λ
Prime Ledger

2,999,592

23 × 35 × 1543
Abundant Even Composite

2,999,592 has the prime decomposition 2^3 × 3^5 × 1543. Its 3 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 1543
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,430,240
Proper Divisor Sum 5,430,648
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #2999569 ← → #2999597

Radix Representation

Decimal 2999592
Binary 1011011100010100101000 (22 bits)
Octal 0o13342450
Hexadecimal 0x2DC528

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,543 1,944 3,086 4,629 6,172 9,258 12,344 13,887 18,516 27,774 37,032 41,661 55,548 83,322 111,096 124,983 166,644 249,966 333,288 374,949 499,932 749,898 999,864 1,499,796 2,999,592

Collatz Trajectory (182 steps to reach 1)

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

2,999,592 1,499,796 749,898 374,949 1,124,848 562,424 281,212 140,606 70,303 210,910 105,455 316,366 158,183 474,550 237,275 711,826 355,913 1,067,740 533,870 266,935 800,806 400,403 1,201,210 600,605 1,801,816 900,908 450,454 225,227 675,682 337,841 1,013,524 506,762 253,381 760,144 380,072 190,036 95,018 47,509 142,528 71,264 35,632 17,816 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530

More profiles

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