8,078,607

3² × 107 × 8389

Starting at 8,078,607, the Collatz iteration reaches 1 after 261 steps. The first transition is 24235822; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 107 × 8389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,779,560

Proper Divisor Sum 3,700,953

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8078579 ← → #8078611

Radix Representation

Decimal	8078607
Binary	11110110100010100001111 (23 bits)
Octal	0o36642417
Hexadecimal	0x7B450F

Divisor Catalog (12)

1 3 9 107 321 963 8,389 25,167 75,501 897,623 2,692,869 8,078,607

Collatz Trajectory (261 steps to reach 1)

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

8,078,607 24,235,822 12,117,911 36,353,734 18,176,867 54,530,602 27,265,301 81,795,904 40,897,952 20,448,976 10,224,488 5,112,244 2,556,122 1,278,061 3,834,184 1,917,092 958,546 479,273 1,437,820 718,910 359,455 1,078,366 539,183 1,617,550 808,775 2,426,326 1,213,163 3,639,490 1,819,745 5,459,236 2,729,618 1,364,809 4,094,428 2,047,214 1,023,607 3,070,822 1,535,411 4,606,234 2,303,117 6,909,352 3,454,676 1,727,338 863,669 2,591,008 1,295,504 647,752 323,876 161,938 80,969 242,908 121,454 60,727 182,182 91,091 273,274 136,637 409,912 204,956 102,478 51,239

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