52,052,001

3 × 19 × 41 × 22273

52,052,001 factors as 3 × 19 × 41 × 22273. Its 16 positive divisors give a proper-divisor sum of 22,788,639, so this integer is deficient. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 3 × 19 × 41 × 22273

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 74,840,640

Proper Divisor Sum 22,788,639

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #52051999 ← → #52052003

Radix Representation

Decimal	52052001
Binary	11000110100100000000100001 (26 bits)
Octal	0o306440041
Hexadecimal	0x31A4021

Divisor Catalog (16)

1 3 19 41 57 123 779 2,337 22,273 66,819 423,187 913,193 1,269,561 2,739,579 17,350,667 52,052,001

Collatz Trajectory (243 steps to reach 1)

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

52,052,001 156,156,004 78,078,002 39,039,001 117,117,004 58,558,502 29,279,251 87,837,754 43,918,877 131,756,632 65,878,316 32,939,158 16,469,579 49,408,738 24,704,369 74,113,108 37,056,554 18,528,277 55,584,832 27,792,416 13,896,208 6,948,104 3,474,052 1,737,026 868,513 2,605,540 1,302,770 651,385 1,954,156 977,078 488,539 1,465,618 732,809 2,198,428 1,099,214 549,607 1,648,822 824,411 2,473,234 1,236,617 3,709,852 1,854,926 927,463 2,782,390 1,391,195 4,173,586 2,086,793 6,260,380 3,130,190 1,565,095 4,695,286 2,347,643 7,042,930 3,521,465 10,564,396 5,282,198 2,641,099 7,923,298 3,961,649 11,884,948

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