4,112,157

3 × 7 × 195817

Starting at 4,112,157, the Collatz iteration reaches 1 after 141 steps. The first transition is 12336472; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 195817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,266,176

Proper Divisor Sum 2,154,019

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4112149 ← → #4112161

Radix Representation

Decimal	4112157
Binary	1111101011111100011101 (22 bits)
Octal	0o17537435
Hexadecimal	0x3EBF1D

Divisor Catalog (8)

1 3 7 21 195,817 587,451 1,370,719 4,112,157

Collatz Trajectory (141 steps to reach 1)

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

4,112,157 12,336,472 6,168,236 3,084,118 1,542,059 4,626,178 2,313,089 6,939,268 3,469,634 1,734,817 5,204,452 2,602,226 1,301,113 3,903,340 1,951,670 975,835 2,927,506 1,463,753 4,391,260 2,195,630 1,097,815 3,293,446 1,646,723 4,940,170 2,470,085 7,410,256 3,705,128 1,852,564 926,282 463,141 1,389,424 694,712 347,356 173,678 86,839 260,518 130,259 390,778 195,389 586,168 293,084 146,542 73,271 219,814 109,907 329,722 164,861 494,584 247,292 123,646 61,823 185,470 92,735 278,206 139,103 417,310 208,655 625,966 312,983 938,950

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