7,471,620

2² × 3² × 5 × 13 × 31 × 103

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 31 × 103

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 25,439,232

Proper Divisor Sum 17,967,612

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7471603 ← → #7471621

Radix Representation

Decimal	7471620
Binary	11100100000001000000100 (23 bits)
Octal	0o34401004
Hexadecimal	0x720204

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 103 117 124 130 155 156 180 186 195 206 234 260 279 309 310 372 390 403 412 465 468 515 558 585 618 620 780 806 927 930 1,030 1,116 1,170 1,209

Collatz Trajectory (98 steps to reach 1)

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

7,471,620 3,735,810 1,867,905 5,603,716 2,801,858 1,400,929 4,202,788 2,101,394 1,050,697 3,152,092 1,576,046 788,023 2,364,070 1,182,035 3,546,106 1,773,053 5,319,160 2,659,580 1,329,790 664,895 1,994,686 997,343 2,992,030 1,496,015 4,488,046 2,244,023 6,732,070 3,366,035 10,098,106 5,049,053 15,147,160 7,573,580 3,786,790 1,893,395 5,680,186 2,840,093 8,520,280 4,260,140 2,130,070 1,065,035 3,195,106 1,597,553 4,792,660 2,396,330 1,198,165 3,594,496 1,797,248 898,624 449,312 224,656 112,328 56,164 28,082 14,041 42,124 21,062 10,531 31,594 15,797 47,392

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