7,855,768

2³ × 17 × 47 × 1229

Starting at 7,855,768, the Collatz iteration reaches 1 after 124 steps. The first transition is 3927884; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 47 × 1229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,940,800

Proper Divisor Sum 8,085,032

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7855747 ← → #7855777

Radix Representation

Decimal	7855768
Binary	11101111101111010011000 (23 bits)
Octal	0o35757230
Hexadecimal	0x77DE98

Divisor Catalog (32)

1 2 4 8 17 34 47 68 94 136 188 376 799 1,229 1,598 2,458 3,196 4,916 6,392 9,832 20,893 41,786 57,763 83,572 115,526 167,144 231,052 462,104 981,971 1,963,942 3,927,884 7,855,768

Collatz Trajectory (124 steps to reach 1)

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

7,855,768 3,927,884 1,963,942 981,971 2,945,914 1,472,957 4,418,872 2,209,436 1,104,718 552,359 1,657,078 828,539 2,485,618 1,242,809 3,728,428 1,864,214 932,107 2,796,322 1,398,161 4,194,484 2,097,242 1,048,621 3,145,864 1,572,932 786,466 393,233 1,179,700 589,850 294,925 884,776 442,388 221,194 110,597 331,792 165,896 82,948 41,474 20,737 62,212 31,106 15,553 46,660 23,330 11,665 34,996 17,498 8,749 26,248 13,124 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385

← Previous Integer #7,855,767 Browse Full Index Next Integer #7,855,769 →