7,821,171

3³ × 37 × 7829

7,821,171 factors as 3^3 × 37 × 7829. Its 16 positive divisors give a proper-divisor sum of 4,080,429, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3^3 × 37 × 7829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,901,600

Proper Divisor Sum 4,080,429

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7821169 ← → #7821181

Radix Representation

Decimal	7821171
Binary	11101110101011101110011 (23 bits)
Octal	0o35653563
Hexadecimal	0x775773

Divisor Catalog (16)

1 3 9 27 37 111 333 999 7,829 23,487 70,461 211,383 289,673 869,019 2,607,057 7,821,171

Collatz Trajectory (186 steps to reach 1)

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

7,821,171 23,463,514 11,731,757 35,195,272 17,597,636 8,798,818 4,399,409 13,198,228 6,599,114 3,299,557 9,898,672 4,949,336 2,474,668 1,237,334 618,667 1,856,002 928,001 2,784,004 1,392,002 696,001 2,088,004 1,044,002 522,001 1,566,004 783,002 391,501 1,174,504 587,252 293,626 146,813 440,440 220,220 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379

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