397,575

3³ × 5² × 19 × 31

397,575 factors as 3^3 × 5^2 × 19 × 31. Its 48 positive divisors give a proper-divisor sum of 396,025, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 19 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 793,600

Proper Divisor Sum 396,025

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #397567 ← → #397589

Radix Representation

Decimal	397575
Binary	1100001000100000111 (19 bits)
Octal	0o1410407
Hexadecimal	0x61107

Divisor Catalog (48)

1 3 5 9 15 19 25 27 31 45 57 75 93 95 135 155 171 225 279 285 465 475 513 589 675 775 837 855 1,395 1,425 1,767 2,325 2,565 2,945 4,185 4,275 5,301 6,975 8,835 12,825 14,725 15,903 20,925 26,505 44,175 79,515 132,525 397,575

Collatz Trajectory (99 steps to reach 1)

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

397,575 1,192,726 596,363 1,789,090 894,545 2,683,636 1,341,818 670,909 2,012,728 1,006,364 503,182 251,591 754,774 377,387 1,132,162 566,081 1,698,244 849,122 424,561 1,273,684 636,842 318,421 955,264 477,632 238,816 119,408 59,704 29,852 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524

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