λ
Prime Ledger

3,142,240

25 × 5 × 41 × 479
Abundant Even Composite

3,142,240 has the prime decomposition 2^5 × 5 × 41 × 479. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 41 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,620,480
Proper Divisor Sum 4,478,240
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3142231 ← → #3142259

Radix Representation

Decimal 3142240
Binary 1011111111001001100000 (22 bits)
Octal 0o13771140
Hexadecimal 0x2FF260

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 479 656 820 958 1,312 1,640 1,916 2,395 3,280 3,832 4,790 6,560 7,664 9,580 15,328 19,160 19,639 38,320 39,278 76,640 78,556 98,195 157,112 196,390 314,224 392,780 628,448 785,560 1,571,120 3,142,240

Collatz Trajectory (133 steps to reach 1)

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

3,142,240 1,571,120 785,560 392,780 196,390 98,195 294,586 147,293 441,880 220,940 110,470 55,235 165,706 82,853 248,560 124,280 62,140 31,070 15,535 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121 66,364 33,182 16,591 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578 13,289 39,868 19,934

More profiles

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