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Atlas › Integer Profiles › Node 4,901,435

4,901,435

5 × 7 × 11 × 29 × 439
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 29 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,603,200
Proper Divisor Sum 2,701,765
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4901431 ← → #4901437

Radix Representation

Decimal 4901435
Binary 10010101100101000111011 (23 bits)
Octal 0o22545073
Hexadecimal 0x4ACA3B

Divisor Catalog (32)

1 5 7 11 29 35 55 77 145 203 319 385 439 1,015 1,595 2,195 2,233 3,073 4,829 11,165 12,731 15,365 24,145 33,803 63,655 89,117 140,041 169,015 445,585 700,205 980,287 4,901,435

Collatz Trajectory (237 steps to reach 1)

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

4,901,435 14,704,306 7,352,153 22,056,460 11,028,230 5,514,115 16,542,346 8,271,173 24,813,520 12,406,760 6,203,380 3,101,690 1,550,845 4,652,536 2,326,268 1,163,134 581,567 1,744,702 872,351 2,617,054 1,308,527 3,925,582 1,962,791 5,888,374 2,944,187 8,832,562 4,416,281 13,248,844 6,624,422 3,312,211 9,936,634 4,968,317 14,904,952 7,452,476 3,726,238 1,863,119 5,589,358 2,794,679 8,384,038 4,192,019 12,576,058 6,288,029 18,864,088 9,432,044 4,716,022 2,358,011 7,074,034 3,537,017 10,611,052 5,305,526 2,652,763 7,958,290 3,979,145 11,937,436 5,968,718 2,984,359 8,953,078 4,476,539 13,429,618 6,714,809

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