λ
Sigma Notebook

3,047,475

3 × 52 × 179 × 227
Deficient Odd Composite

3,047,475 is odd and not a perfect square. Its factorization is 3 × 5^2 × 179 × 227 and its 24 divisors sum to 5,088,960.

Prime Factor Structure

Factorization String 3 × 5^2 × 179 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,088,960
Proper Divisor Sum 2,041,485
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3047441 ← → #3047479

Radix Representation

Decimal 3047475
Binary 1011101000000000110011 (22 bits)
Octal 0o13500063
Hexadecimal 0x2E8033

Divisor Catalog (24)

1 3 5 15 25 75 179 227 537 681 895 1,135 2,685 3,405 4,475 5,675 13,425 17,025 40,633 121,899 203,165 609,495 1,015,825 3,047,475

Collatz Trajectory (81 steps to reach 1)

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

3,047,475 9,142,426 4,571,213 13,713,640 6,856,820 3,428,410 1,714,205 5,142,616 2,571,308 1,285,654 642,827 1,928,482 964,241 2,892,724 1,446,362 723,181 2,169,544 1,084,772 542,386 271,193 813,580 406,790 203,395 610,186 305,093 915,280 457,640 228,820 114,410 57,205 171,616 85,808 42,904 21,452 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226

More profiles

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