8,059,648

2⁸ × 19 × 1657

Starting at 8,059,648, the Collatz iteration reaches 1 after 137 steps. The first transition is 4029824; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 19 × 1657

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 16,944,760

Proper Divisor Sum 8,885,112

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8059643 ← → #8059661

Radix Representation

Decimal	8059648
Binary	11110101111101100000000 (23 bits)
Octal	0o36575400
Hexadecimal	0x7AFB00

Divisor Catalog (36)

1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1,216 1,657 2,432 3,314 4,864 6,628 13,256 26,512 31,483 53,024 62,966 106,048 125,932 212,096 251,864 424,192 503,728 1,007,456 2,014,912 4,029,824 8,059,648

Collatz Trajectory (137 steps to reach 1)

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

8,059,648 4,029,824 2,014,912 1,007,456 503,728 251,864 125,932 62,966 31,483 94,450 47,225 141,676 70,838 35,419 106,258 53,129 159,388 79,694 39,847 119,542 59,771 179,314 89,657 268,972 134,486 67,243 201,730 100,865 302,596 151,298 75,649 226,948 113,474 56,737 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522

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