4,034,775

3 × 5² × 23 × 2339

Starting at 4,034,775, the Collatz iteration reaches 1 after 136 steps. The first transition is 12104326; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 23 × 2339

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,963,840

Proper Divisor Sum 2,929,065

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4034773 ← → #4034777

Radix Representation

Decimal	4034775
Binary	1111011001000011010111 (22 bits)
Octal	0o17310327
Hexadecimal	0x3D90D7

Divisor Catalog (24)

1 3 5 15 23 25 69 75 115 345 575 1,725 2,339 7,017 11,695 35,085 53,797 58,475 161,391 175,425 268,985 806,955 1,344,925 4,034,775

Collatz Trajectory (136 steps to reach 1)

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

4,034,775 12,104,326 6,052,163 18,156,490 9,078,245 27,234,736 13,617,368 6,808,684 3,404,342 1,702,171 5,106,514 2,553,257 7,659,772 3,829,886 1,914,943 5,744,830 2,872,415 8,617,246 4,308,623 12,925,870 6,462,935 19,388,806 9,694,403 29,083,210 14,541,605 43,624,816 21,812,408 10,906,204 5,453,102 2,726,551 8,179,654 4,089,827 12,269,482 6,134,741 18,404,224 9,202,112 4,601,056 2,300,528 1,150,264 575,132 287,566 143,783 431,350 215,675 647,026 323,513 970,540 485,270 242,635 727,906 363,953 1,091,860 545,930 272,965 818,896 409,448 204,724 102,362 51,181 153,544

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