29,623,923

3² × 7 × 431 × 1091

29,623,923 factors as 3^2 × 7 × 431 × 1091. Its 24 positive divisors give a proper-divisor sum of 19,437,453, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 431 × 1091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 49,061,376

Proper Divisor Sum 19,437,453

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #29623903 ← → #29623927

Radix Representation

Decimal	29623923
Binary	1110001000000011001110011 (25 bits)
Octal	0o161003163
Hexadecimal	0x1C40673

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

29,623,923 88,871,770 44,435,885 133,307,656 66,653,828 33,326,914 16,663,457 49,990,372 24,995,186 12,497,593 37,492,780 18,746,390 9,373,195 28,119,586 14,059,793 42,179,380 21,089,690 10,544,845 31,634,536 15,817,268 7,908,634 3,954,317 11,862,952 5,931,476 2,965,738 1,482,869 4,448,608 2,224,304 1,112,152 556,076 278,038 139,019 417,058 208,529 625,588 312,794 156,397 469,192 234,596 117,298 58,649 175,948 87,974 43,987 131,962 65,981 197,944 98,972 49,486 24,743 74,230 37,115 111,346 55,673 167,020 83,510 41,755 125,266 62,633 187,900

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