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10,103,424

27 × 3 × 83 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 83 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,246,240
Proper Divisor Sum 17,142,816
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #10103413 ← → #10103437

Radix Representation

Decimal 10103424
Binary 100110100010101010000000 (24 bits)
Octal 0o46425200
Hexadecimal 0x9A2A80

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 317 332 384 498 634 664 951 996 1,268 1,328 1,902 1,992 2,536 2,656 3,804 3,984 5,072 5,312 7,608 7,968 10,144 10,624 15,216 15,936 20,288 26,311 30,432 31,872 40,576 52,622 60,864 78,933 105,244 121,728 157,866 210,488 315,732 420,976 631,464 841,952 1,262,928 1,683,904

Collatz Trajectory (145 steps to reach 1)

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

10,103,424 5,051,712 2,525,856 1,262,928 631,464 315,732 157,866 78,933 236,800 118,400 59,200 29,600 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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