λ
Prime Ledger

2,018,045

5 × 173 × 2333
Deficient Odd Composite

2,018,045 has the prime decomposition 5 × 173 × 2333. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 173 × 2333
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,436,696
Proper Divisor Sum 418,651
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2018041 ← → #2018077

Radix Representation

Decimal 2018045
Binary 111101100101011111101 (21 bits)
Octal 0o7545375
Hexadecimal 0x1ECAFD

Divisor Catalog (8)

1 5 173 865 2,333 11,665 403,609 2,018,045

Collatz Trajectory (197 steps to reach 1)

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

2,018,045 6,054,136 3,027,068 1,513,534 756,767 2,270,302 1,135,151 3,405,454 1,702,727 5,108,182 2,554,091 7,662,274 3,831,137 11,493,412 5,746,706 2,873,353 8,620,060 4,310,030 2,155,015 6,465,046 3,232,523 9,697,570 4,848,785 14,546,356 7,273,178 3,636,589 10,909,768 5,454,884 2,727,442 1,363,721 4,091,164 2,045,582 1,022,791 3,068,374 1,534,187 4,602,562 2,301,281 6,903,844 3,451,922 1,725,961 5,177,884 2,588,942 1,294,471 3,883,414 1,941,707 5,825,122 2,912,561 8,737,684 4,368,842 2,184,421 6,553,264 3,276,632 1,638,316 819,158 409,579 1,228,738 614,369 1,843,108 921,554 460,777

More profiles

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