8,077,260

2² × 3 × 5 × 103 × 1307

Starting at 8,077,260, the Collatz iteration reaches 1 after 93 steps. The first transition is 4038630; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 103 × 1307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,853,376

Proper Divisor Sum 14,776,116

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8077259 ← → #8077271

Radix Representation

Decimal	8077260
Binary	11110110011111111001100 (23 bits)
Octal	0o36637714
Hexadecimal	0x7B3FCC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1,030 1,236 1,307 1,545 2,060 2,614 3,090 3,921 5,228 6,180 6,535 7,842 13,070 15,684 19,605 26,140 39,210 78,420 134,621 269,242 403,863 538,484 673,105 807,726 1,346,210 1,615,452 2,019,315 2,692,420 4,038,630 8,077,260

Collatz Trajectory (93 steps to reach 1)

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

8,077,260 4,038,630 2,019,315 6,057,946 3,028,973 9,086,920 4,543,460 2,271,730 1,135,865 3,407,596 1,703,798 851,899 2,555,698 1,277,849 3,833,548 1,916,774 958,387 2,875,162 1,437,581 4,312,744 2,156,372 1,078,186 539,093 1,617,280 808,640 404,320 202,160 101,080 50,540 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424

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