λ
Prime Ledger

2,049,475

52 × 73 × 1123
Deficient Odd Composite

2,049,475 has the prime decomposition 5^2 × 73 × 1123. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 73 × 1123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,578,456
Proper Divisor Sum 528,981
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2049451 ← → #2049491

Radix Representation

Decimal 2049475
Binary 111110100010111000011 (21 bits)
Octal 0o7642703
Hexadecimal 0x1F45C3

Divisor Catalog (12)

1 5 25 73 365 1,123 1,825 5,615 28,075 81,979 409,895 2,049,475

Collatz Trajectory (197 steps to reach 1)

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

2,049,475 6,148,426 3,074,213 9,222,640 4,611,320 2,305,660 1,152,830 576,415 1,729,246 864,623 2,593,870 1,296,935 3,890,806 1,945,403 5,836,210 2,918,105 8,754,316 4,377,158 2,188,579 6,565,738 3,282,869 9,848,608 4,924,304 2,462,152 1,231,076 615,538 307,769 923,308 461,654 230,827 692,482 346,241 1,038,724 519,362 259,681 779,044 389,522 194,761 584,284 292,142 146,071 438,214 219,107 657,322 328,661 985,984 492,992 246,496 123,248 61,624 30,812 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000

More profiles

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