470,438

2 × 29 × 8111

470,438 factors as 2 × 29 × 8111. Its 8 positive divisors give a proper-divisor sum of 259,642, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2 × 29 × 8111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 730,080

Proper Divisor Sum 259,642

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #470429 ← → #470443

Radix Representation

Decimal	470438
Binary	1110010110110100110 (19 bits)
Octal	0o1626646
Hexadecimal	0x72DA6

Divisor Catalog (8)

1 2 29 58 8,111 16,222 235,219 470,438

Collatz Trajectory (151 steps to reach 1)

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

470,438 235,219 705,658 352,829 1,058,488 529,244 264,622 132,311 396,934 198,467 595,402 297,701 893,104 446,552 223,276 111,638 55,819 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432

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