23,784,649

7³ × 17 × 4079

23,784,649 factors as 7^3 × 17 × 4079. Its 16 positive divisors give a proper-divisor sum of 5,591,351, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 7^3 × 17 × 4079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 29,376,000

Proper Divisor Sum 5,591,351

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #23784623 ← → #23784661

Radix Representation

Decimal	23784649
Binary	1011010101110110011001001 (25 bits)
Octal	0o132566311
Hexadecimal	0x16AECC9

Divisor Catalog (16)

1 7 17 49 119 343 833 4,079 5,831 28,553 69,343 199,871 485,401 1,399,097 3,397,807 23,784,649

Collatz Trajectory (216 steps to reach 1)

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

23,784,649 71,353,948 35,676,974 17,838,487 53,515,462 26,757,731 80,273,194 40,136,597 120,409,792 60,204,896 30,102,448 15,051,224 7,525,612 3,762,806 1,881,403 5,644,210 2,822,105 8,466,316 4,233,158 2,116,579 6,349,738 3,174,869 9,524,608 4,762,304 2,381,152 1,190,576 595,288 297,644 148,822 74,411 223,234 111,617 334,852 167,426 83,713 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150

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