3,474,790

2 × 5 × 11 × 31 × 1019

Starting at 3,474,790, the Collatz iteration reaches 1 after 159 steps. The first transition is 1737395; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 31 × 1019

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,050,240

Proper Divisor Sum 3,575,450

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3474773 ← → #3474797

Radix Representation

Decimal	3474790
Binary	1101010000010101100110 (22 bits)
Octal	0o15202546
Hexadecimal	0x350566

Divisor Catalog (32)

1 2 5 10 11 22 31 55 62 110 155 310 341 682 1,019 1,705 2,038 3,410 5,095 10,190 11,209 22,418 31,589 56,045 63,178 112,090 157,945 315,890 347,479 694,958 1,737,395 3,474,790

Collatz Trajectory (159 steps to reach 1)

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

3,474,790 1,737,395 5,212,186 2,606,093 7,818,280 3,909,140 1,954,570 977,285 2,931,856 1,465,928 732,964 366,482 183,241 549,724 274,862 137,431 412,294 206,147 618,442 309,221 927,664 463,832 231,916 115,958 57,979 173,938 86,969 260,908 130,454 65,227 195,682 97,841 293,524 146,762 73,381 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474

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