729,358

2 × 7 × 59 × 883

729,358 has digital root 7. The neighboring primes are 729331 and 729359; its proper-divisor sum differs from the starting integer by -185,756.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,272,960

Proper Divisor Sum 543,602

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #729331 ← → #729359

Radix Representation

Decimal	729358
Binary	10110010000100001110 (20 bits)
Octal	0o2620416
Hexadecimal	0xB210E

Divisor Catalog (16)

1 2 7 14 59 118 413 826 883 1,766 6,181 12,362 52,097 104,194 364,679 729,358

Collatz Trajectory (87 steps to reach 1)

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

729,358 364,679 1,094,038 547,019 1,641,058 820,529 2,461,588 1,230,794 615,397 1,846,192 923,096 461,548 230,774 115,387 346,162 173,081 519,244 259,622 129,811 389,434 194,717 584,152 292,076 146,038 73,019 219,058 109,529 328,588 164,294 82,147 246,442 123,221 369,664 184,832 92,416 46,208 23,104 11,552 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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