3,924,747

3³ × 145361

3,924,747 factors as 3^3 × 145361. Its 8 positive divisors give a proper-divisor sum of 1,889,733, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3^3 × 145361

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,814,480

Proper Divisor Sum 1,889,733

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3924731 ← → #3924757

Radix Representation

Decimal	3924747
Binary	1110111110001100001011 (22 bits)
Octal	0o16761413
Hexadecimal	0x3BE30B

Divisor Catalog (8)

1 3 9 27 145,361 436,083 1,308,249 3,924,747

Collatz Trajectory (92 steps to reach 1)

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

3,924,747 11,774,242 5,887,121 17,661,364 8,830,682 4,415,341 13,246,024 6,623,012 3,311,506 1,655,753 4,967,260 2,483,630 1,241,815 3,725,446 1,862,723 5,588,170 2,794,085 8,382,256 4,191,128 2,095,564 1,047,782 523,891 1,571,674 785,837 2,357,512 1,178,756 589,378 294,689 884,068 442,034 221,017 663,052 331,526 165,763 497,290 248,645 745,936 372,968 186,484 93,242 46,621 139,864 69,932 34,966 17,483 52,450 26,225 78,676 39,338 19,669 59,008 29,504 14,752 7,376 3,688 1,844 922 461 1,384 692

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