3,457,774

2 × 23 × 75169

Starting at 3,457,774, the Collatz iteration reaches 1 after 190 steps. The first transition is 1728887; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 23 × 75169

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,412,240

Proper Divisor Sum 1,954,466

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3457763 ← → #3457777

Radix Representation

Decimal	3457774
Binary	1101001100001011101110 (22 bits)
Octal	0o15141356
Hexadecimal	0x34C2EE

Divisor Catalog (8)

1 2 23 46 75,169 150,338 1,728,887 3,457,774

Collatz Trajectory (190 steps to reach 1)

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

3,457,774 1,728,887 5,186,662 2,593,331 7,779,994 3,889,997 11,669,992 5,834,996 2,917,498 1,458,749 4,376,248 2,188,124 1,094,062 547,031 1,641,094 820,547 2,461,642 1,230,821 3,692,464 1,846,232 923,116 461,558 230,779 692,338 346,169 1,038,508 519,254 259,627 778,882 389,441 1,168,324 584,162 292,081 876,244 438,122 219,061 657,184 328,592 164,296 82,148 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656

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