7,565,806

2 × 59 × 97 × 661

Starting at 7,565,806, the Collatz iteration reaches 1 after 129 steps. The first transition is 3782903; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 97 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,677,680

Proper Divisor Sum 4,111,874

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7565783 ← → #7565813

Radix Representation

Decimal	7565806
Binary	11100110111000111101110 (23 bits)
Octal	0o34670756
Hexadecimal	0x7371EE

Divisor Catalog (16)

1 2 59 97 118 194 661 1,322 5,723 11,446 38,999 64,117 77,998 128,234 3,782,903 7,565,806

Collatz Trajectory (129 steps to reach 1)

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

7,565,806 3,782,903 11,348,710 5,674,355 17,023,066 8,511,533 25,534,600 12,767,300 6,383,650 3,191,825 9,575,476 4,787,738 2,393,869 7,181,608 3,590,804 1,795,402 897,701 2,693,104 1,346,552 673,276 336,638 168,319 504,958 252,479 757,438 378,719 1,136,158 568,079 1,704,238 852,119 2,556,358 1,278,179 3,834,538 1,917,269 5,751,808 2,875,904 1,437,952 718,976 359,488 179,744 89,872 44,936 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336

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