4,741,971

3 × 13² × 47 × 199

4,741,971 factors as 3 × 13^2 × 47 × 199. Its 24 positive divisors give a proper-divisor sum of 2,285,229, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 47 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,027,200

Proper Divisor Sum 2,285,229

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4741969 ← → #4741973

Radix Representation

Decimal	4741971
Binary	10010000101101101010011 (23 bits)
Octal	0o22055523
Hexadecimal	0x485B53

Divisor Catalog (24)

Collatz Trajectory (100 steps to reach 1)

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

4,741,971 14,225,914 7,112,957 21,338,872 10,669,436 5,334,718 2,667,359 8,002,078 4,001,039 12,003,118 6,001,559 18,004,678 9,002,339 27,007,018 13,503,509 40,510,528 20,255,264 10,127,632 5,063,816 2,531,908 1,265,954 632,977 1,898,932 949,466 474,733 1,424,200 712,100 356,050 178,025 534,076 267,038 133,519 400,558 200,279 600,838 300,419 901,258 450,629 1,351,888 675,944 337,972 168,986 84,493 253,480 126,740 63,370 31,685 95,056 47,528 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836

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