849,015

3³ × 5 × 19 × 331

849,015 factors as 3^3 × 5 × 19 × 331. Its 32 positive divisors give a proper-divisor sum of 744,585, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 19 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,593,600

Proper Divisor Sum 744,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #848993 ← → #849019

Radix Representation

Decimal	849015
Binary	11001111010001110111 (20 bits)
Octal	0o3172167
Hexadecimal	0xCF477

Divisor Catalog (32)

1 3 5 9 15 19 27 45 57 95 135 171 285 331 513 855 993 1,655 2,565 2,979 4,965 6,289 8,937 14,895 18,867 31,445 44,685 56,601 94,335 169,803 283,005 849,015

Collatz Trajectory (82 steps to reach 1)

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

849,015 2,547,046 1,273,523 3,820,570 1,910,285 5,730,856 2,865,428 1,432,714 716,357 2,149,072 1,074,536 537,268 268,634 134,317 402,952 201,476 100,738 50,369 151,108 75,554 37,777 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25

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