736,505

5 × 7 × 11 × 1913

736,505 factors as 5 × 7 × 11 × 1913. Its 16 positive divisors give a proper-divisor sum of 365,959, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 1913

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,102,464

Proper Divisor Sum 365,959

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #736471 ← → #736511

Radix Representation

Decimal	736505
Binary	10110011110011111001 (20 bits)
Octal	0o2636371
Hexadecimal	0xB3CF9

Divisor Catalog (16)

1 5 7 11 35 55 77 385 1,913 9,565 13,391 21,043 66,955 105,215 147,301 736,505

Collatz Trajectory (74 steps to reach 1)

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

736,505 2,209,516 1,104,758 552,379 1,657,138 828,569 2,485,708 1,242,854 621,427 1,864,282 932,141 2,796,424 1,398,212 699,106 349,553 1,048,660 524,330 262,165 786,496 393,248 196,624 98,312 49,156 24,578 12,289 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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