3,203,473

7² × 13 × 47 × 107

3,203,473 factors as 7^2 × 13 × 47 × 107. Its 24 positive divisors give a proper-divisor sum of 933,359, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 47 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,136,832

Proper Divisor Sum 933,359

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #3203467 ← → #3203477

Radix Representation

Decimal	3203473
Binary	1100001110000110010001 (22 bits)
Octal	0o14160621
Hexadecimal	0x30E191

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

3,203,473 9,610,420 4,805,210 2,402,605 7,207,816 3,603,908 1,801,954 900,977 2,702,932 1,351,466 675,733 2,027,200 1,013,600 506,800 253,400 126,700 63,350 31,675 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400

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