903,972 5,451,986 2,725,993 8,177,980 4,088,990 2,044,495 6,133,486 3,066,743 9,200,230 4,600,115 13,800,346 6,900,173 20,700,520 10,350,260 5,175,130 2,587,565 7,762,696 3,881,348 1,940,674 970,337 2,911,012 1,455,506 727,753 2,183,260 1,091,630 545,815 1,637,446 818,723 2,456,170 1,228,085 3,684,256 1,842,128 921,064 460,532 230,266 115,133 345,400 172,700 86,350 43,175

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