7,703,424

2⁷ × 3⁴ × 743

7,703,424 has the prime decomposition 2^7 × 3^4 × 743. Its 3 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^4 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 22,956,120

Proper Divisor Sum 15,252,696

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7703419 ← → #7703447

Radix Representation

Decimal	7703424
Binary	11101011000101110000000 (23 bits)
Octal	0o35305600
Hexadecimal	0x758B80

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 743 864 1,152 1,296 1,486 1,728 2,229 2,592 2,972 3,456 4,458 5,184 5,944 6,687 8,916 10,368 11,888 13,374 17,832 20,061 23,776 26,748 35,664 40,122 47,552 53,496 60,183 71,328

Collatz Trajectory (54 steps to reach 1)

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

7,703,424 3,851,712 1,925,856 962,928 481,464 240,732 120,366 60,183 180,550 90,275 270,826 135,413 406,240 203,120 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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