29,250,333

3² × 7 × 464291

29,250,333 factors as 3^2 × 7 × 464291. Its 12 positive divisors give a proper-divisor sum of 19,036,035, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 464291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,286,368

Proper Divisor Sum 19,036,035

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #29250323 ← → #29250349

Radix Representation

Decimal	29250333
Binary	1101111100101001100011101 (25 bits)
Octal	0o157451435
Hexadecimal	0x1BE531D

Divisor Catalog (12)

1 3 7 9 21 63 464,291 1,392,873 3,250,037 4,178,619 9,750,111 29,250,333

Collatz Trajectory (149 steps to reach 1)

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

29,250,333 87,751,000 43,875,500 21,937,750 10,968,875 32,906,626 16,453,313 49,359,940 24,679,970 12,339,985 37,019,956 18,509,978 9,254,989 27,764,968 13,882,484 6,941,242 3,470,621 10,411,864 5,205,932 2,602,966 1,301,483 3,904,450 1,952,225 5,856,676 2,928,338 1,464,169 4,392,508 2,196,254 1,098,127 3,294,382 1,647,191 4,941,574 2,470,787 7,412,362 3,706,181 11,118,544 5,559,272 2,779,636 1,389,818 694,909 2,084,728 1,042,364 521,182 260,591 781,774 390,887 1,172,662 586,331 1,758,994 879,497 2,638,492 1,319,246 659,623 1,978,870 989,435 2,968,306 1,484,153 4,452,460 2,226,230 1,113,115

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