713,915

5 × 17 × 37 × 227

713,915 factors as 5 × 17 × 37 × 227. Its 16 positive divisors give a proper-divisor sum of 221,797, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 17 × 37 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 935,712

Proper Divisor Sum 221,797

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #713903 ← → #713917

Radix Representation

Decimal	713915
Binary	10101110010010111011 (20 bits)
Octal	0o2562273
Hexadecimal	0xAE4BB

Divisor Catalog (16)

1 5 17 37 85 185 227 629 1,135 3,145 3,859 8,399 19,295 41,995 142,783 713,915

Collatz Trajectory (97 steps to reach 1)

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

713,915 2,141,746 1,070,873 3,212,620 1,606,310 803,155 2,409,466 1,204,733 3,614,200 1,807,100 903,550 451,775 1,355,326 677,663 2,032,990 1,016,495 3,049,486 1,524,743 4,574,230 2,287,115 6,861,346 3,430,673 10,292,020 5,146,010 2,573,005 7,719,016 3,859,508 1,929,754 964,877 2,894,632 1,447,316 723,658 361,829 1,085,488 542,744 271,372 135,686 67,843 203,530 101,765 305,296 152,648 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024

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