λ
Sigma Notebook

4,476,537

32 × 13 × 38261
Deficient Odd Composite

4,476,537 is odd and not a perfect square. Its factorization is 3^2 × 13 × 38261 and its 12 divisors sum to 6,963,684.

Prime Factor Structure

Factorization String 3^2 × 13 × 38261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,963,684
Proper Divisor Sum 2,487,147
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4476517 ← → #4476547

Radix Representation

Decimal 4476537
Binary 10001000100111001111001 (23 bits)
Octal 0o21047171
Hexadecimal 0x444E79

Divisor Catalog (12)

1 3 9 13 39 117 38,261 114,783 344,349 497,393 1,492,179 4,476,537

Collatz Trajectory (286 steps to reach 1)

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

4,476,537 13,429,612 6,714,806 3,357,403 10,072,210 5,036,105 15,108,316 7,554,158 3,777,079 11,331,238 5,665,619 16,996,858 8,498,429 25,495,288 12,747,644 6,373,822 3,186,911 9,560,734 4,780,367 14,341,102 7,170,551 21,511,654 10,755,827 32,267,482 16,133,741 48,401,224 24,200,612 12,100,306 6,050,153 18,150,460 9,075,230 4,537,615 13,612,846 6,806,423 20,419,270 10,209,635 30,628,906 15,314,453 45,943,360 22,971,680 11,485,840 5,742,920 2,871,460 1,435,730 717,865 2,153,596 1,076,798 538,399 1,615,198 807,599 2,422,798 1,211,399 3,634,198 1,817,099 5,451,298 2,725,649 8,176,948 4,088,474 2,044,237 6,132,712

More profiles

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