λ
Prime Ledger

7,521,328

24 × 470083
Deficient Even Composite

7,521,328 has the prime decomposition 2^4 × 470083. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 470083
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 14,572,604
Proper Divisor Sum 7,051,276
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7521317 ← → #7521329

Radix Representation

Decimal 7521328
Binary 11100101100010000110000 (23 bits)
Octal 0o34542060
Hexadecimal 0x72C430

Divisor Catalog (10)

1 2 4 8 16 470,083 940,166 1,880,332 3,760,664 7,521,328

Collatz Trajectory (173 steps to reach 1)

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

7,521,328 3,760,664 1,880,332 940,166 470,083 1,410,250 705,125 2,115,376 1,057,688 528,844 264,422 132,211 396,634 198,317 594,952 297,476 148,738 74,369 223,108 111,554 55,777 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221

More profiles

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