7,606,122

2 × 3 × 131 × 9677

Starting at 7,606,122, the Collatz iteration reaches 1 after 103 steps. The first transition is 3803061; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 9677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,329,952

Proper Divisor Sum 7,723,830

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7606121 ← → #7606139

Radix Representation

Decimal	7606122
Binary	11101000000111101101010 (23 bits)
Octal	0o35007552
Hexadecimal	0x740F6A

Divisor Catalog (16)

1 2 3 6 131 262 393 786 9,677 19,354 29,031 58,062 1,267,687 2,535,374 3,803,061 7,606,122

Collatz Trajectory (103 steps to reach 1)

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

7,606,122 3,803,061 11,409,184 5,704,592 2,852,296 1,426,148 713,074 356,537 1,069,612 534,806 267,403 802,210 401,105 1,203,316 601,658 300,829 902,488 451,244 225,622 112,811 338,434 169,217 507,652 253,826 126,913 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044

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