5,133,115

5 × 13 × 157 × 503

Starting at 5,133,115, the Collatz iteration reaches 1 after 82 steps. The first transition is 15399346; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 157 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,689,088

Proper Divisor Sum 1,555,973

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5133113 ← → #5133119

Radix Representation

Decimal	5133115
Binary	10011100101001100111011 (23 bits)
Octal	0o23451473
Hexadecimal	0x4E533B

Divisor Catalog (16)

1 5 13 65 157 503 785 2,041 2,515 6,539 10,205 32,695 78,971 394,855 1,026,623 5,133,115

Collatz Trajectory (82 steps to reach 1)

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

5,133,115 15,399,346 7,699,673 23,099,020 11,549,510 5,774,755 17,324,266 8,662,133 25,986,400 12,993,200 6,496,600 3,248,300 1,624,150 812,075 2,436,226 1,218,113 3,654,340 1,827,170 913,585 2,740,756 1,370,378 685,189 2,055,568 1,027,784 513,892 256,946 128,473 385,420 192,710 96,355 289,066 144,533 433,600 216,800 108,400 54,200 27,100 13,550 6,775 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152

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