398,691

3² × 31 × 1429

398,691 factors as 3^2 × 31 × 1429. Its 12 positive divisors give a proper-divisor sum of 196,189, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3^2 × 31 × 1429

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 594,880

Proper Divisor Sum 196,189

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #398683 ← → #398693

Radix Representation

Decimal	398691
Binary	1100001010101100011 (19 bits)
Octal	0o1412543
Hexadecimal	0x61563

Divisor Catalog (12)

1 3 9 31 93 279 1,429 4,287 12,861 44,299 132,897 398,691

Collatz Trajectory (99 steps to reach 1)

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

398,691 1,196,074 598,037 1,794,112 897,056 448,528 224,264 112,132 56,066 28,033 84,100 42,050 21,025 63,076 31,538 15,769 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531

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