734,435

5 × 13 × 11299

734,435 factors as 5 × 13 × 11299. Its 8 positive divisors give a proper-divisor sum of 214,765, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 13 × 11299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 949,200

Proper Divisor Sum 214,765

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #734431 ← → #734443

Radix Representation

Decimal	734435
Binary	10110011010011100011 (20 bits)
Octal	0o2632343
Hexadecimal	0xB34E3

Divisor Catalog (8)

1 5 13 65 11,299 56,495 146,887 734,435

Collatz Trajectory (118 steps to reach 1)

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

734,435 2,203,306 1,101,653 3,304,960 1,652,480 826,240 413,120 206,560 103,280 51,640 25,820 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962

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