5,133,290

2 × 5 × 29 × 31 × 571

Starting at 5,133,290, the Collatz iteration reaches 1 after 175 steps. The first transition is 2566645; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 31 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 9,884,160

Proper Divisor Sum 4,750,870

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5133277 ← → #5133299

Radix Representation

Decimal	5133290
Binary	10011100101001111101010 (23 bits)
Octal	0o23451752
Hexadecimal	0x4E53EA

Divisor Catalog (32)

1 2 5 10 29 31 58 62 145 155 290 310 571 899 1,142 1,798 2,855 4,495 5,710 8,990 16,559 17,701 33,118 35,402 82,795 88,505 165,590 177,010 513,329 1,026,658 2,566,645 5,133,290

Collatz Trajectory (175 steps to reach 1)

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

5,133,290 2,566,645 7,699,936 3,849,968 1,924,984 962,492 481,246 240,623 721,870 360,935 1,082,806 541,403 1,624,210 812,105 2,436,316 1,218,158 609,079 1,827,238 913,619 2,740,858 1,370,429 4,111,288 2,055,644 1,027,822 513,911 1,541,734 770,867 2,312,602 1,156,301 3,468,904 1,734,452 867,226 433,613 1,300,840 650,420 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370

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