29,325,023

7 × 13 × 23 × 14011

29,325,023 factors as 7 × 13 × 23 × 14011. Its 16 positive divisors give a proper-divisor sum of 8,339,233, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 7 × 13 × 23 × 14011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 37,664,256

Proper Divisor Sum 8,339,233

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #29325019 ← → #29325041

Radix Representation

Decimal	29325023
Binary	1101111110111011011011111 (25 bits)
Octal	0o157673337
Hexadecimal	0x1BF76DF

Divisor Catalog (16)

1 7 13 23 91 161 299 2,093 14,011 98,077 182,143 322,253 1,275,001 2,255,771 4,189,289 29,325,023

Collatz Trajectory (198 steps to reach 1)

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

29,325,023 87,975,070 43,987,535 131,962,606 65,981,303 197,943,910 98,971,955 296,915,866 148,457,933 445,373,800 222,686,900 111,343,450 55,671,725 167,015,176 83,507,588 41,753,794 20,876,897 62,630,692 31,315,346 15,657,673 46,973,020 23,486,510 11,743,255 35,229,766 17,614,883 52,844,650 26,422,325 79,266,976 39,633,488 19,816,744 9,908,372 4,954,186 2,477,093 7,431,280 3,715,640 1,857,820 928,910 464,455 1,393,366 696,683 2,090,050 1,045,025 3,135,076 1,567,538 783,769 2,351,308 1,175,654 587,827 1,763,482 881,741 2,645,224 1,322,612 661,306 330,653 991,960 495,980 247,990 123,995 371,986 185,993

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