29,721,904

2⁴ × 619 × 3001

29,721,904 factors as 2^4 × 619 × 3001. Its 20 positive divisors give a proper-divisor sum of 27,976,536, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 619 × 3001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 57,698,440

Proper Divisor Sum 27,976,536

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #29721883 ← → #29721917

Radix Representation

Decimal	29721904
Binary	1110001011000010100110000 (25 bits)
Octal	0o161302460
Hexadecimal	0x1C58530

Divisor Catalog (20)

Collatz Trajectory (193 steps to reach 1)

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

29,721,904 14,860,952 7,430,476 3,715,238 1,857,619 5,572,858 2,786,429 8,359,288 4,179,644 2,089,822 1,044,911 3,134,734 1,567,367 4,702,102 2,351,051 7,053,154 3,526,577 10,579,732 5,289,866 2,644,933 7,934,800 3,967,400 1,983,700 991,850 495,925 1,487,776 743,888 371,944 185,972 92,986 46,493 139,480 69,740 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527

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