7,781,409

3² × 43 × 20107

Starting at 7,781,409, the Collatz iteration reaches 1 after 217 steps. The first transition is 23344228; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 43 × 20107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,501,776

Proper Divisor Sum 3,720,367

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7781377 ← → #7781413

Radix Representation

Decimal	7781409
Binary	11101101011110000100001 (23 bits)
Octal	0o35536041
Hexadecimal	0x76BC21

Divisor Catalog (12)

1 3 9 43 129 387 20,107 60,321 180,963 864,601 2,593,803 7,781,409

Collatz Trajectory (217 steps to reach 1)

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

7,781,409 23,344,228 11,672,114 5,836,057 17,508,172 8,754,086 4,377,043 13,131,130 6,565,565 19,696,696 9,848,348 4,924,174 2,462,087 7,386,262 3,693,131 11,079,394 5,539,697 16,619,092 8,309,546 4,154,773 12,464,320 6,232,160 3,116,080 1,558,040 779,020 389,510 194,755 584,266 292,133 876,400 438,200 219,100 109,550 54,775 164,326 82,163 246,490 123,245 369,736 184,868 92,434 46,217 138,652 69,326 34,663 103,990 51,995 155,986 77,993 233,980 116,990 58,495 175,486 87,743 263,230 131,615 394,846 197,423 592,270 296,135

← Previous Integer #7,781,408 Browse Full Index Next Integer #7,781,410 →