701,588

2² × 43 × 4079

701,588 factors as 2^2 × 43 × 4079. Its 12 positive divisors give a proper-divisor sum of 555,052, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 43 × 4079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,256,640

Proper Divisor Sum 555,052

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #701581 ← → #701593

Radix Representation

Decimal	701588
Binary	10101011010010010100 (20 bits)
Octal	0o2532224
Hexadecimal	0xAB494

Divisor Catalog (12)

1 2 4 43 86 172 4,079 8,158 16,316 175,397 350,794 701,588

Collatz Trajectory (198 steps to reach 1)

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

701,588 350,794 175,397 526,192 263,096 131,548 65,774 32,887 98,662 49,331 147,994 73,997 221,992 110,996 55,498 27,749 83,248 41,624 20,812 10,406 5,203 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728

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