2,726,206

2 × 7 × 194729

Starting at 2,726,206, the Collatz iteration reaches 1 after 138 steps. The first transition is 1363103; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 194729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,673,520

Proper Divisor Sum 1,947,314

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2726201 ← → #2726209

Radix Representation

Decimal	2726206
Binary	1010011001100100111110 (22 bits)
Octal	0o12314476
Hexadecimal	0x29993E

Divisor Catalog (8)

1 2 7 14 194,729 389,458 1,363,103 2,726,206

Collatz Trajectory (138 steps to reach 1)

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

2,726,206 1,363,103 4,089,310 2,044,655 6,133,966 3,066,983 9,200,950 4,600,475 13,801,426 6,900,713 20,702,140 10,351,070 5,175,535 15,526,606 7,763,303 23,289,910 11,644,955 34,934,866 17,467,433 52,402,300 26,201,150 13,100,575 39,301,726 19,650,863 58,952,590 29,476,295 88,428,886 44,214,443 132,643,330 66,321,665 198,964,996 99,482,498 49,741,249 149,223,748 74,611,874 37,305,937 111,917,812 55,958,906 27,979,453 83,938,360 41,969,180 20,984,590 10,492,295 31,476,886 15,738,443 47,215,330 23,607,665 70,822,996 35,411,498 17,705,749 53,117,248 26,558,624 13,279,312 6,639,656 3,319,828 1,659,914 829,957 2,489,872 1,244,936 622,468

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