29,588,024

2³ × 17 × 217559

29,588,024 factors as 2^3 × 17 × 217559. Its 16 positive divisors give a proper-divisor sum of 29,153,176, so this integer is deficient. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 217559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 58,741,200

Proper Divisor Sum 29,153,176

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #29588023 ← → #29588047

Radix Representation

Decimal	29588024
Binary	1110000110111101000111000 (25 bits)
Octal	0o160675070
Hexadecimal	0x1C37A38

Divisor Catalog (16)

1 2 4 8 17 34 68 136 217,559 435,118 870,236 1,740,472 3,698,503 7,397,006 14,794,012 29,588,024

Collatz Trajectory (356 steps to reach 1)

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

29,588,024 14,794,012 7,397,006 3,698,503 11,095,510 5,547,755 16,643,266 8,321,633 24,964,900 12,482,450 6,241,225 18,723,676 9,361,838 4,680,919 14,042,758 7,021,379 21,064,138 10,532,069 31,596,208 15,798,104 7,899,052 3,949,526 1,974,763 5,924,290 2,962,145 8,886,436 4,443,218 2,221,609 6,664,828 3,332,414 1,666,207 4,998,622 2,499,311 7,497,934 3,748,967 11,246,902 5,623,451 16,870,354 8,435,177 25,305,532 12,652,766 6,326,383 18,979,150 9,489,575 28,468,726 14,234,363 42,703,090 21,351,545 64,054,636 32,027,318 16,013,659 48,040,978 24,020,489 72,061,468 36,030,734 18,015,367 54,046,102 27,023,051 81,069,154 40,534,577

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