7,638,418

2 × 19 × 201011

Starting at 7,638,418, the Collatz iteration reaches 1 after 124 steps. The first transition is 3819209; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 201011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,060,720

Proper Divisor Sum 4,422,302

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7638403 ← → #7638473

Radix Representation

Decimal	7638418
Binary	11101001000110110010010 (23 bits)
Octal	0o35106622
Hexadecimal	0x748D92

Divisor Catalog (8)

1 2 19 38 201,011 402,022 3,819,209 7,638,418

Collatz Trajectory (124 steps to reach 1)

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

7,638,418 3,819,209 11,457,628 5,728,814 2,864,407 8,593,222 4,296,611 12,889,834 6,444,917 19,334,752 9,667,376 4,833,688 2,416,844 1,208,422 604,211 1,812,634 906,317 2,718,952 1,359,476 679,738 339,869 1,019,608 509,804 254,902 127,451 382,354 191,177 573,532 286,766 143,383 430,150 215,075 645,226 322,613 967,840 483,920 241,960 120,980 60,490 30,245 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346

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