2,736,393

3 × 11 × 101 × 821

2,736,393 factors as 3 × 11 × 101 × 821. Its 16 positive divisors give a proper-divisor sum of 1,288,119, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 11 × 101 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,024,512

Proper Divisor Sum 1,288,119

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2736367 ← → #2736397

Radix Representation

Decimal	2736393
Binary	1010011100000100001001 (22 bits)
Octal	0o12340411
Hexadecimal	0x29C109

Divisor Catalog (16)

1 3 11 33 101 303 821 1,111 2,463 3,333 9,031 27,093 82,921 248,763 912,131 2,736,393

Collatz Trajectory (107 steps to reach 1)

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

2,736,393 8,209,180 4,104,590 2,052,295 6,156,886 3,078,443 9,235,330 4,617,665 13,852,996 6,926,498 3,463,249 10,389,748 5,194,874 2,597,437 7,792,312 3,896,156 1,948,078 974,039 2,922,118 1,461,059 4,383,178 2,191,589 6,574,768 3,287,384 1,643,692 821,846 410,923 1,232,770 616,385 1,849,156 924,578 462,289 1,386,868 693,434 346,717 1,040,152 520,076 260,038 130,019 390,058 195,029 585,088 292,544 146,272 73,136 36,568 18,284 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360

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