λ
Sigma Notebook

4,760,109

32 × 107 × 4943
Deficient Odd Composite

4,760,109 is odd and not a perfect square. Its factorization is 3^2 × 107 × 4943 and its 12 divisors sum to 6,941,376.

Prime Factor Structure

Factorization String 3^2 × 107 × 4943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,941,376
Proper Divisor Sum 2,181,267
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4760101 ← → #4760117

Radix Representation

Decimal 4760109
Binary 10010001010001000101101 (23 bits)
Octal 0o22121055
Hexadecimal 0x48A22D

Divisor Catalog (12)

1 3 9 107 321 963 4,943 14,829 44,487 528,901 1,586,703 4,760,109

Collatz Trajectory (268 steps to reach 1)

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

4,760,109 14,280,328 7,140,164 3,570,082 1,785,041 5,355,124 2,677,562 1,338,781 4,016,344 2,008,172 1,004,086 502,043 1,506,130 753,065 2,259,196 1,129,598 564,799 1,694,398 847,199 2,541,598 1,270,799 3,812,398 1,906,199 5,718,598 2,859,299 8,577,898 4,288,949 12,866,848 6,433,424 3,216,712 1,608,356 804,178 402,089 1,206,268 603,134 301,567 904,702 452,351 1,357,054 678,527 2,035,582 1,017,791 3,053,374 1,526,687 4,580,062 2,290,031 6,870,094 3,435,047 10,305,142 5,152,571 15,457,714 7,728,857 23,186,572 11,593,286 5,796,643 17,389,930 8,694,965 26,084,896 13,042,448 6,521,224

More profiles

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