λ
Match Zalai

391,839

3 × 7 × 47 × 397
Deficient Odd Composite

391,839 factors as 3 × 7 × 47 × 397. Its 16 positive divisors give a proper-divisor sum of 219,489, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 7 × 47 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 611,328
Proper Divisor Sum 219,489
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #391823 ← → #391847

Radix Representation

Decimal 391839
Binary 1011111101010011111 (19 bits)
Octal 0o1375237
Hexadecimal 0x5FA9F

Divisor Catalog (16)

1 3 7 21 47 141 329 397 987 1,191 2,779 8,337 18,659 55,977 130,613 391,839

Collatz Trajectory (130 steps to reach 1)

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

391,839 1,175,518 587,759 1,763,278 881,639 2,644,918 1,322,459 3,967,378 1,983,689 5,951,068 2,975,534 1,487,767 4,463,302 2,231,651 6,694,954 3,347,477 10,042,432 5,021,216 2,510,608 1,255,304 627,652 313,826 156,913 470,740 235,370 117,685 353,056 176,528 88,264 44,132 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917

More profiles

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