4,120,985

5 × 11 × 31 × 2417

Starting at 4,120,985, the Collatz iteration reaches 1 after 105 steps. The first transition is 12362956; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 31 × 2417

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,571,072

Proper Divisor Sum 1,450,087

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4120981 ← → #4120993

Radix Representation

Decimal	4120985
Binary	1111101110000110011001 (22 bits)
Octal	0o17560631
Hexadecimal	0x3EE199

Divisor Catalog (16)

1 5 11 31 55 155 341 1,705 2,417 12,085 26,587 74,927 132,935 374,635 824,197 4,120,985

Collatz Trajectory (105 steps to reach 1)

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

4,120,985 12,362,956 6,181,478 3,090,739 9,272,218 4,636,109 13,908,328 6,954,164 3,477,082 1,738,541 5,215,624 2,607,812 1,303,906 651,953 1,955,860 977,930 488,965 1,466,896 733,448 366,724 183,362 91,681 275,044 137,522 68,761 206,284 103,142 51,571 154,714 77,357 232,072 116,036 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357

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