3,946,607

7² × 239 × 337

For 3,946,607, the 12 positive divisors have a total of 4,623,840. Removing 3,946,607 leaves 677,233, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 239 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,623,840

Proper Divisor Sum 677,233

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3946597 ← → #3946643

Radix Representation

Decimal	3946607
Binary	1111000011100001101111 (22 bits)
Octal	0o17034157
Hexadecimal	0x3C386F

Divisor Catalog (12)

1 7 49 239 337 1,673 2,359 11,711 16,513 80,543 563,801 3,946,607

Collatz Trajectory (172 steps to reach 1)

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

3,946,607 11,839,822 5,919,911 17,759,734 8,879,867 26,639,602 13,319,801 39,959,404 19,979,702 9,989,851 29,969,554 14,984,777 44,954,332 22,477,166 11,238,583 33,715,750 16,857,875 50,573,626 25,286,813 75,860,440 37,930,220 18,965,110 9,482,555 28,447,666 14,223,833 42,671,500 21,335,750 10,667,875 32,003,626 16,001,813 48,005,440 24,002,720 12,001,360 6,000,680 3,000,340 1,500,170 750,085 2,250,256 1,125,128 562,564 281,282 140,641 421,924 210,962 105,481 316,444 158,222 79,111 237,334 118,667 356,002 178,001 534,004 267,002 133,501 400,504 200,252 100,126 50,063 150,190

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