4,170,876

2² × 3 × 503 × 691

Starting at 4,170,876, the Collatz iteration reaches 1 after 136 steps. The first transition is 2085438; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 503 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,765,504

Proper Divisor Sum 5,594,628

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4170863 ← → #4170877

Radix Representation

Decimal	4170876
Binary	1111111010010001111100 (22 bits)
Octal	0o17722174
Hexadecimal	0x3FA47C

Divisor Catalog (24)

1 2 3 4 6 12 503 691 1,006 1,382 1,509 2,012 2,073 2,764 3,018 4,146 6,036 8,292 347,573 695,146 1,042,719 1,390,292 2,085,438 4,170,876

Collatz Trajectory (136 steps to reach 1)

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

4,170,876 2,085,438 1,042,719 3,128,158 1,564,079 4,692,238 2,346,119 7,038,358 3,519,179 10,557,538 5,278,769 15,836,308 7,918,154 3,959,077 11,877,232 5,938,616 2,969,308 1,484,654 742,327 2,226,982 1,113,491 3,340,474 1,670,237 5,010,712 2,505,356 1,252,678 626,339 1,879,018 939,509 2,818,528 1,409,264 704,632 352,316 176,158 88,079 264,238 132,119 396,358 198,179 594,538 297,269 891,808 445,904 222,952 111,476 55,738 27,869 83,608 41,804 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458

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