2,115,201

3 × 11² × 5827

2,115,201 factors as 3 × 11^2 × 5827. Its 12 positive divisors give a proper-divisor sum of 985,295, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 5827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,100,496

Proper Divisor Sum 985,295

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2115193 ← → #2115203

Radix Representation

Decimal	2115201
Binary	1000000100011010000001 (22 bits)
Octal	0o10043201
Hexadecimal	0x204681

Divisor Catalog (12)

1 3 11 33 121 363 5,827 17,481 64,097 192,291 705,067 2,115,201

Collatz Trajectory (179 steps to reach 1)

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

2,115,201 6,345,604 3,172,802 1,586,401 4,759,204 2,379,602 1,189,801 3,569,404 1,784,702 892,351 2,677,054 1,338,527 4,015,582 2,007,791 6,023,374 3,011,687 9,035,062 4,517,531 13,552,594 6,776,297 20,328,892 10,164,446 5,082,223 15,246,670 7,623,335 22,870,006 11,435,003 34,305,010 17,152,505 51,457,516 25,728,758 12,864,379 38,593,138 19,296,569 57,889,708 28,944,854 14,472,427 43,417,282 21,708,641 65,125,924 32,562,962 16,281,481 48,844,444 24,422,222 12,211,111 36,633,334 18,316,667 54,950,002 27,475,001 82,425,004 41,212,502 20,606,251 61,818,754 30,909,377 92,728,132 46,364,066 23,182,033 69,546,100 34,773,050 17,386,525

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