9,827,165

5 × 563 × 3491

9,827,165 factors as 5 × 563 × 3491. Its 8 positive divisors give a proper-divisor sum of 1,989,763, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 5 × 563 × 3491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,816,928

Proper Divisor Sum 1,989,763

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9827131 ← → #9827179

Radix Representation

Decimal	9827165
Binary	100101011111001101011101 (24 bits)
Octal	0o45371535
Hexadecimal	0x95F35D

Divisor Catalog (8)

1 5 563 2,815 3,491 17,455 1,965,433 9,827,165

Collatz Trajectory (88 steps to reach 1)

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

9,827,165 29,481,496 14,740,748 7,370,374 3,685,187 11,055,562 5,527,781 16,583,344 8,291,672 4,145,836 2,072,918 1,036,459 3,109,378 1,554,689 4,664,068 2,332,034 1,166,017 3,498,052 1,749,026 874,513 2,623,540 1,311,770 655,885 1,967,656 983,828 491,914 245,957 737,872 368,936 184,468 92,234 46,117 138,352 69,176 34,588 17,294 8,647 25,942 12,971 38,914 19,457 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732

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