8,078,076

2² × 3³ × 74797

Starting at 8,078,076, the Collatz iteration reaches 1 after 230 steps. The first transition is 4039038; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 74797

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,943,440

Proper Divisor Sum 12,865,364

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8078071 ← → #8078087

Radix Representation

Decimal	8078076
Binary	11110110100001011111100 (23 bits)
Octal	0o36641374
Hexadecimal	0x7B42FC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 74,797 149,594 224,391 299,188 448,782 673,173 897,564 1,346,346 2,019,519 2,692,692 4,039,038 8,078,076

Collatz Trajectory (230 steps to reach 1)

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

8,078,076 4,039,038 2,019,519 6,058,558 3,029,279 9,087,838 4,543,919 13,631,758 6,815,879 20,447,638 10,223,819 30,671,458 15,335,729 46,007,188 23,003,594 11,501,797 34,505,392 17,252,696 8,626,348 4,313,174 2,156,587 6,469,762 3,234,881 9,704,644 4,852,322 2,426,161 7,278,484 3,639,242 1,819,621 5,458,864 2,729,432 1,364,716 682,358 341,179 1,023,538 511,769 1,535,308 767,654 383,827 1,151,482 575,741 1,727,224 863,612 431,806 215,903 647,710 323,855 971,566 485,783 1,457,350 728,675 2,186,026 1,093,013 3,279,040 1,639,520 819,760 409,880 204,940 102,470 51,235

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