470,588

2² × 71 × 1657

470,588 factors as 2^2 × 71 × 1657. Its 12 positive divisors give a proper-divisor sum of 365,044, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 71 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 835,632

Proper Divisor Sum 365,044

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #470579 ← → #470593

Radix Representation

Decimal	470588
Binary	1110010111000111100 (19 bits)
Octal	0o1627074
Hexadecimal	0x72E3C

Divisor Catalog (12)

1 2 4 71 142 284 1,657 3,314 6,628 117,647 235,294 470,588

Collatz Trajectory (125 steps to reach 1)

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

470,588 235,294 117,647 352,942 176,471 529,414 264,707 794,122 397,061 1,191,184 595,592 297,796 148,898 74,449 223,348 111,674 55,837 167,512 83,756 41,878 20,939 62,818 31,409 94,228 47,114 23,557 70,672 35,336 17,668 8,834 4,417 13,252 6,626 3,313 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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