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Atlas › Integer Profiles › Node 3,312,980

3,312,980

22 × 5 × 112 × 372
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 11^2 × 37^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 7,859,502
Proper Divisor Sum 4,546,522
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3312941 ← → #3313003

Radix Representation

Decimal 3312980
Binary 1100101000110101010100 (22 bits)
Octal 0o14506524
Hexadecimal 0x328D54

Divisor Catalog (54)

1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1,210 1,369 1,628 2,035 2,420 2,738 4,070 4,477 5,476 6,845 8,140 8,954 13,690 15,059 17,908 22,385 27,380 30,118 44,770 60,236 75,295 89,540 150,590 165,649 301,180 331,298 662,596 828,245 1,656,490 3,312,980

Collatz Trajectory (58 steps to reach 1)

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

3,312,980 1,656,490 828,245 2,484,736 1,242,368 621,184 310,592 155,296 77,648 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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