745,521

3 × 7 × 131 × 271

745,521 has digital root 6. The neighboring primes are 745517 and 745529; its proper-divisor sum differs from the starting integer by -342,114.

Prime Factor Structure

Factorization String 3 × 7 × 131 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,148,928

Proper Divisor Sum 403,407

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #745517 ← → #745529

Radix Representation

Decimal	745521
Binary	10110110000000110001 (20 bits)
Octal	0o2660061
Hexadecimal	0xB6031

Divisor Catalog (16)

1 3 7 21 131 271 393 813 917 1,897 2,751 5,691 35,501 106,503 248,507 745,521

Collatz Trajectory (61 steps to reach 1)

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

745,521 2,236,564 1,118,282 559,141 1,677,424 838,712 419,356 209,678 104,839 314,518 157,259 471,778 235,889 707,668 353,834 176,917 530,752 265,376 132,688 66,344 33,172 16,586 8,293 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4

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