3,822,159

3 × 11 × 115823

Starting at 3,822,159, the Collatz iteration reaches 1 after 172 steps. The first transition is 11466478; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 115823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,559,552

Proper Divisor Sum 1,737,393

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3822157 ← → #3822167

Radix Representation

Decimal	3822159
Binary	1110100101001001001111 (22 bits)
Octal	0o16451117
Hexadecimal	0x3A524F

Divisor Catalog (8)

1 3 11 33 115,823 347,469 1,274,053 3,822,159

Collatz Trajectory (172 steps to reach 1)

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

3,822,159 11,466,478 5,733,239 17,199,718 8,599,859 25,799,578 12,899,789 38,699,368 19,349,684 9,674,842 4,837,421 14,512,264 7,256,132 3,628,066 1,814,033 5,442,100 2,721,050 1,360,525 4,081,576 2,040,788 1,020,394 510,197 1,530,592 765,296 382,648 191,324 95,662 47,831 143,494 71,747 215,242 107,621 322,864 161,432 80,716 40,358 20,179 60,538 30,269 90,808 45,404 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674

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