7,795,414

2 × 11 × 354337

Starting at 7,795,414, the Collatz iteration reaches 1 after 124 steps. The first transition is 3897707; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 354337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,756,168

Proper Divisor Sum 4,960,754

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7795397 ← → #7795423

Radix Representation

Decimal	7795414
Binary	11101101111001011010110 (23 bits)
Octal	0o35571326
Hexadecimal	0x76F2D6

Divisor Catalog (8)

1 2 11 22 354,337 708,674 3,897,707 7,795,414

Collatz Trajectory (124 steps to reach 1)

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

7,795,414 3,897,707 11,693,122 5,846,561 17,539,684 8,769,842 4,384,921 13,154,764 6,577,382 3,288,691 9,866,074 4,933,037 14,799,112 7,399,556 3,699,778 1,849,889 5,549,668 2,774,834 1,387,417 4,162,252 2,081,126 1,040,563 3,121,690 1,560,845 4,682,536 2,341,268 1,170,634 585,317 1,755,952 877,976 438,988 219,494 109,747 329,242 164,621 493,864 246,932 123,466 61,733 185,200 92,600 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450

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