λ
Prime Ledger

2,725,448

23 × 11 × 30971
Abundant Even Composite

2,725,448 has the prime decomposition 2^3 × 11 × 30971. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 30971
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,574,960
Proper Divisor Sum 2,849,512
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2725439 ← → #2725451

Radix Representation

Decimal 2725448
Binary 1010011001011001001000 (22 bits)
Octal 0o12313110
Hexadecimal 0x299648

Divisor Catalog (16)

1 2 4 8 11 22 44 88 30,971 61,942 123,884 247,768 340,681 681,362 1,362,724 2,725,448

Collatz Trajectory (156 steps to reach 1)

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

2,725,448 1,362,724 681,362 340,681 1,022,044 511,022 255,511 766,534 383,267 1,149,802 574,901 1,724,704 862,352 431,176 215,588 107,794 53,897 161,692 80,846 40,423 121,270 60,635 181,906 90,953 272,860 136,430 68,215 204,646 102,323 306,970 153,485 460,456 230,228 115,114 57,557 172,672 86,336 43,168 21,584 10,792 5,396 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485

More profiles

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