λ
Prime Ledger

2,160,105

3 × 5 × 17 × 43 × 197
Deficient Odd Composite

2,160,105 has the prime decomposition 3 × 5 × 17 × 43 × 197. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 43 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,763,584
Proper Divisor Sum 1,603,479
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2160101 ← → #2160113

Radix Representation

Decimal 2160105
Binary 1000001111010111101001 (22 bits)
Octal 0o10172751
Hexadecimal 0x20F5E9

Divisor Catalog (32)

1 3 5 15 17 43 51 85 129 197 215 255 591 645 731 985 2,193 2,955 3,349 3,655 8,471 10,047 10,965 16,745 25,413 42,355 50,235 127,065 144,007 432,021 720,035 2,160,105

Collatz Trajectory (202 steps to reach 1)

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

2,160,105 6,480,316 3,240,158 1,620,079 4,860,238 2,430,119 7,290,358 3,645,179 10,935,538 5,467,769 16,403,308 8,201,654 4,100,827 12,302,482 6,151,241 18,453,724 9,226,862 4,613,431 13,840,294 6,920,147 20,760,442 10,380,221 31,140,664 15,570,332 7,785,166 3,892,583 11,677,750 5,838,875 17,516,626 8,758,313 26,274,940 13,137,470 6,568,735 19,706,206 9,853,103 29,559,310 14,779,655 44,338,966 22,169,483 66,508,450 33,254,225 99,762,676 49,881,338 24,940,669 74,822,008 37,411,004 18,705,502 9,352,751 28,058,254 14,029,127 42,087,382 21,043,691 63,131,074 31,565,537 94,696,612 47,348,306 23,674,153 71,022,460 35,511,230 17,755,615

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