23,891,763

3 × 7² × 162529

23,891,763 factors as 3 × 7^2 × 162529. Its 12 positive divisors give a proper-divisor sum of 13,165,077, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 162529

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 37,056,840

Proper Divisor Sum 13,165,077

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #23891761 ← → #23891767

Radix Representation

Decimal	23891763
Binary	1011011001000111100110011 (25 bits)
Octal	0o133107463
Hexadecimal	0x16C8F33

Divisor Catalog (12)

1 3 7 21 49 147 162,529 487,587 1,137,703 3,413,109 7,963,921 23,891,763

Collatz Trajectory (154 steps to reach 1)

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

23,891,763 71,675,290 35,837,645 107,512,936 53,756,468 26,878,234 13,439,117 40,317,352 20,158,676 10,079,338 5,039,669 15,119,008 7,559,504 3,779,752 1,889,876 944,938 472,469 1,417,408 708,704 354,352 177,176 88,588 44,294 22,147 66,442 33,221 99,664 49,832 24,916 12,458 6,229 18,688 9,344 4,672 2,336 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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