3,717,155

5 × 13² × 53 × 83

Starting at 3,717,155, the Collatz iteration reaches 1 after 185 steps. The first transition is 11151466; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 13^2 × 53 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,980,528

Proper Divisor Sum 1,263,373

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3717149 ← → #3717173

Radix Representation

Decimal	3717155
Binary	1110001011100000100011 (22 bits)
Octal	0o16134043
Hexadecimal	0x38B823

Divisor Catalog (24)

1 5 13 53 65 83 169 265 415 689 845 1,079 3,445 4,399 5,395 8,957 14,027 21,995 44,785 57,187 70,135 285,935 743,431 3,717,155

Collatz Trajectory (185 steps to reach 1)

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

3,717,155 11,151,466 5,575,733 16,727,200 8,363,600 4,181,800 2,090,900 1,045,450 522,725 1,568,176 784,088 392,044 196,022 98,011 294,034 147,017 441,052 220,526 110,263 330,790 165,395 496,186 248,093 744,280 372,140 186,070 93,035 279,106 139,553 418,660 209,330 104,665 313,996 156,998 78,499 235,498 117,749 353,248 176,624 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579

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