4,800,575

5² × 13 × 14771

4,800,575 factors as 5^2 × 13 × 14771. Its 12 positive divisors give a proper-divisor sum of 1,610,473, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 14771

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,411,048

Proper Divisor Sum 1,610,473

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4800557 ← → #4800599

Radix Representation

Decimal	4800575
Binary	10010010100000000111111 (23 bits)
Octal	0o22240077
Hexadecimal	0x49403F

Divisor Catalog (12)

1 5 13 25 65 325 14,771 73,855 192,023 369,275 960,115 4,800,575

Collatz Trajectory (149 steps to reach 1)

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

4,800,575 14,401,726 7,200,863 21,602,590 10,801,295 32,403,886 16,201,943 48,605,830 24,302,915 72,908,746 36,454,373 109,363,120 54,681,560 27,340,780 13,670,390 6,835,195 20,505,586 10,252,793 30,758,380 15,379,190 7,689,595 23,068,786 11,534,393 34,603,180 17,301,590 8,650,795 25,952,386 12,976,193 38,928,580 19,464,290 9,732,145 29,196,436 14,598,218 7,299,109 21,897,328 10,948,664 5,474,332 2,737,166 1,368,583 4,105,750 2,052,875 6,158,626 3,079,313 9,237,940 4,618,970 2,309,485 6,928,456 3,464,228 1,732,114 866,057 2,598,172 1,299,086 649,543 1,948,630 974,315 2,922,946 1,461,473 4,384,420 2,192,210 1,096,105

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