λ
Sigma Notebook

4,728,417

3 × 1576139
Deficient Odd Composite

4,728,417 is odd and not a perfect square. Its factorization is 3 × 1576139 and its 4 divisors sum to 6,304,560.

Prime Factor Structure

Factorization String 3 × 1576139
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,304,560
Proper Divisor Sum 1,576,143
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4728413 ← → #4728433

Radix Representation

Decimal 4728417
Binary 10010000010011001100001 (23 bits)
Octal 0o22023141
Hexadecimal 0x482661

Divisor Catalog (4)

1 3 1,576,139 4,728,417

Collatz Trajectory (87 steps to reach 1)

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

4,728,417 14,185,252 7,092,626 3,546,313 10,638,940 5,319,470 2,659,735 7,979,206 3,989,603 11,968,810 5,984,405 17,953,216 8,976,608 4,488,304 2,244,152 1,122,076 561,038 280,519 841,558 420,779 1,262,338 631,169 1,893,508 946,754 473,377 1,420,132 710,066 355,033 1,065,100 532,550 266,275 798,826 399,413 1,198,240 599,120 299,560 149,780 74,890 37,445 112,336 56,168 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002

More profiles

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