9,823,977

3³ × 17² × 1259

9,823,977 factors as 3^3 × 17^2 × 1259. Its 24 positive divisors give a proper-divisor sum of 5,648,823, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3^3 × 17^2 × 1259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,472,800

Proper Divisor Sum 5,648,823

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9823973 ← → #9824029

Radix Representation

Decimal	9823977
Binary	100101011110011011101001 (24 bits)
Octal	0o45363351
Hexadecimal	0x95E6E9

Divisor Catalog (24)

Collatz Trajectory (282 steps to reach 1)

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

9,823,977 29,471,932 14,735,966 7,367,983 22,103,950 11,051,975 33,155,926 16,577,963 49,733,890 24,866,945 74,600,836 37,300,418 18,650,209 55,950,628 27,975,314 13,987,657 41,962,972 20,981,486 10,490,743 31,472,230 15,736,115 47,208,346 23,604,173 70,812,520 35,406,260 17,703,130 8,851,565 26,554,696 13,277,348 6,638,674 3,319,337 9,958,012 4,979,006 2,489,503 7,468,510 3,734,255 11,202,766 5,601,383 16,804,150 8,402,075 25,206,226 12,603,113 37,809,340 18,904,670 9,452,335 28,357,006 14,178,503 42,535,510 21,267,755 63,803,266 31,901,633 95,704,900 47,852,450 23,926,225 71,778,676 35,889,338 17,944,669 53,834,008 26,917,004 13,458,502

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