701,223

3 × 41 × 5701

701,223 factors as 3 × 41 × 5701. Its 8 positive divisors give a proper-divisor sum of 256,713, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3 × 41 × 5701

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 957,936

Proper Divisor Sum 256,713

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #701221 ← → #701227

Radix Representation

Decimal	701223
Binary	10101011001100100111 (20 bits)
Octal	0o2531447
Hexadecimal	0xAB327

Divisor Catalog (8)

1 3 41 123 5,701 17,103 233,741 701,223

Collatz Trajectory (105 steps to reach 1)

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

701,223 2,103,670 1,051,835 3,155,506 1,577,753 4,733,260 2,366,630 1,183,315 3,549,946 1,774,973 5,324,920 2,662,460 1,331,230 665,615 1,996,846 998,423 2,995,270 1,497,635 4,492,906 2,246,453 6,739,360 3,369,680 1,684,840 842,420 421,210 210,605 631,816 315,908 157,954 78,977 236,932 118,466 59,233 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448

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