4,182,409

7 × 11 × 29 × 1873

Starting at 4,182,409, the Collatz iteration reaches 1 after 136 steps. The first transition is 12547228; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 29 × 1873

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,397,120

Proper Divisor Sum 1,214,711

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4182407 ← → #4182419

Radix Representation

Decimal	4182409
Binary	1111111101000110001001 (22 bits)
Octal	0o17750611
Hexadecimal	0x3FD189

Divisor Catalog (16)

1 7 11 29 77 203 319 1,873 2,233 13,111 20,603 54,317 144,221 380,219 597,487 4,182,409

Collatz Trajectory (136 steps to reach 1)

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

4,182,409 12,547,228 6,273,614 3,136,807 9,410,422 4,705,211 14,115,634 7,057,817 21,173,452 10,586,726 5,293,363 15,880,090 7,940,045 23,820,136 11,910,068 5,955,034 2,977,517 8,932,552 4,466,276 2,233,138 1,116,569 3,349,708 1,674,854 837,427 2,512,282 1,256,141 3,768,424 1,884,212 942,106 471,053 1,413,160 706,580 353,290 176,645 529,936 264,968 132,484 66,242 33,121 99,364 49,682 24,841 74,524 37,262 18,631 55,894 27,947 83,842 41,921 125,764 62,882 31,441 94,324 47,162 23,581 70,744 35,372 17,686 8,843 26,530

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