27,820,361

31 × 337 × 2663

27,820,361 factors as 31 × 337 × 2663. Its 8 positive divisors give a proper-divisor sum of 993,463, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 31 × 337 × 2663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 28,813,824

Proper Divisor Sum 993,463

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #27820357 ← → #27820369

Radix Representation

Decimal	27820361
Binary	1101010001000000101001001 (25 bits)
Octal	0o152100511
Hexadecimal	0x1A88149

Divisor Catalog (8)

1 31 337 2,663 10,447 82,553 897,431 27,820,361

Collatz Trajectory (193 steps to reach 1)

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

27,820,361 83,461,084 41,730,542 20,865,271 62,595,814 31,297,907 93,893,722 46,946,861 140,840,584 70,420,292 35,210,146 17,605,073 52,815,220 26,407,610 13,203,805 39,611,416 19,805,708 9,902,854 4,951,427 14,854,282 7,427,141 22,281,424 11,140,712 5,570,356 2,785,178 1,392,589 4,177,768 2,088,884 1,044,442 522,221 1,566,664 783,332 391,666 195,833 587,500 293,750 146,875 440,626 220,313 660,940 330,470 165,235 495,706 247,853 743,560 371,780 185,890 92,945 278,836 139,418 69,709 209,128 104,564 52,282 26,141 78,424 39,212 19,606 9,803 29,410

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