3,740,265

3² × 5 × 83117

Starting at 3,740,265, the Collatz iteration reaches 1 after 172 steps. The first transition is 11220796; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 83117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,483,204

Proper Divisor Sum 2,742,939

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3740251 ← → #3740267

Radix Representation

Decimal	3740265
Binary	1110010001001001101001 (22 bits)
Octal	0o16211151
Hexadecimal	0x391269

Divisor Catalog (12)

1 3 5 9 15 45 83,117 249,351 415,585 748,053 1,246,755 3,740,265

Collatz Trajectory (172 steps to reach 1)

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

3,740,265 11,220,796 5,610,398 2,805,199 8,415,598 4,207,799 12,623,398 6,311,699 18,935,098 9,467,549 28,402,648 14,201,324 7,100,662 3,550,331 10,650,994 5,325,497 15,976,492 7,988,246 3,994,123 11,982,370 5,991,185 17,973,556 8,986,778 4,493,389 13,480,168 6,740,084 3,370,042 1,685,021 5,055,064 2,527,532 1,263,766 631,883 1,895,650 947,825 2,843,476 1,421,738 710,869 2,132,608 1,066,304 533,152 266,576 133,288 66,644 33,322 16,661 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110

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