λ
Prime Ledger

2,762,604

22 × 32 × 13 × 5903
Abundant Even Composite

2,762,604 has the prime decomposition 2^2 × 3^2 × 13 × 5903. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 5903
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,521,696
Proper Divisor Sum 4,759,092
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2762593 ← → #2762647

Radix Representation

Decimal 2762604
Binary 1010100010011101101100 (22 bits)
Octal 0o12423554
Hexadecimal 0x2A276C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5,903 11,806 17,709 23,612 35,418 53,127 70,836 76,739 106,254 153,478 212,508 230,217 306,956 460,434 690,651 920,868 1,381,302 2,762,604

Collatz Trajectory (125 steps to reach 1)

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

2,762,604 1,381,302 690,651 2,071,954 1,035,977 3,107,932 1,553,966 776,983 2,330,950 1,165,475 3,496,426 1,748,213 5,244,640 2,622,320 1,311,160 655,580 327,790 163,895 491,686 245,843 737,530 368,765 1,106,296 553,148 276,574 138,287 414,862 207,431 622,294 311,147 933,442 466,721 1,400,164 700,082 350,041 1,050,124 525,062 262,531 787,594 393,797 1,181,392 590,696 295,348 147,674 73,837 221,512 110,756 55,378 27,689 83,068 41,534 20,767 62,302 31,151 93,454 46,727 140,182 70,091 210,274 105,137

More profiles

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