9,823,976

2³ × 521 × 2357

9,823,976 factors as 2^3 × 521 × 2357. Its 16 positive divisors give a proper-divisor sum of 8,639,164, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 521 × 2357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,463,140

Proper Divisor Sum 8,639,164

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9823973 ← → #9824029

Radix Representation

Decimal	9823976
Binary	100101011110011011101000 (24 bits)
Octal	0o45363350
Hexadecimal	0x95E6E8

Divisor Catalog (16)

1 2 4 8 521 1,042 2,084 2,357 4,168 4,714 9,428 18,856 1,227,997 2,455,994 4,911,988 9,823,976

Collatz Trajectory (114 steps to reach 1)

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

9,823,976 4,911,988 2,455,994 1,227,997 3,683,992 1,841,996 920,998 460,499 1,381,498 690,749 2,072,248 1,036,124 518,062 259,031 777,094 388,547 1,165,642 582,821 1,748,464 874,232 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315

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